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708.0749
Nodal free geometric phases: Concept and application to geometric quantum computation
Nodal free geometric phases are the eigenvalues of the final member of a parallel transporting family of unitary operators. These phases are gauge invariant, always well-defined, and can be measured interferometrically. Nodal free geometric phases can be used to construct various types of quantum phase gates.
quant-ph
nodal free geometric phases are the eigenvalues of the final member of a parallel transporting family of unitary operators these phases are gauge invariant always welldefined and can be measured interferometrically nodal free geometric phases can be used to construct various types of quantum phase gates
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708.075
On the q-quantum gravity loop algebra
A class of deformations of the q-quantum gravity loop algebra is shown to be incompatible with the combinatorics of Temperley-Lieb recoupling theory with deformation parameter at a root of unity. This incompatibility appears to extend to more general deformation parameters.
gr-qc
a class of deformations of the qquantum gravity loop algebra is shown to be incompatible with the combinatorics of temperleylieb recoupling theory with deformation parameter at a root of unity this incompatibility appears to extend to more general deformation parameters
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708.0751
On the relativistic iron line and soft excess in the Seyfert 1 galaxy Markarian 335
We report on a 133 ks XMM-Newton observation of the Seyfert 1 galaxy Markarian 335. The 0.4-12 keV spectrum contains an underlying power law continuum, a soft excess below 2 keV, and a double-peaked iron emission feature in the 6-7 keV range. We investigate the possibility that the double-peaked emission might represent the characteristic signature of the accretion disc. Detailed investigations show that a moderately broad, accretion disc line is most likely present, but that the peaks may be owing to narrower components from more distant material. The peaks at 6.4 and 7 keV can be identified, respectively, with the molecular torus in active galactic nucleus unification schemes, and very highly ionized, optically thin gas filling the torus. The X-ray variability spectra on both long (~100 ks) and short (~1 ks) timescales disfavour the recent suggestion that the soft excess is an artifact of variable, moderately ionized absorption.
astro-ph
we report on a 133 ks xmmnewton observation of the seyfert 1 galaxy markarian 335 the 0412 kev spectrum contains an underlying power law continuum a soft excess below 2 kev and a doublepeaked iron emission feature in the 67 kev range we investigate the possibility that the doublepeaked emission might represent the characteristic signature of the accretion disc detailed investigations show that a moderately broad accretion disc line is most likely present but that the peaks may be owing to narrower components from more distant material the peaks at 64 and 7 kev can be identified respectively with the molecular torus in active galactic nucleus unification schemes and very highly ionized optically thin gas filling the torus the xray variability spectra on both long 100 ks and short 1 ks timescales disfavour the recent suggestion that the soft excess is an artifact of variable moderately ionized absorption
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708.0752
Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
By performing high-resolution two-color photoassociation spectroscopy, we have successfully determined the binding energies of several of the last bound states of the homonuclear dimers of six different isotopes of ytterbium. These spectroscopic data are in excellent agreement with theoretical calculations based on a simple model potential, which very precisely predicts the s-wave scattering lengths of all 28 pairs of the seven stable isotopes. The s-wave scattering lengths for collision of two atoms of the same isotopic species are 13.33(18) nm for ^{168}Yb, 3.38(11) nm for ^{170}Yb, -0.15(19) nm for ^{171}Yb, -31.7(3.4) nm for ^{172}Yb, 10.55(11) nm for ^{173}Yb, 5.55(8) nm for ^{174}Yb, and -1.28(23) nm for ^{176}Yb. The coefficient of the lead term of the long-range van der Waals potential of the Yb_2 molecule is C_6=1932(30) atomic units $(E_h a_0^6 \approx 9.573\times 10^{-26}$ J nm^6).
physics.atom-ph
by performing highresolution twocolor photoassociation spectroscopy we have successfully determined the binding energies of several of the last bound states of the homonuclear dimers of six different isotopes of ytterbium these spectroscopic data are in excellent agreement with theoretical calculations based on a simple model potential which very precisely predicts the swave scattering lengths of all 28 pairs of the seven stable isotopes the swave scattering lengths for collision of two atoms of the same isotopic species are 133318 nm for 168yb 33811 nm for 170yb 01519 nm for 171yb 31734 nm for 172yb 105511 nm for 173yb 5558 nm for 174yb and 12823 nm for 176yb the coefficient of the lead term of the longrange van der waals potential of the yb_2 molecule is c_6193230 atomic units e_h a_06 approx 9573times 1026 j nm6
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708.0753
The Baryonic and Dark Matter Properties of High Redshift Gravitationally Lensed Disk Galaxies
We present a detailed study of the structural properties of four gravitationally lensed disk galaxies at z=1. Modelling the rotation curves on sub-kpc scales we derive the values for the disk mass, the reference dark matter density and core radius, and the angular momentum per unit mass. The derived models suggest that the rotation curve profile and amplitude are best fit with a dark matter component similar to those of local spiral galaxies. The stellar component also has a similar length scale, but with substantially smaller masses than similarly luminous disk galaxies in the local universe. Comparing the average dark matter density inside the optical radius we find that the disk galaxies at z=1 have larger densities (by up to a factor of 7) than similar disk galaxies in the local Universe. Furthermore, the angular momentum per unit mass versus reference velocity is well matched to the local relation, suggesting that the angular momentum of the disk remains constant between high redshifts and the present day. Though statistically limited, these observations point towards a spirals' formation scenario in which stellar disks are slowly grown by the accretion of angular momentum conserving material.
astro-ph
we present a detailed study of the structural properties of four gravitationally lensed disk galaxies at z1 modelling the rotation curves on subkpc scales we derive the values for the disk mass the reference dark matter density and core radius and the angular momentum per unit mass the derived models suggest that the rotation curve profile and amplitude are best fit with a dark matter component similar to those of local spiral galaxies the stellar component also has a similar length scale but with substantially smaller masses than similarly luminous disk galaxies in the local universe comparing the average dark matter density inside the optical radius we find that the disk galaxies at z1 have larger densities by up to a factor of 7 than similar disk galaxies in the local universe furthermore the angular momentum per unit mass versus reference velocity is well matched to the local relation suggesting that the angular momentum of the disk remains constant between high redshifts and the present day though statistically limited these observations point towards a spirals formation scenario in which stellar disks are slowly grown by the accretion of angular momentum conserving material
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708.0754
Magneto-elastic coupling in hexagonal YMnO_3
We report an ultrasonic investigation of the elastic moduli on a single crystal of hexagonal YMnO_3 as a function of temperature. Stiffening anomalies in the antiferromagnetic N\'eel state below T_N = 72.4 K are observed on all the four elastic moduli C_{ii}. The anomalies are the most important on C_{11} and C_{66} for in-plane elastic deformations; this is consistent with a strong coupling of the lattice with the in-plane exchange interactions. We use a Landau free energy model to account for these elastic anomalies. We derive an expression which relates the temperature profile of the anomaly to the order parameter; the critical exponent associated to this parameter $\beta$ = 0.42 is not consistent with a chiral XY or 3D Heisenberg universality class, but more in agreement with a conventional antiferromagnetic long range order. A tiny softening anomaly on C_{11} for which hysteresis effects are observed could be indicative of an interaction between ferroelectric and magnetic domains at T_N. Moreover, magnetic fluctuations effects both above and below T_N are identified through abnormal temperature and magnetic field effects.
cond-mat.str-el
we report an ultrasonic investigation of the elastic moduli on a single crystal of hexagonal ymno_3 as a function of temperature stiffening anomalies in the antiferromagnetic neel state below t_n 724 k are observed on all the four elastic moduli c_ii the anomalies are the most important on c_11 and c_66 for inplane elastic deformations this is consistent with a strong coupling of the lattice with the inplane exchange interactions we use a landau free energy model to account for these elastic anomalies we derive an expression which relates the temperature profile of the anomaly to the order parameter the critical exponent associated to this parameter beta 042 is not consistent with a chiral xy or 3d heisenberg universality class but more in agreement with a conventional antiferromagnetic long range order a tiny softening anomaly on c_11 for which hysteresis effects are observed could be indicative of an interaction between ferroelectric and magnetic domains at t_n moreover magnetic fluctuations effects both above and below t_n are identified through abnormal temperature and magnetic field effects
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708.0755
Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos
In these notes we discuss the "self-reducibility property" of the Weil representation. We explain how to use this property to obtain sharp estimates of certain higher-dimensional exponential sums which originate from the theory of quantum chaos. As a result, we obtain the Hecke quantum unique ergodicity theorem for generic linear symplectomorphism $A$ of the torus $T^{2N}=R^{2N}/Z^{2N}.
math-ph math.MP math.RT
in these notes we discuss the selfreducibility property of the weil representation we explain how to use this property to obtain sharp estimates of certain higherdimensional exponential sums which originate from the theory of quantum chaos as a result we obtain the hecke quantum unique ergodicity theorem for generic linear symplectomorphism a of the torus t2nr2nz2n
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708.0756
Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption
We study the limit behaviour of solutions of a class of solutions of nonlinear parabolic equations with a degenerate strong absorption. We prove that two types of phenomena can occur: the pointwise singularity or the formation of razor blades (or persistent singularities).
math.AP math.CA
we study the limit behaviour of solutions of a class of solutions of nonlinear parabolic equations with a degenerate strong absorption we prove that two types of phenomena can occur the pointwise singularity or the formation of razor blades or persistent singularities
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708.0757
Separable solutions of some quasilinear equations with source reaction
We study the existence of singular separable solutions to a class of quasilinear equations with reaction term. In the 2-dim case, we use a dynamical system approach to construct our solutions.
math.AP math.DS
we study the existence of singular separable solutions to a class of quasilinear equations with reaction term in the 2dim case we use a dynamical system approach to construct our solutions
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708.0758
A Subgroup of a Direct Product of Free Groups whose Dehn Function has a Cubic Lower Bound
We establish a cubic lower bound on the Dehn function of a certain finitely presented subgroup of a direct product of 3 free groups.
math.GR math.GT
we establish a cubic lower bound on the dehn function of a certain finitely presented subgroup of a direct product of 3 free groups
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708.0759
Effective Action in a General Chiral Model: Next to Leading Order Derivative Expansion in the Worldline Method
We present a formalism to determine the imaginary part of a general chiral model in the derivative expansion. Our formalism is based on the worldline path integral for the covariant current that can be given in an explicit chiral and gauge covariant form. The effective action is then obtained by integrating the covariant current, taking account of the anomaly.
hep-th hep-ph
we present a formalism to determine the imaginary part of a general chiral model in the derivative expansion our formalism is based on the worldline path integral for the covariant current that can be given in an explicit chiral and gauge covariant form the effective action is then obtained by integrating the covariant current taking account of the anomaly
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708.076
De-coupling of Exchange and Persistence Times in Atomistic Models of Glass Formers
With molecular dynamics simulations of a fluid mixture of classical particles interacting with pair-wise additive Weeks-Chandler-Andersen potentials, we consider the time series of particle displacements and thereby determine distributions for local persistence times and local exchange times. These basic characterizations of glassy dynamics are studied over a range of super-cooled conditions and shown to have behaviors, most notably de-coupling, similar to those found in kinetically constrained lattice models of structural glasses. Implications are noted.
cond-mat.stat-mech cond-mat.soft
with molecular dynamics simulations of a fluid mixture of classical particles interacting with pairwise additive weekschandlerandersen potentials we consider the time series of particle displacements and thereby determine distributions for local persistence times and local exchange times these basic characterizations of glassy dynamics are studied over a range of supercooled conditions and shown to have behaviors most notably decoupling similar to those found in kinetically constrained lattice models of structural glasses implications are noted
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708.0761
Statistics of quantum transmission in one dimension with broad disorder
We study the statistics of quantum transmission through a one-dimensional disordered system modelled by a sequence of independent scattering units. Each unit is characterized by its length and by its action, which is proportional to the logarithm of the transmission probability through this unit. Unit actions and lengths are independent random variables, with a common distribution that is either narrow or broad. This investigation is motivated by results on disordered systems with non-stationary random potentials whose fluctuations grow with distance. In the statistical ensemble at fixed total sample length four phases can be distinguished, according to the values of the indices characterizing the distribution of the unit actions and lengths. The sample action, which is proportional to the logarithm of the conductance across the sample, is found to obey a fluctuating scaling law, and therefore to be non-self-averaging, in three of the four phases. According to the values of the two above mentioned indices, the sample action may typically grow less rapidly than linearly with the sample length (underlocalization), more rapidly than linearly (superlocalization), or linearly but with non-trivial sample-to-sample fluctuations (fluctuating localization).
cond-mat.stat-mech cond-mat.mes-hall
we study the statistics of quantum transmission through a onedimensional disordered system modelled by a sequence of independent scattering units each unit is characterized by its length and by its action which is proportional to the logarithm of the transmission probability through this unit unit actions and lengths are independent random variables with a common distribution that is either narrow or broad this investigation is motivated by results on disordered systems with nonstationary random potentials whose fluctuations grow with distance in the statistical ensemble at fixed total sample length four phases can be distinguished according to the values of the indices characterizing the distribution of the unit actions and lengths the sample action which is proportional to the logarithm of the conductance across the sample is found to obey a fluctuating scaling law and therefore to be nonselfaveraging in three of the four phases according to the values of the two above mentioned indices the sample action may typically grow less rapidly than linearly with the sample length underlocalization more rapidly than linearly superlocalization or linearly but with nontrivial sampletosample fluctuations fluctuating localization
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708.0762
Red Halos of Galaxies - Reservoirs of Baryonic Dark Matter?
Deep optical/near-IR surface photometry of galaxies outside the Local Group have revealed faint and very red halos around objects as diverse as disk galaxies and starbursting dwarf galaxies. The colours of these structures are too extreme to be reconciled with stellar populations similar to those seen in the stellar halos of the Milky Way or M31, and alternative explanations like dust reddening, high metallicities or nebular emission are also disfavoured. A stellar population obeying an extremely bottom-heavy initial mass function (IMF), is on the other hand consistent with all available data. Because of its high mass-to-light ratio, such a population would effectively behave as baryonic dark matter and could account for some of the baryons still missing in the low-redshift Universe. Here, we give an overview of current red halo detections, alternative explanations for the origin of the red colours and ongoing searches for red halos around types of galaxies for which this phenomenon has not yet been reported. A number of potential tests of the bottom-heavy IMF hypothesis are also discussed.
astro-ph
deep opticalnearir surface photometry of galaxies outside the local group have revealed faint and very red halos around objects as diverse as disk galaxies and starbursting dwarf galaxies the colours of these structures are too extreme to be reconciled with stellar populations similar to those seen in the stellar halos of the milky way or m31 and alternative explanations like dust reddening high metallicities or nebular emission are also disfavoured a stellar population obeying an extremely bottomheavy initial mass function imf is on the other hand consistent with all available data because of its high masstolight ratio such a population would effectively behave as baryonic dark matter and could account for some of the baryons still missing in the lowredshift universe here we give an overview of current red halo detections alternative explanations for the origin of the red colours and ongoing searches for red halos around types of galaxies for which this phenomenon has not yet been reported a number of potential tests of the bottomheavy imf hypothesis are also discussed
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708.0763
Diquark approach to calculating the mass and stability of multiquark states
By using of vector diquark ideas in the chiral limit diquark correlations in the relativistic region and imposing HF interactions between quarks in a vector diquark we calculated the mass of two multiquark states (Theta pentaquark and H dibaryon), also by using of tunneling method we simultaneously calculated their decay width
hep-ph
by using of vector diquark ideas in the chiral limit diquark correlations in the relativistic region and imposing hf interactions between quarks in a vector diquark we calculated the mass of two multiquark states theta pentaquark and h dibaryon also by using of tunneling method we simultaneously calculated their decay width
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708.0764
Experimental quantum state tomography of a solid state qubit
Full quantum state tomography is used to characterize the state of an ensemble based qubit implemented through two hyperfine levels in Pr3+ ions, doped into a Y2SiO5 crystal. We experimentally verify that single-qubit rotation errors due to inhomogeneities of the ensemble can be suppressed using the Roos-Moelmer dark state scheme. Fidelities above >90%, presumably limited by excited state decoherence, were achieved. Although not explicitly taken care of in the Roos-Moelmer scheme, it appears that also decoherence due to inhomogeneous broadening on the hyperfine transition is largely suppressed.
quant-ph
full quantum state tomography is used to characterize the state of an ensemble based qubit implemented through two hyperfine levels in pr3 ions doped into a y2sio5 crystal we experimentally verify that singlequbit rotation errors due to inhomogeneities of the ensemble can be suppressed using the roosmoelmer dark state scheme fidelities above 90 presumably limited by excited state decoherence were achieved although not explicitly taken care of in the roosmoelmer scheme it appears that also decoherence due to inhomogeneous broadening on the hyperfine transition is largely suppressed
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708.0765
Anisotropic fluxes and nonlocal interactions in MHD turbulence
We investigate the locality or nonlocality of the energy transfer and of the spectral interactions involved in the cascade for decaying magnetohydrodynamic (MHD) flows in the presence of a uniform magnetic field $\bf B$ at various intensities. The results are based on a detailed analysis of three-dimensional numerical flows at moderate Reynold numbers. The energy transfer functions, as well as the global and partial fluxes, are examined by means of different geometrical wavenumber shells. On the one hand, the transfer functions of the two conserved Els\"asser energies $E^+$ and $E^-$ are found local in both the directions parallel ($k_\|$-direction) and perpendicular ($k_\perp$-direction) to the magnetic guide-field, whatever the ${\bf B}$-strength. On the other hand, from the flux analysis, the interactions between the two counterpropagating Els\"asser waves become nonlocal. Indeed, as the ${\bf B}$-intensity is increased, local interactions are strongly decreased and the interactions with small $k_\|$ modes dominate the cascade. Most of the energy flux in the $k_\perp$-direction is due to modes in the plane at $k_\|=0$, while the weaker cascade in the $k_\|$-direction is due to the modes with $k_\|=1$. The stronger magnetized flows tends thus to get closer to the weak turbulence limit where the three-wave resonant interactions are dominating. Hence, the transition from the strong to the weak turbulence regime occurs by reducing the number of effective modes in the energy cascade.
physics.flu-dyn physics.plasm-ph
we investigate the locality or nonlocality of the energy transfer and of the spectral interactions involved in the cascade for decaying magnetohydrodynamic mhd flows in the presence of a uniform magnetic field bf b at various intensities the results are based on a detailed analysis of threedimensional numerical flows at moderate reynold numbers the energy transfer functions as well as the global and partial fluxes are examined by means of different geometrical wavenumber shells on the one hand the transfer functions of the two conserved elsasser energies e and e are found local in both the directions parallel k_direction and perpendicular k_perpdirection to the magnetic guidefield whatever the bf bstrength on the other hand from the flux analysis the interactions between the two counterpropagating elsasser waves become nonlocal indeed as the bf bintensity is increased local interactions are strongly decreased and the interactions with small k_ modes dominate the cascade most of the energy flux in the k_perpdirection is due to modes in the plane at k_0 while the weaker cascade in the k_direction is due to the modes with k_1 the stronger magnetized flows tends thus to get closer to the weak turbulence limit where the threewave resonant interactions are dominating hence the transition from the strong to the weak turbulence regime occurs by reducing the number of effective modes in the energy cascade
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708.0766
Invariant rigid geometric structures and smooth projective factors
We consider actions of non-compact simple Lie groups preserving an analytic rigid geometric structure of algebraic type on a compact manifold. The structure is not assumed to be unimodular, so an invariant measure may not exist. Ergodic stationary measures always exist, and when such a measure has full support, we show the following. 1) Either the manifold admits a smooth equivariant map onto a homogeneous projective variety, defined on an open dense conull invariant set, or the Lie algebra of the Zariski closure of the Gromov representation of the fundamental group contains a Lie subalgebra isomorphic to the Lie algebra of the acting group. As a corollary, a smooth non-trivial homogeneous projective factor does exist whenever the fundamental group of $M$ admits only virtually solvable linear representations, and thus in particular when $M$ is simply connected, regardless of the real rank. 2) There exist explicit examples showing that analytic rigid actions of certain simple groups (of real rank one) may indeed fail to have a smooth projective factor. 3) It is possible to generalize Gromov's theorem on the algebraic hull of the representation of the fundamental group of the manifold to the case of analytic rigid non-unimodular structures, for actions of simple groups of any real rank. An important ingredient in the proofs is a generalization of Gromov's centralizer theorem beyond the case of invariant measures.
math.DS math.DG
we consider actions of noncompact simple lie groups preserving an analytic rigid geometric structure of algebraic type on a compact manifold the structure is not assumed to be unimodular so an invariant measure may not exist ergodic stationary measures always exist and when such a measure has full support we show the following 1 either the manifold admits a smooth equivariant map onto a homogeneous projective variety defined on an open dense conull invariant set or the lie algebra of the zariski closure of the gromov representation of the fundamental group contains a lie subalgebra isomorphic to the lie algebra of the acting group as a corollary a smooth nontrivial homogeneous projective factor does exist whenever the fundamental group of m admits only virtually solvable linear representations and thus in particular when m is simply connected regardless of the real rank 2 there exist explicit examples showing that analytic rigid actions of certain simple groups of real rank one may indeed fail to have a smooth projective factor 3 it is possible to generalize gromovs theorem on the algebraic hull of the representation of the fundamental group of the manifold to the case of analytic rigid nonunimodular structures for actions of simple groups of any real rank an important ingredient in the proofs is a generalization of gromovs centralizer theorem beyond the case of invariant measures
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708.0767
Collisionsless amplifying of longitudinal electron waves in two-stream plasma
To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type electron velocity distribution function of each of the streams with velocities v(1) and v(2). The traditional dispersion equation is reduced to an algebraic 4th order equation, for which numerical solutions are presented for a variant of equal stream densities. In the case of uniform half-infinite slab one finds two dominant type solutions: non-damping forward waves and forward complex conjugated exponentially both damping and growing waves. Beside it in this case there is no necessity of calculation any logarithmically divergent indefinite integrals. The possibility of wave amplifying might be useful in practical applications.
physics.plasm-ph
to better understanding the principal features of collisionless dampinggrowing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in twostream plasmas with the deltafunction type electron velocity distribution function of each of the streams with velocities v1 and v2 the traditional dispersion equation is reduced to an algebraic 4th order equation for which numerical solutions are presented for a variant of equal stream densities in the case of uniform halfinfinite slab one finds two dominant type solutions nondamping forward waves and forward complex conjugated exponentially both damping and growing waves beside it in this case there is no necessity of calculation any logarithmically divergent indefinite integrals the possibility of wave amplifying might be useful in practical applications
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708.0768
Measurement of single electron emission in two-phase xenon
We present the first measurements of the electroluminescence response to the emission of single electrons in a two-phase noble gas detector. Single ionization electrons generated in liquid xenon are detected in a thin gas layer during the 31-day background run of the ZEPLIN-II experiment, a two-phase xenon detector for WIMP dark matter searches. Both the pressure dependence and magnitude of the single-electron response are in agreement with previous measurements of electroluminescence yield in xenon. We discuss different photoionization processes as possible cause for the sample of single electrons studied in this work. This observation may have implications for the design and operation of future large-scale two-phase systems.
physics.ins-det
we present the first measurements of the electroluminescence response to the emission of single electrons in a twophase noble gas detector single ionization electrons generated in liquid xenon are detected in a thin gas layer during the 31day background run of the zeplinii experiment a twophase xenon detector for wimp dark matter searches both the pressure dependence and magnitude of the singleelectron response are in agreement with previous measurements of electroluminescence yield in xenon we discuss different photoionization processes as possible cause for the sample of single electrons studied in this work this observation may have implications for the design and operation of future largescale twophase systems
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708.0769
Fragmentation functions for pions, kaons, protons and charged hadrons
We present new sets of pion, kaon, proton and inclusive charged hadron fragmentation functions obtained in NLO combined analyses of single-inclusive hadron production in electron-positron annihilation, proton-proton collisions, and deep-inelastic lepton-proton scattering with either particles identified in the final state. At variance with all previous fits, the present analyses take into account data where hadrons of different electrical charge are identified, which allow to discriminate quark from anti-quark fragmentation functions.
hep-ph nucl-th
we present new sets of pion kaon proton and inclusive charged hadron fragmentation functions obtained in nlo combined analyses of singleinclusive hadron production in electronpositron annihilation protonproton collisions and deepinelastic leptonproton scattering with either particles identified in the final state at variance with all previous fits the present analyses take into account data where hadrons of different electrical charge are identified which allow to discriminate quark from antiquark fragmentation functions
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708.077
Control of atomic entanglement by dynamic Stark effect
We study the entanglement properties of two three-level Rydberg atoms passing through a single-mode cavity. The interaction of an atom with the cavity field allows the atom to make a transition from the upper most (lower most) to the lower most (upper most) level by emission (absoprtion) of two photons via the middle level. We employ an effective Hamiltonian that describes the system with a Stark shifted two-photon atomic transition. We compute the entanglement of formation of the joint two-atom state as a function of Rabi angle $gt$. It is shown that the Stark shift can be used to enhance the magnitude of atomic entanglement over that obtained in the resonant condition for certain parameter values. We find that though the two-atom entanglement generally diminishes with the increase of the two-photon detuning and the Stark shift, it is possible to sustain the entanglement over a range of interaction times by making the detuning and the Stark shift compensate each other. Similar characteristics are obtained for a thermal state cavity field too.
quant-ph
we study the entanglement properties of two threelevel rydberg atoms passing through a singlemode cavity the interaction of an atom with the cavity field allows the atom to make a transition from the upper most lower most to the lower most upper most level by emission absoprtion of two photons via the middle level we employ an effective hamiltonian that describes the system with a stark shifted twophoton atomic transition we compute the entanglement of formation of the joint twoatom state as a function of rabi angle gt it is shown that the stark shift can be used to enhance the magnitude of atomic entanglement over that obtained in the resonant condition for certain parameter values we find that though the twoatom entanglement generally diminishes with the increase of the twophoton detuning and the stark shift it is possible to sustain the entanglement over a range of interaction times by making the detuning and the stark shift compensate each other similar characteristics are obtained for a thermal state cavity field too
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708.0771
Ejection of Supermassive Black Holes from Galaxy Cores
[Abridged] Recent numerical relativity simulations have shown that the emission of gravitational waves during the merger of two supermassive black holes (SMBHs) delivers a kick to the final hole, with a magnitude as large as 4000 km/s. We study the motion of SMBHs ejected from galaxy cores by such kicks and the effects on the stellar distribution using high-accuracy direct N-body simulations. Following the kick, the motion of the SMBH exhibits three distinct phases. (1) The SMBH oscillates with decreasing amplitude, losing energy via dynamical friction each time it passes through the core. Chandrasekhar's theory accurately reproduces the motion of the SMBH in this regime if 2 < ln Lambda < 3 and if the changing core density is taken into account. (2) When the amplitude of the motion has fallen to roughly the core radius, the SMBH and core begin to exhibit oscillations about their common center of mass. These oscillations decay with a time constant that is at least 10 times longer than would be predicted by naive application of the dynamical friction formula. (3) Eventually, the SMBH reaches thermal equilibrium with the stars. We estimate the time for the SMBH's oscillations to damp to the Brownian level in real galaxies and infer times as long as 1 Gyr in the brightest galaxies. Ejection of SMBHs also results in a lowered density of stars near the galaxy center; mass deficits as large as five times the SMBH mass are produced for kick velocities near the escape velocity. We compare the N-body density profiles with luminosity profiles of early-type galaxies in Virgo and show that even the largest observed cores can be reproduced by the kicks, without the need to postulate hypermassive binary SMBHs. Implications for displaced AGNs and helical radio structures are discussed.
astro-ph
abridged recent numerical relativity simulations have shown that the emission of gravitational waves during the merger of two supermassive black holes smbhs delivers a kick to the final hole with a magnitude as large as 4000 kms we study the motion of smbhs ejected from galaxy cores by such kicks and the effects on the stellar distribution using highaccuracy direct nbody simulations following the kick the motion of the smbh exhibits three distinct phases 1 the smbh oscillates with decreasing amplitude losing energy via dynamical friction each time it passes through the core chandrasekhars theory accurately reproduces the motion of the smbh in this regime if 2 ln lambda 3 and if the changing core density is taken into account 2 when the amplitude of the motion has fallen to roughly the core radius the smbh and core begin to exhibit oscillations about their common center of mass these oscillations decay with a time constant that is at least 10 times longer than would be predicted by naive application of the dynamical friction formula 3 eventually the smbh reaches thermal equilibrium with the stars we estimate the time for the smbhs oscillations to damp to the brownian level in real galaxies and infer times as long as 1 gyr in the brightest galaxies ejection of smbhs also results in a lowered density of stars near the galaxy center mass deficits as large as five times the smbh mass are produced for kick velocities near the escape velocity we compare the nbody density profiles with luminosity profiles of earlytype galaxies in virgo and show that even the largest observed cores can be reproduced by the kicks without the need to postulate hypermassive binary smbhs implications for displaced agns and helical radio structures are discussed
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708.0772
Design of a mode converter for efficient light-atom coupling in free space
In this article, we describe how to develop a mode converter that transforms a plane electromagnetic wave into an inward moving dipole wave. The latter one is intended to bring a single atom or ion from its ground state to its excited state by absorption of a single photon wave packet with near-100% efficiency.
quant-ph
in this article we describe how to develop a mode converter that transforms a plane electromagnetic wave into an inward moving dipole wave the latter one is intended to bring a single atom or ion from its ground state to its excited state by absorption of a single photon wave packet with near100 efficiency
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708.0773
S=-1,-2 baryon-baryon interactions in chiral effective field theory
We have constructed the leading order strangeness S=-1,-2 baryon-baryon potential in a chiral effective field theory approach. The chiral potential consists of one-pseudoscalar-meson exchanges and non-derivative four-baryon contact terms. The potential, derived using SU(3) symmetry constraints, contains six independent low-energy coefficients. We have solved a regularized Lippmann-Schwinger equation and achieved a good description of the available scattering data. Furthermore a correctly bound hypertriton has been obtained.
nucl-th
we have constructed the leading order strangeness s12 baryonbaryon potential in a chiral effective field theory approach the chiral potential consists of onepseudoscalarmeson exchanges and nonderivative fourbaryon contact terms the potential derived using su3 symmetry constraints contains six independent lowenergy coefficients we have solved a regularized lippmannschwinger equation and achieved a good description of the available scattering data furthermore a correctly bound hypertriton has been obtained
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708.0774
Ergodicity of the $\Delta_3$ statistic and purity of neutron resonance data
The $\Delta_3(L)$ statistic characterizes the fluctuations of the number of levels as a function of the length of the spectral interval. It is studied as a possible tool to indicate the regular or chaotic nature of underlying dynamics, detect missing levels and the mixing of sequences of levels of different symmetry, particularly in neutron resonance data. The relation between the ensemble average and the average over different fragments of a given realization of spectra is considered. A useful expression for the variance of $\Delta_3(L)$ which accounts for finite sample size is discussed. An analysis of neutron resonance data presents the results consistent with a maximum likelihood method applied to the level spacing distribution.
nucl-th
the delta_3l statistic characterizes the fluctuations of the number of levels as a function of the length of the spectral interval it is studied as a possible tool to indicate the regular or chaotic nature of underlying dynamics detect missing levels and the mixing of sequences of levels of different symmetry particularly in neutron resonance data the relation between the ensemble average and the average over different fragments of a given realization of spectra is considered a useful expression for the variance of delta_3l which accounts for finite sample size is discussed an analysis of neutron resonance data presents the results consistent with a maximum likelihood method applied to the level spacing distribution
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708.0775
Breit type equation for mesonic atoms
The finite size effects and relativistic corrections in pionic and kaonic hydrogen are evaluated by generalizing the Breit equation for a spin-0 - spin-1/2 amplitude with the inclusion of the hadron electromagnetic form factors. The agreement of the relativistic corrections to the energies of the mesonic atoms with other methods used to evaluate them is not exact, but reasonably good. The precision values of the energy shifts due to the strong interaction, extracted from data, are however subject to the hadronic form factor uncertainties.
nucl-th hep-ph nucl-ex
the finite size effects and relativistic corrections in pionic and kaonic hydrogen are evaluated by generalizing the breit equation for a spin0 spin12 amplitude with the inclusion of the hadron electromagnetic form factors the agreement of the relativistic corrections to the energies of the mesonic atoms with other methods used to evaluate them is not exact but reasonably good the precision values of the energy shifts due to the strong interaction extracted from data are however subject to the hadronic form factor uncertainties
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708.0776
Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states
We study the co-evolution of network structure and node states in a model of multiple state interacting agents. The system displays two transitions, network recombination and fragmentation, governed by time scales that emerge from the dynamics. The recombination transition separates a frozen configuration, composed by disconnected network components whose agents share the same state, from an active configuration, with a fraction of links that are continuously being rewired. The nature of this transition is explained analytically as the maximum of a characteristic time. The fragmentation transition, that appears between two absorbing frozen phases, is an anomalous order-disorder transition, governed by a crossover between the time scales that control the structure and state dynamics.
physics.soc-ph physics.data-an
we study the coevolution of network structure and node states in a model of multiple state interacting agents the system displays two transitions network recombination and fragmentation governed by time scales that emerge from the dynamics the recombination transition separates a frozen configuration composed by disconnected network components whose agents share the same state from an active configuration with a fraction of links that are continuously being rewired the nature of this transition is explained analytically as the maximum of a characteristic time the fragmentation transition that appears between two absorbing frozen phases is an anomalous orderdisorder transition governed by a crossover between the time scales that control the structure and state dynamics
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708.0777
Microstrip resonator for microwaves with controllable polarization
In this work the authors implemented a resonator based upon microstrip cavities that permits the generation of microwaves with arbitrary polarization. Design, simulation, and implementation of the resonators were performed using standard printed circuit boards. The electric field distribution was mapped using a scanning probe cavity perturbation technique. Electron spin resonance using a standard marker was carried out in order to verify the polarization control from linear to circular.
cond-mat.other
in this work the authors implemented a resonator based upon microstrip cavities that permits the generation of microwaves with arbitrary polarization design simulation and implementation of the resonators were performed using standard printed circuit boards the electric field distribution was mapped using a scanning probe cavity perturbation technique electron spin resonance using a standard marker was carried out in order to verify the polarization control from linear to circular
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708.0778
Singular integral operators on variable Lebesgue spaces with radial oscillating weights
We prove a Fredholm criterion for operators in the Banach algebra of singular integral operators with matrix piecewise continuous coefficients acting on a variable Lebesgue space with a radial oscillating weight over a logarithmic Carleson curve. The local spectra of these operators are massive and have a shape of spiralic horns depending on the value of the variable exponent, the spirality indices of the curve, and the Matuszewska-Orlicz indices of the weight at each point. These results extend (partially) the results of A. B\"ottcher, Yu. Karlovich, and V. Rabinovich for standard Lebesgue spaces to the case of variable Lebesgue spaces.
math.FA math.CA
we prove a fredholm criterion for operators in the banach algebra of singular integral operators with matrix piecewise continuous coefficients acting on a variable lebesgue space with a radial oscillating weight over a logarithmic carleson curve the local spectra of these operators are massive and have a shape of spiralic horns depending on the value of the variable exponent the spirality indices of the curve and the matuszewskaorlicz indices of the weight at each point these results extend partially the results of a bottcher yu karlovich and v rabinovich for standard lebesgue spaces to the case of variable lebesgue spaces
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708.0779
Real-time gauge theory simulations from stochastic quantization with optimized updating
We investigate simulations for gauge theories on a Minkowskian space-time lattice. We employ stochastic quantization with optimized updating using stochastic reweighting or gauge fixing, respectively. These procedures do not affect the underlying theory but strongly improve the stability properties of the stochastic dynamics, such that simulations on larger real-time lattices can be performed.
hep-lat hep-ph hep-th nucl-th
we investigate simulations for gauge theories on a minkowskian spacetime lattice we employ stochastic quantization with optimized updating using stochastic reweighting or gauge fixing respectively these procedures do not affect the underlying theory but strongly improve the stability properties of the stochastic dynamics such that simulations on larger realtime lattices can be performed
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708.078
A weight function theory of zero order basis function interpolants and smoothers
I develop a weight func theory of zero order basis func interpolants and smoothers.**Ch1 Basis funcs and data spaces are defined using wt funcs. Data (native)spaces are used to formulate the variational problems which define our interpolants /smoothers. Introduce the tensor prod extended B-splines.**Ch2 Prove the p'twise convergence of the minimal norm basis func interpol to its data func and obtain orders of converg. Data func spaces for the B-splines are locally Sobolev spaces.**Ch3 Another set of error estims for basis func interpol. Use distrib'n Taylor expansion of exp(i(a,x)).**Ch4 Derive local interpol errors for data funcs with bounded first derivs.**Ch5 Introduce class of tensor prod wt funcs which I call the central diff wt funcs - related to the B-splines. Apply theory to these wt funcs to obtain interpol converge results. The data func spaces are locally Sobolev spaces. **Ch6 A non-param variat smoothing problem studied with special interest in converge of smoother to its data func. This smoother is the min norm interpol stabilized by a smoothing coeff.**Ch7: A non-parametric, scalable, smoothing problem shown to converge to its data func. We discuss the software which implements these algorithms.**Ch8: Characterizes bounded linear functionals on data space.**Ch9 Bilinear form used to characterize the bounded linear functionals on the data spaces generated by the wt funcs.**Ch10 We derive an upper bound for the deriv of the 1-dim (scaled) hat basis func smoother assuming the data func has bounded derivs and large supp wrt. the data region.**Ch11: In one dim only; the local data funcs are assumed to have bounded derivs on the data region and consider a scaled hat basis func. If the basis func has large enough supp wrt. the data region then we show the order of converg of the interpol is 1. **Ch12: Exten ops derived based on Wloka; assumes rectangle condit.
math.NA
i develop a weight func theory of zero order basis func interpolants and smoothersch1 basis funcs and data spaces are defined using wt funcs data nativespaces are used to formulate the variational problems which define our interpolants smoothers introduce the tensor prod extended bsplinesch2 prove the ptwise convergence of the minimal norm basis func interpol to its data func and obtain orders of converg data func spaces for the bsplines are locally sobolev spacesch3 another set of error estims for basis func interpol use distribn taylor expansion of expiaxch4 derive local interpol errors for data funcs with bounded first derivsch5 introduce class of tensor prod wt funcs which i call the central diff wt funcs related to the bsplines apply theory to these wt funcs to obtain interpol converge results the data func spaces are locally sobolev spaces ch6 a nonparam variat smoothing problem studied with special interest in converge of smoother to its data func this smoother is the min norm interpol stabilized by a smoothing coeffch7 a nonparametric scalable smoothing problem shown to converge to its data func we discuss the software which implements these algorithmsch8 characterizes bounded linear functionals on data spacech9 bilinear form used to characterize the bounded linear functionals on the data spaces generated by the wt funcsch10 we derive an upper bound for the deriv of the 1dim scaled hat basis func smoother assuming the data func has bounded derivs and large supp wrt the data regionch11 in one dim only the local data funcs are assumed to have bounded derivs on the data region and consider a scaled hat basis func if the basis func has large enough supp wrt the data region then we show the order of converg of the interpol is 1 ch12 exten ops derived based on wloka assumes rectangle condit
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708.0781
A new modified Galerkin method for the two-dimensional Navier-Stokes equations
We present a new type of modified Galerkin method. It is a construction with several (inductively defined) levels, that provides approximate solutions of increasing accuracy with every new level. These solutions are constructed as approximations of the so called induced trajectories (notion on which the definition of a class of approximate inertial manifolds used in the nonlinear and postprocessed Galerkin methods is based).
math.NA math.AP
we present a new type of modified galerkin method it is a construction with several inductively defined levels that provides approximate solutions of increasing accuracy with every new level these solutions are constructed as approximations of the so called induced trajectories notion on which the definition of a class of approximate inertial manifolds used in the nonlinear and postprocessed galerkin methods is based
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708.0782
Universal regularization prescription for Lovelock AdS gravity
A definite form for the boundary term that produces the finiteness of both the conserved quantities and Euclidean action for any Lovelock gravity with AdS asymptotics is presented. This prescription merely tells even from odd bulk dimensions, regardless the particular theory considered, what is valid even for Einstein-Hilbert and Einstein-Gauss-Bonnet AdS gravity. The boundary term is a given polynomial of the boundary extrinsic and intrinsic curvatures (also referred to as Kounterterms series). Only the coupling constant of the boundary term changes accordingly, such that it always preserves a well-posed variational principle for boundary conditions suitable for asymptotically AdS spaces. The background-independent conserved charges associated to asymptotic symmetries are found. In odd bulk dimensions, this regularization produces a generalized formula for the vacuum energy in Lovelock AdS gravity. The standard entropy for asymptotically AdS black holes is recovered directly from the regularization of the Euclidean action, and not only from the first law of thermodynamics associated to the conserved quantities.
hep-th gr-qc
a definite form for the boundary term that produces the finiteness of both the conserved quantities and euclidean action for any lovelock gravity with ads asymptotics is presented this prescription merely tells even from odd bulk dimensions regardless the particular theory considered what is valid even for einsteinhilbert and einsteingaussbonnet ads gravity the boundary term is a given polynomial of the boundary extrinsic and intrinsic curvatures also referred to as kounterterms series only the coupling constant of the boundary term changes accordingly such that it always preserves a wellposed variational principle for boundary conditions suitable for asymptotically ads spaces the backgroundindependent conserved charges associated to asymptotic symmetries are found in odd bulk dimensions this regularization produces a generalized formula for the vacuum energy in lovelock ads gravity the standard entropy for asymptotically ads black holes is recovered directly from the regularization of the euclidean action and not only from the first law of thermodynamics associated to the conserved quantities
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708.0783
The HMW effect in Noncommutative Quantum Mechanics
The HMW effect in non-commutative quantum mechanics is studied. By solving the Dirac equations on non-commutative (NC) space and non-commutative phase space, we obtain topological HMW phase on NC space and NC phase space respectively, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.
hep-th
the hmw effect in noncommutative quantum mechanics is studied by solving the dirac equations on noncommutative nc space and noncommutative phase space we obtain topological hmw phase on nc space and nc phase space respectively where the additional terms related to the spacespace and momentummomentum noncommutativity are given explicitly
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708.0784
Doppler-Free Spectroscopy of Weak Transitions: An Analytical Model Applied to Formaldehyde
Experimental observation of Doppler-free signals for weak transitions can be greatly facilitated by an estimate for their expected amplitudes. We derive an analytical model which allows the Doppler-free amplitude to be estimated for small Doppler-free signals. Application of this model to formaldehyde allows the amplitude of experimentally observed Doppler-free signals to be reproduced to within the experimental error.
physics.optics
experimental observation of dopplerfree signals for weak transitions can be greatly facilitated by an estimate for their expected amplitudes we derive an analytical model which allows the dopplerfree amplitude to be estimated for small dopplerfree signals application of this model to formaldehyde allows the amplitude of experimentally observed dopplerfree signals to be reproduced to within the experimental error
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708.0785
SuperWASP-North Extra-solar Planet Candidates between 3hr < RA < 6hr
The Wide Angle Search for Planets (WASP) photometrically surveys a large number of nearby stars to uncover candidate extrasolar planet systems by virtue of small-amplitude lightcurve dips on a < 5-day timescale typical of the ``Hot-Jupiters.'' Observations with the SuperWASP-North instrument between April and September 2004 produced a rich photometric dataset of some 1.3 billion datapoints from 6.7 million stars. Our custom-built data acquisition and processing system produces ~0.02 mag photometric precision at V=13. We present the transit-candidates in the 03h-06h RA range. Of 141,895 lightcurves with sufficient sampling to provide adequate coverage, 2688 show statistically significant transit-like periodicities. Of these, 44 pass visual inspection of the lightcurve, of which 24 are removed through a set of cuts on the statistical significance of artefacts. All but 4 of the remaining 20 objects are removed when prior information at higher spatial-resolution from existing catalogues is taken into account. Of the four candidates remaining, one is considered a good candidate for follow-up observations with three further second-priority targets. We provide detailed information on these candidates, as well as a selection of the false-positives and astrophysical false-alarms that were eliminated, and discuss briefly the impact of sampling on our results.
astro-ph
the wide angle search for planets wasp photometrically surveys a large number of nearby stars to uncover candidate extrasolar planet systems by virtue of smallamplitude lightcurve dips on a 5day timescale typical of the hotjupiters observations with the superwaspnorth instrument between april and september 2004 produced a rich photometric dataset of some 13 billion datapoints from 67 million stars our custombuilt data acquisition and processing system produces 002 mag photometric precision at v13 we present the transitcandidates in the 03h06h ra range of 141895 lightcurves with sufficient sampling to provide adequate coverage 2688 show statistically significant transitlike periodicities of these 44 pass visual inspection of the lightcurve of which 24 are removed through a set of cuts on the statistical significance of artefacts all but 4 of the remaining 20 objects are removed when prior information at higher spatialresolution from existing catalogues is taken into account of the four candidates remaining one is considered a good candidate for followup observations with three further secondpriority targets we provide detailed information on these candidates as well as a selection of the falsepositives and astrophysical falsealarms that were eliminated and discuss briefly the impact of sampling on our results
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708.0786
Four-body quantum dynamics of two-center electronic transitions in relativistic ion-atom collisions and target recoil momentum spectroscopy
We consider relativistic collisions of heavy hydrogen-like ions with hydrogen and helium atoms in which the ion-atom interaction causes both colliding particles to undergo transitions between their internal states. Using an approach enabling one, for the first time, to give a detailed description of this important case of the relativistic quantum few-body problem we concentrate on the study of the longitudinal momentum spectrum of the atomic recoil ions. We discuss the role of relativistic and higher order effects, predict a surprisingly strong influence of the projectile's electron on the momentum transfer, draw the general picture of the recoil ion formation and show that the important information about the doubly inelastic collisions could be obtained in experiment merely by measuring the recoil momentum spectrum.
physics.atom-ph
we consider relativistic collisions of heavy hydrogenlike ions with hydrogen and helium atoms in which the ionatom interaction causes both colliding particles to undergo transitions between their internal states using an approach enabling one for the first time to give a detailed description of this important case of the relativistic quantum fewbody problem we concentrate on the study of the longitudinal momentum spectrum of the atomic recoil ions we discuss the role of relativistic and higher order effects predict a surprisingly strong influence of the projectiles electron on the momentum transfer draw the general picture of the recoil ion formation and show that the important information about the doubly inelastic collisions could be obtained in experiment merely by measuring the recoil momentum spectrum
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708.0787
Constraints on dark and visible mass in galaxies from strong gravitational lensing
We give a non-exhaustive review of the use of strong gravitational lensing in placing constraints on the quantity of dark and visible mass in galaxies. We discuss development of the methodology and summarise some recent results.
astro-ph
we give a nonexhaustive review of the use of strong gravitational lensing in placing constraints on the quantity of dark and visible mass in galaxies we discuss development of the methodology and summarise some recent results
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708.0788
Unidirectional d-wave superconducting domains in the two-dimensional t-J model
Motivated by the recently observed pattern of unidirectional domains in high-T_c superconductors [Y. Kohsaka et al., Science 315, 1380 (2007)], we investigate the emergence of spontaneous modulations in the d-wave superconducting resonating valence bond phase using the t-J model at x=1/8 doping. Half-filled charge domains separated by four lattice spacings are found to form along one of the crystal axis leading to modulated superconductivity with out-of-phase d-wave order parameters in neighboring domains. Both renormalized mean-field theory and variational Monte Carlo calculations yield that the energies of modulated and uniform phases are very close to each other.
cond-mat.str-el
motivated by the recently observed pattern of unidirectional domains in hight_c superconductors y kohsaka et al science 315 1380 2007 we investigate the emergence of spontaneous modulations in the dwave superconducting resonating valence bond phase using the tj model at x18 doping halffilled charge domains separated by four lattice spacings are found to form along one of the crystal axis leading to modulated superconductivity with outofphase dwave order parameters in neighboring domains both renormalized meanfield theory and variational monte carlo calculations yield that the energies of modulated and uniform phases are very close to each other
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708.0789
Theory of point contact spectroscopy in electron-doped cuprates
In the hole-doped $d_{x^{2}-y^{2}}$-wave cuprate superconductor, due to the midgap surface state (MSS), a zero bias conductance peak (ZBCP) is widely observed in [110] interface point contact spectroscopy (PCS). However, ZBCP of this geometry is rarely observed in the electron-doped cuprates, even though their pairing symmetry is still likely the $d_{x^{2}-y^{2}}$-wave. We argue that this is due to the coexistence of antiferromagnetic (AF) and the superconducting (SC) orders. Generalizing the Blonder-Tinkham-Klapwijk (BTK) formula to include an AF coupling, it is shown explicitly that the MSS is destroyed by the AF order. The calculated PCS is in good agreement with the experiments.
cond-mat.supr-con cond-mat.str-el
in the holedoped d_x2y2wave cuprate superconductor due to the midgap surface state mss a zero bias conductance peak zbcp is widely observed in 110 interface point contact spectroscopy pcs however zbcp of this geometry is rarely observed in the electrondoped cuprates even though their pairing symmetry is still likely the d_x2y2wave we argue that this is due to the coexistence of antiferromagnetic af and the superconducting sc orders generalizing the blondertinkhamklapwijk btk formula to include an af coupling it is shown explicitly that the mss is destroyed by the af order the calculated pcs is in good agreement with the experiments
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708.079
Stellar Evolutionary Effects on the Abundances of PAH and SN-Condensed Dust in Galaxies
Spectral and photometric observations of nearby galaxies show a correlation between the strength of their mid-IR aromatic features, attributed to PAH molecules, and their metal abundance, leading to a deficiency of these features in low-metallicity galaxies. In this paper, we suggest that the observed correlation represents a trend of PAH abundance with galactic age, reflecting the delayed injection of carbon dust into the ISM by AGB stars in the final post-AGB phase of their evolution. AGB stars are the primary sources of PAHs and carbon dust in galaxies, and recycle their ejecta back to the interstellar medium only after a few hundred million years of evolution on the main sequence. In contrast, more massive stars that explode as Type II supernovae inject their metals and dust almost instantaneously after their formation. We first determined the PAH abundance in galaxies by constructing detailed models of UV-to-radio SED of galaxies that estimate the contribution of dust in PAH-free HII regions, and PAHs and dust from photodissociation regions, to the IR emission. All model components: the galaxies' stellar content, properties of their HII regions, and their ionizing and non-ionizing radiation fields and dust abundances, are constrained by their observed multiwavelength spectrum. After determining the PAH and dust abundances in 35 nearby galaxies using our SED model, we use a chemical evolution model to show that the delayed injection of carbon dust by AGB stars provides a natural explanation to the dependence of the PAH content in galaxies with metallicity. We also show that larger dust particles giving rise to the far-IR emission follow a distinct evolutionary trend closely related to the injection of dust by massive stars into the ISM.
astro-ph
spectral and photometric observations of nearby galaxies show a correlation between the strength of their midir aromatic features attributed to pah molecules and their metal abundance leading to a deficiency of these features in lowmetallicity galaxies in this paper we suggest that the observed correlation represents a trend of pah abundance with galactic age reflecting the delayed injection of carbon dust into the ism by agb stars in the final postagb phase of their evolution agb stars are the primary sources of pahs and carbon dust in galaxies and recycle their ejecta back to the interstellar medium only after a few hundred million years of evolution on the main sequence in contrast more massive stars that explode as type ii supernovae inject their metals and dust almost instantaneously after their formation we first determined the pah abundance in galaxies by constructing detailed models of uvtoradio sed of galaxies that estimate the contribution of dust in pahfree hii regions and pahs and dust from photodissociation regions to the ir emission all model components the galaxies stellar content properties of their hii regions and their ionizing and nonionizing radiation fields and dust abundances are constrained by their observed multiwavelength spectrum after determining the pah and dust abundances in 35 nearby galaxies using our sed model we use a chemical evolution model to show that the delayed injection of carbon dust by agb stars provides a natural explanation to the dependence of the pah content in galaxies with metallicity we also show that larger dust particles giving rise to the farir emission follow a distinct evolutionary trend closely related to the injection of dust by massive stars into the ism
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708.0791
An unexpected outburst from A0535+262
A0535+262 is a transient Be/X-ray binary system which was in a quiescent phase from 1994-2005. In this paper we report on the timing and spectral properties of the INTEGRAL detection of the source in October 2003. The source is detected for ~6000 seconds in the 18-100 keV energy band at a luminosity of ~3.8 x 10^{35} erg s^{-1}; this is compatible with the high end of the range of luminosities expected for quiescent emission. The system is observed to be outside of the centrifugal inhibition regime and pulsations are detected with periodicity, P=103.7 +/- 0.1 seconds. An examination of the pulse history of the source shows that it had been in a constant state of spin-down since it entered the quiescent phase in 1994. The rate of spin-down implies the consistent presence of an accretion disk supplying torques to the pulsar. The observations show that the system is still active and highly variable even in the absence of recent Type I or Type II X-ray outbursts.
astro-ph
a0535262 is a transient bexray binary system which was in a quiescent phase from 19942005 in this paper we report on the timing and spectral properties of the integral detection of the source in october 2003 the source is detected for 6000 seconds in the 18100 kev energy band at a luminosity of 38 x 1035 erg s1 this is compatible with the high end of the range of luminosities expected for quiescent emission the system is observed to be outside of the centrifugal inhibition regime and pulsations are detected with periodicity p1037 01 seconds an examination of the pulse history of the source shows that it had been in a constant state of spindown since it entered the quiescent phase in 1994 the rate of spindown implies the consistent presence of an accretion disk supplying torques to the pulsar the observations show that the system is still active and highly variable even in the absence of recent type i or type ii xray outbursts
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708.0792
The RHIC azimuth quadrupole: "perfect liquid" or gluonic radiation?
Large elliptic flow at RHIC seems to indicate that ideal hydrodynamics provides a good description of Au-Au collisions, at least at the maximum RHIC energy. The medium formed has been interpreted as a nearly perfect (low-viscosity) liquid, and connections have been made to gravitation through string theory. Recently, claimed observations of large flow fluctuations comparable to participant eccentricity fluctuations seem to confirm the ideal hydro scenario. However, determination of the azimuth quadrupole with 2D angular autocorrelations, which accurately distinguish ``flow'' (quadrupole) from ``nonflow'' (minijets), contradicts conventional interpretations. Centrality trends may depend only on the initial parton geometry, and methods used to isolate flow fluctuations are sensitive instead mainly to minijet correlations. The results presented in this paper suggest that the azimuth quadrupole may be a manifestation of gluonic multipole radiation.
hep-ph
large elliptic flow at rhic seems to indicate that ideal hydrodynamics provides a good description of auau collisions at least at the maximum rhic energy the medium formed has been interpreted as a nearly perfect lowviscosity liquid and connections have been made to gravitation through string theory recently claimed observations of large flow fluctuations comparable to participant eccentricity fluctuations seem to confirm the ideal hydro scenario however determination of the azimuth quadrupole with 2d angular autocorrelations which accurately distinguish flow quadrupole from nonflow minijets contradicts conventional interpretations centrality trends may depend only on the initial parton geometry and methods used to isolate flow fluctuations are sensitive instead mainly to minijet correlations the results presented in this paper suggest that the azimuth quadrupole may be a manifestation of gluonic multipole radiation
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708.0793
Gravitational Field of A Radiating Star in Higher Dimensions
We obtain fields of a relativistic radiating star of non-static mass in the framework of higher dimensional spacetime. Assuming energy-momentum tensor in Higher dimensions analogous to that considered by Vaidya in 4 dimensions we obtain solution of a radiating spherically symmetric star. The solution obtained here is new in higher dimensions which however reduces to that obtained by Vaidya in 4 dimensions. It is also different in form from that obtained by Iyer and Vishveshwara. The interesting observation is that the radius of a radiating star in higher dimensions oscillates. The radial size of radiating star oscillates with a period which depends on the modes of vibration and dimensions of the space-time.
astro-ph
we obtain fields of a relativistic radiating star of nonstatic mass in the framework of higher dimensional spacetime assuming energymomentum tensor in higher dimensions analogous to that considered by vaidya in 4 dimensions we obtain solution of a radiating spherically symmetric star the solution obtained here is new in higher dimensions which however reduces to that obtained by vaidya in 4 dimensions it is also different in form from that obtained by iyer and vishveshwara the interesting observation is that the radius of a radiating star in higher dimensions oscillates the radial size of radiating star oscillates with a period which depends on the modes of vibration and dimensions of the spacetime
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708.0794
Spin blockade and lifetime-enhanced transport in a few-electron Si/SiGe double quantum dot
Spin blockade occurs when an electron is unable to access an energetically favorable path through a quantum dot due to spin conservation, resulting in a blockade of the current through the dot. Spin blockade is the basis of a number of recent advances in spintronics, including the measurement and the manipulation of individual electron spins. We report measurements of the spin blockade regime in a silicon double quantum dot, revealing a complementary phenomenon: lifetime-enhanced transport. We argue that our observations arise because the decay times for electron spins in silicon are long, enabling the electron to maintain its spin throughout its transit across the quantum dot and access fast paths that exist in some spin channels but not in others. Such long spin lifetimes are important for applications such as quantum computation and, more generally, spintronics.
cond-mat.mes-hall
spin blockade occurs when an electron is unable to access an energetically favorable path through a quantum dot due to spin conservation resulting in a blockade of the current through the dot spin blockade is the basis of a number of recent advances in spintronics including the measurement and the manipulation of individual electron spins we report measurements of the spin blockade regime in a silicon double quantum dot revealing a complementary phenomenon lifetimeenhanced transport we argue that our observations arise because the decay times for electron spins in silicon are long enabling the electron to maintain its spin throughout its transit across the quantum dot and access fast paths that exist in some spin channels but not in others such long spin lifetimes are important for applications such as quantum computation and more generally spintronics
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708.0795
A weight function theory of positive order basis function interpolants and smoothers
In this document I develop a weight function theory of positive order basis function interpolants and smoothers. **In Chapter 1 the basis functions and data spaces are defined directly using weight functions. The data spaces are used to formulate the variational problems which define the interpolants and smoothers discussed in later chapters. The theory is illustrated using some standard examples of radial basis functions and two classes of weight functions I will call the tensor product extended B-splines and the central difference weight functions. **In Chapter 2 I derive modified inverse-Fourier transform formulas for the basis functions and the data functions (native spaces) and to use these formulas to obtain bounds for the rates of increase of these functions and their derivatives near infinity. **Chapter 3 shows how to prove functions are basis functions without using the awkward space of test functions $S_{0,n}$ which are infinitely smooth functions of rapid decrease with several zero-valued derivatives at the origin. Worked examples include several classes of well-known radial basis functions. **In Chapter 4 we prove the existence and uniqueness of a solution to the minimal seminorm interpolation problem. We then derive orders for the pointwise convergence of the interpolant to its data function as the density of the data increases. **In Chapter 5 a well-known non-parametric variational smoothing problem will be studied with special interest in the order of pointwise convergence of the smoother to its data function. This smoothing problem is the minimal norm interpolation problem stabilized by a smoothing coefficient. **In Chapter 6 a non-parametric, scalable, variational smoothing problem will be studied, with special interest in its order of pointwise convergence to its data function. **In Chapter 7 we study the bounded linear functionals on the data spaces.
math.NA
in this document i develop a weight function theory of positive order basis function interpolants and smoothers in chapter 1 the basis functions and data spaces are defined directly using weight functions the data spaces are used to formulate the variational problems which define the interpolants and smoothers discussed in later chapters the theory is illustrated using some standard examples of radial basis functions and two classes of weight functions i will call the tensor product extended bsplines and the central difference weight functions in chapter 2 i derive modified inversefourier transform formulas for the basis functions and the data functions native spaces and to use these formulas to obtain bounds for the rates of increase of these functions and their derivatives near infinity chapter 3 shows how to prove functions are basis functions without using the awkward space of test functions s_0n which are infinitely smooth functions of rapid decrease with several zerovalued derivatives at the origin worked examples include several classes of wellknown radial basis functions in chapter 4 we prove the existence and uniqueness of a solution to the minimal seminorm interpolation problem we then derive orders for the pointwise convergence of the interpolant to its data function as the density of the data increases in chapter 5 a wellknown nonparametric variational smoothing problem will be studied with special interest in the order of pointwise convergence of the smoother to its data function this smoothing problem is the minimal norm interpolation problem stabilized by a smoothing coefficient in chapter 6 a nonparametric scalable variational smoothing problem will be studied with special interest in its order of pointwise convergence to its data function in chapter 7 we study the bounded linear functionals on the data spaces
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708.0796
Summary of alphas determinations at ZEUS
The jet cross-section and structure-function measurements done with the ZEUS detector to extract the strong coupling constant and to test its energy-scale dependence are summarised. The values of alphas thus obtained and the HERA average are also presented.
hep-ex
the jet crosssection and structurefunction measurements done with the zeus detector to extract the strong coupling constant and to test its energyscale dependence are summarised the values of alphas thus obtained and the hera average are also presented
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708.0797
Near BPS Wilson Loop in beta-deformed Theories
We propose a definition of the Wilson loop operator in the N=1 beta-deformed supersymmetric Yang-Mills theory. Although the operator is not BPS, it has a finite expectation value at least up to order (g^2 N)^2. This does not happen generally for a generic non-BPS Wilson loop whose expectation value is UV divergent. For this reason we call this a near-BPS Wilson loop and conjecture that its exact expectation value is finite. We derive the general form of the boundary condition satisfied by the dual string worldsheet and find that it is deformed. Finiteness of the expectation value of the Wilson loop, together with some rather remarkable properties of the Lunin-Maldacena metric and the B-field, fixes the boundary condition to be one which is characterized by the vielbein of the deformed supergravity metric. The Wilson loop operators provide natural candidates as dual descriptions to some of the existing D-brane configurations in the Lunin-Maldacena background. We also construct the string dual configuration for a near-1/4 BPS circular Wilson loop operator. The string lies on a deformed three-sphere instead of a two-sphere as in the undeformed case. The expectation value of the Wilson loop operator is computed using the AdS/CFT correspondence and is found to be independent of the deformation. We conjecture that the exact expectation value of the Wilson loop is given by the same matrix model as in the undeformed case.
hep-th
we propose a definition of the wilson loop operator in the n1 betadeformed supersymmetric yangmills theory although the operator is not bps it has a finite expectation value at least up to order g2 n2 this does not happen generally for a generic nonbps wilson loop whose expectation value is uv divergent for this reason we call this a nearbps wilson loop and conjecture that its exact expectation value is finite we derive the general form of the boundary condition satisfied by the dual string worldsheet and find that it is deformed finiteness of the expectation value of the wilson loop together with some rather remarkable properties of the luninmaldacena metric and the bfield fixes the boundary condition to be one which is characterized by the vielbein of the deformed supergravity metric the wilson loop operators provide natural candidates as dual descriptions to some of the existing dbrane configurations in the luninmaldacena background we also construct the string dual configuration for a near14 bps circular wilson loop operator the string lies on a deformed threesphere instead of a twosphere as in the undeformed case the expectation value of the wilson loop operator is computed using the adscft correspondence and is found to be independent of the deformation we conjecture that the exact expectation value of the wilson loop is given by the same matrix model as in the undeformed case
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708.0798
Cluster Complexes via Semi-Invariants
We define and study virtual representation spaces having both positive and negative dimensions at the vertices of a quiver without oriented cycles. We consider the natural semi-invariants on these spaces which we call virtual semi-invariants and prove that they satisfy the three basic theorems: the First Fundamental Theorem, the Saturation Theorem and the Canonical Decomposition Theorem. In the special case of Dynkin quivers with n vertices this gives the fundamental interrelationship between supports of the semi-invariants and the Tilting Triangulation of the (n-1)-sphere.
math.RT math.RA
we define and study virtual representation spaces having both positive and negative dimensions at the vertices of a quiver without oriented cycles we consider the natural semiinvariants on these spaces which we call virtual semiinvariants and prove that they satisfy the three basic theorems the first fundamental theorem the saturation theorem and the canonical decomposition theorem in the special case of dynkin quivers with n vertices this gives the fundamental interrelationship between supports of the semiinvariants and the tilting triangulation of the n1sphere
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708.0799
Tests of mode coupling theory in a simple model for two-component miscible polymer blends
We present molecular dynamics simulations on the structural relaxation of a simple bead-spring model for polymer blends. The introduction of a different monomer size induces a large time scale separation for the dynamics of the two components. Simulation results for a large set of observables probing density correlations, Rouse modes, and orientations of bond and chain end-to-end vectors, are analyzed within the framework of the Mode Coupling Theory (MCT). An unusually large value of the exponent parameter is obtained. This feature suggests the possibility of an underlying higher-order MCT scenario for dynamic arrest.
cond-mat.soft
we present molecular dynamics simulations on the structural relaxation of a simple beadspring model for polymer blends the introduction of a different monomer size induces a large time scale separation for the dynamics of the two components simulation results for a large set of observables probing density correlations rouse modes and orientations of bond and chain endtoend vectors are analyzed within the framework of the mode coupling theory mct an unusually large value of the exponent parameter is obtained this feature suggests the possibility of an underlying higherorder mct scenario for dynamic arrest
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708.08
Elliptic flow in the Gaussian model of eccentricity fluctuations
We discuss a specific model of elliptic flow fluctuations due to Gaussian fluctuations in the initial spatial $x$ and $y$ eccentricity components $\left\{\mean{(\sigma_y^2-\sigma_x^2)/(\sigma_x^2+\sigma_y^2)}, \mean{2\sigma_{xy}/(\sigma_x^2+\sigma_y^2)} \right\}$. We find that in this model $\vfour$, elliptic flow determined from 4-particle cumulants, exactly equals the average flow value in the reaction plane coordinate system, $\mean{v_{RP}}$, the relation which, in an approximate form, was found earlier by Bhalerao and Ollitrault in a more general analysis, but under the same assumption that $v_2$ is proportional to the initial system eccentricity. We further show that in the Gaussian model all higher order cumulants are equal to $\vfour$. Analysis of the distribution in the magnitude of the flow vector, the $Q-$distribution, reveals that it is totally defined by two parameters, $\vtwo$, the flow from 2-particle cumulants, and $\vfour$, thus providing equivalent information compared to the method of cumulants. The flow obtained from the $Q-$distribution is again $\vfour=\mean{v_{RP}}$.
nucl-th
we discuss a specific model of elliptic flow fluctuations due to gaussian fluctuations in the initial spatial x and y eccentricity components leftmeansigma_y2sigma_x2sigma_x2sigma_y2 mean2sigma_xysigma_x2sigma_y2 right we find that in this model vfour elliptic flow determined from 4particle cumulants exactly equals the average flow value in the reaction plane coordinate system meanv_rp the relation which in an approximate form was found earlier by bhalerao and ollitrault in a more general analysis but under the same assumption that v_2 is proportional to the initial system eccentricity we further show that in the gaussian model all higher order cumulants are equal to vfour analysis of the distribution in the magnitude of the flow vector the qdistribution reveals that it is totally defined by two parameters vtwo the flow from 2particle cumulants and vfour thus providing equivalent information compared to the method of cumulants the flow obtained from the qdistribution is again vfourmeanv_rp
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708.0801
Rapid directional alignment of velocity and magnetic field in magnetohydrodynamic turbulence
We show that local directional alignment of the velocity and magnetic field fluctuations occurs rapidly in magnetohydrodynamics for a variety of parameters. This is observed both in direct numerical simulations and in solar wind data. The phenomenon is due to an alignment between the magnetic field and either pressure gradients or shear-associated kinetic energy gradients. A similar alignment, of velocity and vorticity, occurs in the Navier Stokes fluid case. This may be the most rapid and robust relaxation process in turbulent flows, and leads to a local weakening of the nonlinear terms in the small scale vorticity and current structures where alignment takes place.
astro-ph
we show that local directional alignment of the velocity and magnetic field fluctuations occurs rapidly in magnetohydrodynamics for a variety of parameters this is observed both in direct numerical simulations and in solar wind data the phenomenon is due to an alignment between the magnetic field and either pressure gradients or shearassociated kinetic energy gradients a similar alignment of velocity and vorticity occurs in the navier stokes fluid case this may be the most rapid and robust relaxation process in turbulent flows and leads to a local weakening of the nonlinear terms in the small scale vorticity and current structures where alignment takes place
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708.0802
From Percolation to Logarithmic Conformal Field Theory
The smallest deformation of the minimal model M(2,3) that can accommodate Cardy's derivation of the percolation crossing probability is presented. It is shown that this leads to a consistent logarithmic conformal field theory at c=0. A simple recipe for computing the associated fusion rules is given. The differences between this theory and the other recently proposed c=0 logarithmic conformal field theories are underlined. The discussion also emphasises the existence of invariant logarithmic couplings that generalise Gurarie's anomaly number.
hep-th math-ph math.MP
the smallest deformation of the minimal model m23 that can accommodate cardys derivation of the percolation crossing probability is presented it is shown that this leads to a consistent logarithmic conformal field theory at c0 a simple recipe for computing the associated fusion rules is given the differences between this theory and the other recently proposed c0 logarithmic conformal field theories are underlined the discussion also emphasises the existence of invariant logarithmic couplings that generalise guraries anomaly number
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708.0803
On the all-order epsilon-expansion of generalized hypergeometric functions with integer values of parameters
We continue our study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we apply the approach of obtaining iteratated solutions to the differential equations associated with hypergeometric functions to prove the following result (Theorem 1): The epsilon-expansion of a generalized hypergeometric function with integer values of parameters is expressible in terms of generalized polylogarithms with coefficients that are ratios of polynomials. The method used in this proof provides an efficient algorithm for calculatiing of the higher-order coefficients of Laurent expansion.
hep-th hep-ph math-ph math.CA math.MP
we continue our study of the construction of analytical coefficients of the epsilonexpansion of hypergeometric functions and their connection with feynman diagrams in this paper we apply the approach of obtaining iteratated solutions to the differential equations associated with hypergeometric functions to prove the following result theorem 1 the epsilonexpansion of a generalized hypergeometric function with integer values of parameters is expressible in terms of generalized polylogarithms with coefficients that are ratios of polynomials the method used in this proof provides an efficient algorithm for calculatiing of the higherorder coefficients of laurent expansion
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708.0804
Some pseudo-Anosov maps on punctured Riemann surfaces represented by multi-twists
This paper has been withdrawn by the author
math.GT math.CV
this paper has been withdrawn by the author
[['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author']]
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708.0805
Cooperative Beamforming for Wireless Ad Hoc Networks
Via collaborative beamforming, nodes in a wireless network are able to transmit a common message over long distances in an energy efficient fashion. However, the process of making available the same message to all collaborating nodes introduces delays. In this paper, a MAC-PHY cross-layer scheme is proposed that enables collaborative beamforming at significantly reduced collaboration overhead. It consists of two phases. In the first phase, nodes transmit locally in a random access time-slotted fashion. Simultaneous transmissions from multiple source nodes are viewed as linear mixtures of all transmitted packets. In the second phase, a set of collaborating nodes, acting as a distributed antenna system, beamform the received analog waveform to one or more faraway destinations. This step requires multiplication of the received analog waveform by a complex weight, which is independently computed by each cooperating node, and which allows packets bound to the same destination to add coherently at the destination node. Assuming that each node has access to location information, the proposed scheme can achieve high throughput, which in certain cases exceeds one. An analysis of the symbol error probability corresponding to the proposed scheme is provided.
cs.IT math.IT
via collaborative beamforming nodes in a wireless network are able to transmit a common message over long distances in an energy efficient fashion however the process of making available the same message to all collaborating nodes introduces delays in this paper a macphy crosslayer scheme is proposed that enables collaborative beamforming at significantly reduced collaboration overhead it consists of two phases in the first phase nodes transmit locally in a random access timeslotted fashion simultaneous transmissions from multiple source nodes are viewed as linear mixtures of all transmitted packets in the second phase a set of collaborating nodes acting as a distributed antenna system beamform the received analog waveform to one or more faraway destinations this step requires multiplication of the received analog waveform by a complex weight which is independently computed by each cooperating node and which allows packets bound to the same destination to add coherently at the destination node assuming that each node has access to location information the proposed scheme can achieve high throughput which in certain cases exceeds one an analysis of the symbol error probability corresponding to the proposed scheme is provided
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708.0806
Decomposition theorems and kernel theorems for a class of functional spaces
We prove new theorems about properties of generalized functions defined on Gelfand-Shilov spaces $S^\beta$ with $0\le\beta<1$. For each open cone $U\subset\mathbb R^d$ we define a space $S^\beta(U)$ which is related to $S^\beta(\mathbb R^d)$ and consists of entire analytic functions rapidly decreasing inside U and having order of growth $\le 1/(1-\beta)$ outside the cone. Such sheaves of spaces arise naturally in nonlocal quantum field theory, and this motivates our investigation. We prove that the spaces $S^\beta(U)$ are complete and nuclear and establish a decomposition theorem which implies that every continuous functional defined on $S^\beta(\mathbb R^d)$ has a unique minimal closed carrier cone in $\mathbb R^d$. We also prove kernel theorems for spaces over open and closed cones and elucidate the relation between the carrier cones of multilinear forms and those of the generalized functions determined by these forms.
math.FA math-ph math.MP
we prove new theorems about properties of generalized functions defined on gelfandshilov spaces sbeta with 0lebeta1 for each open cone usubsetmathbb rd we define a space sbetau which is related to sbetamathbb rd and consists of entire analytic functions rapidly decreasing inside u and having order of growth le 11beta outside the cone such sheaves of spaces arise naturally in nonlocal quantum field theory and this motivates our investigation we prove that the spaces sbetau are complete and nuclear and establish a decomposition theorem which implies that every continuous functional defined on sbetamathbb rd has a unique minimal closed carrier cone in mathbb rd we also prove kernel theorems for spaces over open and closed cones and elucidate the relation between the carrier cones of multilinear forms and those of the generalized functions determined by these forms
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708.0807
Dynamical magnetic susceptibility in the lamellar cobaltate superconductor Na_xCoO_2$\cdot y$H_2O
We systematically analyze the influence of the superconducting gap symmetry and the electronic structure on the dynamical spin susceptibility in superconducting Na_xCoO_2$\cdot y$H_2O within a three different models: the single a_{1g}-band model with nearest-neighbor hoppings, the realistic three-band t_{2g}-model with, and without e'_g pockets present at the Fermi surface. We show that the magnetic response in the normal state is dominated by the incommensurate antiferromagnetic spin density wave fluctuations at large momenta in agreement with experimental temperature dependence of the spin-lattice relaxation rate. Also, we demonstrate that the presence or the absence of the e'_g-pockets at the Fermi surface does not affect significantly this conclusion. In the superconducting state our results for d_{x^2-y^2}- or d_{xy}-wave symmetries of the superconducting order parameter are consistent with experimental data and exclude nodeless $d_{x^2-y^2} + id_{xy}$-wave symmetry. We further point out that the spin-resonance peak proposed earlier is improbable for the realistic band structure of Na_xCoO_2$\cdot y$H_2O. Moreover, even if present the resonance peak is confined to the antiferromagnetic wave vector and disappears away from it.
cond-mat.supr-con cond-mat.str-el
we systematically analyze the influence of the superconducting gap symmetry and the electronic structure on the dynamical spin susceptibility in superconducting na_xcoo_2cdot yh_2o within a three different models the single a_1gband model with nearestneighbor hoppings the realistic threeband t_2gmodel with and without e_g pockets present at the fermi surface we show that the magnetic response in the normal state is dominated by the incommensurate antiferromagnetic spin density wave fluctuations at large momenta in agreement with experimental temperature dependence of the spinlattice relaxation rate also we demonstrate that the presence or the absence of the e_gpockets at the fermi surface does not affect significantly this conclusion in the superconducting state our results for d_x2y2 or d_xywave symmetries of the superconducting order parameter are consistent with experimental data and exclude nodeless d_x2y2 id_xywave symmetry we further point out that the spinresonance peak proposed earlier is improbable for the realistic band structure of na_xcoo_2cdot yh_2o moreover even if present the resonance peak is confined to the antiferromagnetic wave vector and disappears away from it
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708.0808
Statistical comparison of ensemble implementations of Grover's search algorithm to classical sequential searches
We compare pseudopure state ensemble implementations, quantified by their initial polarization and ensemble size, of Grover's search algorithm to probabilistic classical sequential search algorithms in terms of their success and failure probabilities. We propose a criterion for quantifying the resources used by the ensemble implementation via the aggregate number of oracle invocations across the entire ensemble and use this as a basis for comparison with classical search algorithms. We determine bounds for a critical polarization such that the ensemble algorithm succeeds with a greater probability than the probabilistic classical sequential search. Our results indicate that the critical polarization scales as N^(-1/4) where N is the database size and that for typical room temperature solution state NMR, the polarization is such that the ensemble implementation of Grover's algorithm would be advantageous for N > 10^22
quant-ph
we compare pseudopure state ensemble implementations quantified by their initial polarization and ensemble size of grovers search algorithm to probabilistic classical sequential search algorithms in terms of their success and failure probabilities we propose a criterion for quantifying the resources used by the ensemble implementation via the aggregate number of oracle invocations across the entire ensemble and use this as a basis for comparison with classical search algorithms we determine bounds for a critical polarization such that the ensemble algorithm succeeds with a greater probability than the probabilistic classical sequential search our results indicate that the critical polarization scales as n14 where n is the database size and that for typical room temperature solution state nmr the polarization is such that the ensemble implementation of grovers algorithm would be advantageous for n 1022
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708.0809
Compositional Bernoulli numbers
We define and study the combinatorial properties of compositional Bernoulli numbers and polynomials within the framework of rational combinatorics.
math.CO
we define and study the combinatorial properties of compositional bernoulli numbers and polynomials within the framework of rational combinatorics
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708.081
All-optical formation of a Bose-Einstein condensate for applications in scanning electron microscopy
We report on the production of a F=1 spinor condensate of 87Rb atoms in a single beam optical dipole trap formed by a focused CO2 laser. The condensate is produced 13mm below the tip of a scanning electron microscope employing standard all-optical techniques. The condensate fraction contains up to 100,000 atoms and we achieve a duty cycle of less than 10s.
cond-mat.stat-mech
we report on the production of a f1 spinor condensate of 87rb atoms in a single beam optical dipole trap formed by a focused co2 laser the condensate is produced 13mm below the tip of a scanning electron microscope employing standard alloptical techniques the condensate fraction contains up to 100000 atoms and we achieve a duty cycle of less than 10s
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708.0811
Star product algebras of test functions
We prove that the Gelfand-Shilov spaces $S^\beta_\alpha$ are topological algebras under the Moyal star product if and only if $\alpha\ge\beta$. These spaces of test functions can be used in quantum field theory on noncommutative spacetime. The star product depends on the noncommutativity parameter continuously in their topology. We also prove that the series expansion of the Moyal product converges absolutely in $S^\beta_\alpha$ if and only if $\beta<1/2$.
math-ph hep-th math.MP math.QA
we prove that the gelfandshilov spaces sbeta_alpha are topological algebras under the moyal star product if and only if alphagebeta these spaces of test functions can be used in quantum field theory on noncommutative spacetime the star product depends on the noncommutativity parameter continuously in their topology we also prove that the series expansion of the moyal product converges absolutely in sbeta_alpha if and only if beta12
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708.0812
Quark-Gluon Plasmas and Thermalization
In these lectures, I will attempt a pedagogical and qualitative introduction to the theory of equilibrium and thermalization of quark-gluon plasmas. I assume only that the reader is familiar with quantum field theory at zero temperature and with QCD as the theory of the strong interactions. I focus on the limit of small alpha_s, which in principle should be relevant at extremely high temperature because of asymptotic freedom, and in any case provides a clean theoretical context in which to discuss a variety of phenomena. Topics discussed include the basic equilibrium formalism for finite-temperature quantum field theory, Debye screening, electric deconfinement, magnetic confinement, dimensional reduction, plasma waves, kinetic theory, hydrodynamic properties such as viscosity, the Landau-Pomeranchuk-Migdal effect, thermalization in (arbitrarily high energy) heavy ion collisions, and QCD plasma instabilities.
hep-ph nucl-th
in these lectures i will attempt a pedagogical and qualitative introduction to the theory of equilibrium and thermalization of quarkgluon plasmas i assume only that the reader is familiar with quantum field theory at zero temperature and with qcd as the theory of the strong interactions i focus on the limit of small alpha_s which in principle should be relevant at extremely high temperature because of asymptotic freedom and in any case provides a clean theoretical context in which to discuss a variety of phenomena topics discussed include the basic equilibrium formalism for finitetemperature quantum field theory debye screening electric deconfinement magnetic confinement dimensional reduction plasma waves kinetic theory hydrodynamic properties such as viscosity the landaupomeranchukmigdal effect thermalization in arbitrarily high energy heavy ion collisions and qcd plasma instabilities
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708.0813
Experimental test of nonlocal realistic theories without the rotational symmetry assumption
We analyze the class of nonlocal realistic theories that was originally considered by Leggett [Found. Phys. 33, 1469 (2003)] and tested by us in a recent experiment [Nature (London) 446, 871 (2007)]. We derive an incompatibility theorem that works for finite numbers of polarizer settings and that does not require the previously assumed rotational symmetry of the two-particle correlation functions. The experimentally measured case involves seven different measurement settings. Using polarization-entangled photon pairs, we exclude this broader class of nonlocal realistic models by experimentally violating a new Leggett-type inequality by 80 standard deviations.
quant-ph
we analyze the class of nonlocal realistic theories that was originally considered by leggett found phys 33 1469 2003 and tested by us in a recent experiment nature london 446 871 2007 we derive an incompatibility theorem that works for finite numbers of polarizer settings and that does not require the previously assumed rotational symmetry of the twoparticle correlation functions the experimentally measured case involves seven different measurement settings using polarizationentangled photon pairs we exclude this broader class of nonlocal realistic models by experimentally violating a new leggetttype inequality by 80 standard deviations
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708.0814
The Young Cluster Population of M82 Region B
We present observations obtained with the Advanced Camera for Surveys on board the Hubble Space Telescope of the "fossil" starburst region B in the nearby starburst galaxy M82. By comparing UBVI photometry with models, we derive ages and extinctions for 35 U-band selected star clusters. We find that the peak epoch of cluster formation occurred ~ 150 Myr ago, in contrast to earlier work that found a peak formation age of 1.1 Gyr. The difference is most likely due to our inclusion of U-band data, which are essential for accurate age determinations of young cluster populations. We further show that the previously reported turnover in the cluster luminosity function is probably due to the neglect of the effect of extended sources on the detection limit. The much younger cluster ages we derive clarifies the evolution of the M82 starburst. The M82-B age distribution now overlaps with the ages of: the nuclear starburst; clusters formed on the opposite side of the disk; and the last encounter with M81, some 220 Myr ago.
astro-ph
we present observations obtained with the advanced camera for surveys on board the hubble space telescope of the fossil starburst region b in the nearby starburst galaxy m82 by comparing ubvi photometry with models we derive ages and extinctions for 35 uband selected star clusters we find that the peak epoch of cluster formation occurred 150 myr ago in contrast to earlier work that found a peak formation age of 11 gyr the difference is most likely due to our inclusion of uband data which are essential for accurate age determinations of young cluster populations we further show that the previously reported turnover in the cluster luminosity function is probably due to the neglect of the effect of extended sources on the detection limit the much younger cluster ages we derive clarifies the evolution of the m82 starburst the m82b age distribution now overlaps with the ages of the nuclear starburst clusters formed on the opposite side of the disk and the last encounter with m81 some 220 myr ago
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708.0815
Scaling Relations from Sunyaev-Zel'dovich Effect and Chandra X-ray measurements of high-redshift galaxy clusters
We present Sunyaev-Zel'dovich Effect (SZE) scaling relations for 38 massive galaxy clusters at redshifts 0.14<z0.89, observed with both the Cchandra X-ray Observatory and the centimeter-wave SZE imaging system at the BIMA and OVRO interferometric arrays. An isothermal beta-model with central 100 kpc excluded from the X-ray data is used to model the intracluster medium and to measure global cluster properties. For each cluster, we measure the X-ray spectroscopic temperature, SZE gas mass, total mass and integrated Compton-y parameters within r_2500. Our measurements are in agreement with the expectations based on a simple self-similar model of cluster formation and evolution. We compare the cluster properties derived from our SZE observations with and without Chandra spatial and spectral information and find them to be in good agreement. We compare our results with cosmological numerical simulations, and find that simulations that include radiative cooling, star formation and feedback match well both the slope and normalization of our SZE scaling relations.
astro-ph
we present sunyaevzeldovich effect sze scaling relations for 38 massive galaxy clusters at redshifts 014z089 observed with both the cchandra xray observatory and the centimeterwave sze imaging system at the bima and ovro interferometric arrays an isothermal betamodel with central 100 kpc excluded from the xray data is used to model the intracluster medium and to measure global cluster properties for each cluster we measure the xray spectroscopic temperature sze gas mass total mass and integrated comptony parameters within r_2500 our measurements are in agreement with the expectations based on a simple selfsimilar model of cluster formation and evolution we compare the cluster properties derived from our sze observations with and without chandra spatial and spectral information and find them to be in good agreement we compare our results with cosmological numerical simulations and find that simulations that include radiative cooling star formation and feedback match well both the slope and normalization of our sze scaling relations
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708.0816
Parton energy loss in an expanding quark-gluon plasma: Radiative vs collisional
We perform a comparison of the radiative and collisional parton energy losses in an expanding quark-gluon plasma. The radiative energy loss is calculated within the light-cone path integral approach. The collisional energy loss is calculated using the Bjorken method with an accurate treatment of the binary collision kinematics. Our numerical results demonstrate that for RHIC and LHC conditions the collisional energy loss is relatively small in comparison to the radiative one. We find an enhancement of the heavy quark radiative energy loss as compared to that of the light quarks at high energies.
hep-ph
we perform a comparison of the radiative and collisional parton energy losses in an expanding quarkgluon plasma the radiative energy loss is calculated within the lightcone path integral approach the collisional energy loss is calculated using the bjorken method with an accurate treatment of the binary collision kinematics our numerical results demonstrate that for rhic and lhc conditions the collisional energy loss is relatively small in comparison to the radiative one we find an enhancement of the heavy quark radiative energy loss as compared to that of the light quarks at high energies
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708.0817
Values at s=-1 of L-functions for multi-quadratic extensions of number fields, and the fitting ideal of the tame kernel
Fix a Galois extension E/F of totally real number fields such that the Galois group G has exponent 2. Let S be a finite set of primes of F containing the infinite primes and all those which ramify in E, let S_E denote the primes of E lying above those in S, and let O_E^S denote the ring of S_E-integers of E. We then compare the Fitting ideal of K_2(O_E^S) as a Z[G]-module with a higher Stickelberger ideal. The two extend to the same ideal in the maximal order of Q[G], and hence in Z[1/2][G]. Results in Z[G] are obtained under the assumption of the Birch-Tate conjecture, especially for biquadratic extensions, where we compute the index of the higher Stickelberger ideal. We find a sufficient condition for the Fitting ideal to contain the higher Stickelberger ideal in the case where E is a biquadratic extension of F containing the first layer of the cyclotomic Z_2-extension of F, and describe a class of biquadratic extensions of F=Q that satisfy this condition.
math.NT math.KT
fix a galois extension ef of totally real number fields such that the galois group g has exponent 2 let s be a finite set of primes of f containing the infinite primes and all those which ramify in e let s_e denote the primes of e lying above those in s and let o_es denote the ring of s_eintegers of e we then compare the fitting ideal of k_2o_es as a zgmodule with a higher stickelberger ideal the two extend to the same ideal in the maximal order of qg and hence in z12g results in zg are obtained under the assumption of the birchtate conjecture especially for biquadratic extensions where we compute the index of the higher stickelberger ideal we find a sufficient condition for the fitting ideal to contain the higher stickelberger ideal in the case where e is a biquadratic extension of f containing the first layer of the cyclotomic z_2extension of f and describe a class of biquadratic extensions of fq that satisfy this condition
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708.0818
Dressing the Giant Gluon
We demonstrate the applicability of the dressing method to the problem of constructing new classical solutions for Euclidean worldsheets in anti-de Sitter space. The motivation stems from recent work of Alday and Maldacena, who studied gluon scattering amplitudes at strong coupling using a generalization of a particular worldsheet found by Kruczenski whose edge traces a path composed of light-light segments on the boundary of AdS. We dress this `giant gluon' to find new solutions in AdS_3 and AdS_5 whose edges trace out more complicated, timelike curves on the boundary. These solutions may be used to calculate certain Wilson loops via AdS/CFT.
hep-th
we demonstrate the applicability of the dressing method to the problem of constructing new classical solutions for euclidean worldsheets in antide sitter space the motivation stems from recent work of alday and maldacena who studied gluon scattering amplitudes at strong coupling using a generalization of a particular worldsheet found by kruczenski whose edge traces a path composed of lightlight segments on the boundary of ads we dress this giant gluon to find new solutions in ads_3 and ads_5 whose edges trace out more complicated timelike curves on the boundary these solutions may be used to calculate certain wilson loops via adscft
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708.0819
Shot Noise in SU(N) Quantum Dot Kondo Effects
We study shot noise in the current of quantum dots whose low-energy behaviour corresponds to an SU(N) Kondo model, focusing on the case N=4 relevant to carbon nanotube dots. For general N, two-particle Fermi liquid interactions have two distinct effects: they can enhance the noise via back-scattering processes with an N-dependent effective charge, and can also modify the coherent partition noise already present without interactions. For N=4, in contrast to the SU(2) case, interactions enhance shot noise solely through an enhancement of partition noise. This leads to a non-trivial prediction for experiment.
cond-mat.mes-hall
we study shot noise in the current of quantum dots whose lowenergy behaviour corresponds to an sun kondo model focusing on the case n4 relevant to carbon nanotube dots for general n twoparticle fermi liquid interactions have two distinct effects they can enhance the noise via backscattering processes with an ndependent effective charge and can also modify the coherent partition noise already present without interactions for n4 in contrast to the su2 case interactions enhance shot noise solely through an enhancement of partition noise this leads to a nontrivial prediction for experiment
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708.082
Multiple Sources toward the High-mass Young Star S140 IRS1
S140 IRS1 is a remarkable source where the radio source at the center of the main bipolar molecular outflow in the region is elongated perpendicular to the axis of the outflow, an orientation opposite to that expected if the radio source is a thermal jet exciting the outflow. We present results of 1.3 cm continuum and H2O maser emission observations made with the VLA in its A configuration toward this region. In addition, we also present results of continuum observations at 7 mm and re-analyse observations at 2, 3.5 and 6 cm (previously published). IRS 1A is detected at all wavelengths, showing an elongated structure. Three water maser spots are detected along the major axis of the radio source IRS 1A. We have also detected a new continuum source at 3.5 cm (IRS 1C) located ~0.6'' northeast of IRS 1A. The presence of these two YSOs (IRS 1A and 1C) could explain the existence of the two bipolar molecular outflows observed in the region. In addition, we have also detected three continuum clumps (IRS 1B, 1D and 1E) located along the major axis of IRS 1A. We discuss two possible models to explain the nature of IRS 1A: a thermal jet and an equatorial wind.
astro-ph
s140 irs1 is a remarkable source where the radio source at the center of the main bipolar molecular outflow in the region is elongated perpendicular to the axis of the outflow an orientation opposite to that expected if the radio source is a thermal jet exciting the outflow we present results of 13 cm continuum and h2o maser emission observations made with the vla in its a configuration toward this region in addition we also present results of continuum observations at 7 mm and reanalyse observations at 2 35 and 6 cm previously published irs 1a is detected at all wavelengths showing an elongated structure three water maser spots are detected along the major axis of the radio source irs 1a we have also detected a new continuum source at 35 cm irs 1c located 06 northeast of irs 1a the presence of these two ysos irs 1a and 1c could explain the existence of the two bipolar molecular outflows observed in the region in addition we have also detected three continuum clumps irs 1b 1d and 1e located along the major axis of irs 1a we discuss two possible models to explain the nature of irs 1a a thermal jet and an equatorial wind
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708.0821
A massive cluster of Red Supergiants at the base of the Scutum-Crux arm
We report on the unprecedented Red Supergiant (RSG) population of a massive young cluster, located at the base of the Scutum-Crux Galactic arm. We identify candidate cluster RSGs based on {\it 2MASS} photometry and medium resolution spectroscopy. With follow-up high-resolution spectroscopy, we use CO-bandhead equivalent width and high-precision radial velocity measurements to identify a core grouping of 26 physically-associated RSGs -- the largest such cluster known to-date. Using the stars' velocity dispersion, and their inferred luminosities in conjuction with evolutionary models, we argue that the cluster has an initial mass of $\sim$40,000\msun, and is therefore among the most massive in the galaxy. Further, the cluster is only a few hundred parsecs away from the cluster of 14 RSGs recently reported by Figer et al (2006). These two RSG clusters represent 20% of all known RSGs in the Galaxy, and now offer the unique opportunity to study the pre-supernova evolution of massive stars, and the Blue- to Red-Supergiant ratio at uniform metallicity. We use GLIMPSE, MIPSGAL and MAGPIS survey data to identify several objects in the field of the larger cluster which seem to be indicative of recent region-wide starburst activity at the point where the Scutum-Crux arm intercepts the Galactic bulge. Future abundance studies of these clusters will therefore permit the study of the chemical evolution and metallicity gradient of the Galaxy in the region where the disk meets the bulge.
astro-ph
we report on the unprecedented red supergiant rsg population of a massive young cluster located at the base of the scutumcrux galactic arm we identify candidate cluster rsgs based on it 2mass photometry and medium resolution spectroscopy with followup highresolution spectroscopy we use cobandhead equivalent width and highprecision radial velocity measurements to identify a core grouping of 26 physicallyassociated rsgs the largest such cluster known todate using the stars velocity dispersion and their inferred luminosities in conjuction with evolutionary models we argue that the cluster has an initial mass of sim40000msun and is therefore among the most massive in the galaxy further the cluster is only a few hundred parsecs away from the cluster of 14 rsgs recently reported by figer et al 2006 these two rsg clusters represent 20 of all known rsgs in the galaxy and now offer the unique opportunity to study the presupernova evolution of massive stars and the blue to redsupergiant ratio at uniform metallicity we use glimpse mipsgal and magpis survey data to identify several objects in the field of the larger cluster which seem to be indicative of recent regionwide starburst activity at the point where the scutumcrux arm intercepts the galactic bulge future abundance studies of these clusters will therefore permit the study of the chemical evolution and metallicity gradient of the galaxy in the region where the disk meets the bulge
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708.0822
Thermal Emission from Transiting Very-Hot Jupiters: Prospects for Ground-based Detection at Optical Wavelengths
Very hot Jupiters (VHJs) are defined as Jupiter-mass extrasolar planets with orbital periods shorter than three days. For low albedos the effective temperatures of irradiated VHJs can reach 2500-3000 K. Thermal emission from VHJs is therefore potentially strong at optical wavelengths. We explore the prospects of detecting optical-wavelength thermal emission during secondary eclipse with existing ground-based telescopes. We show that OGLE-TR-56b and OGLE-TR-132b are the best suited candidates for detection, and that the prospects are highest around z'-band (~0.9 microns). We also speculate that any newly discovered VHJs with the right combination of orbital separation and host star parameters could be thermally detected in the optical. The lack of detections would still provide constraints on the planetary albedos and re-radiation factors.
astro-ph
very hot jupiters vhjs are defined as jupitermass extrasolar planets with orbital periods shorter than three days for low albedos the effective temperatures of irradiated vhjs can reach 25003000 k thermal emission from vhjs is therefore potentially strong at optical wavelengths we explore the prospects of detecting opticalwavelength thermal emission during secondary eclipse with existing groundbased telescopes we show that ogletr56b and ogletr132b are the best suited candidates for detection and that the prospects are highest around zband 09 microns we also speculate that any newly discovered vhjs with the right combination of orbital separation and host star parameters could be thermally detected in the optical the lack of detections would still provide constraints on the planetary albedos and reradiation factors
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708.0823
Toward metastable string vacua from magnetized branes
The scalar potential of recombination fields of magnetized branes in Type IIB orientifold compactifications is analyzed in the absence of any closed string fluxes. Considering its perturbative F and D-term contributions in a quadratic approximation, we present the conditions for which its minima are supersymmetric. We show that for reasonable conditions on the spectrum, both metric moduli and recombination fields can be stabilized. We then provide explicit examples of compact manifolds where a Minkowski vacuum is realized in a Higgs phase. The vacuum energy is zero and some charged scalars acquire a vev. We then address the question of supersymmetry breaking. The scalar potential for recombination fields is analyzed when supersymmetry is broken by F and D-term. We show that locally stable vacua can exist at the classical level. These are formed by a hidden supersymmetric sector that fixes metric moduli and recombination fields and a visible sector where supersymmetry is spontaneously broken.
hep-th
the scalar potential of recombination fields of magnetized branes in type iib orientifold compactifications is analyzed in the absence of any closed string fluxes considering its perturbative f and dterm contributions in a quadratic approximation we present the conditions for which its minima are supersymmetric we show that for reasonable conditions on the spectrum both metric moduli and recombination fields can be stabilized we then provide explicit examples of compact manifolds where a minkowski vacuum is realized in a higgs phase the vacuum energy is zero and some charged scalars acquire a vev we then address the question of supersymmetry breaking the scalar potential for recombination fields is analyzed when supersymmetry is broken by f and dterm we show that locally stable vacua can exist at the classical level these are formed by a hidden supersymmetric sector that fixes metric moduli and recombination fields and a visible sector where supersymmetry is spontaneously broken
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708.0824
Existence of quasi-arcs
We show that doubling, linearly connected metric spaces are quasi-arc connected. This gives a new and short proof of a theorem of Tukia.
math.MG math.CA
we show that doubling linearly connected metric spaces are quasiarc connected this gives a new and short proof of a theorem of tukia
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708.0825
The Sloan Digital Sky Survey Quasar Lens Search. III. Constraints on Dark Energy from the Third Data Release Quasar Lens Catalog
We present cosmological results from the statistics of lensed quasars in the Sloan Digital Sky Survey (SDSS) Quasar Lens Search. By taking proper account of the selection function, we compute the expected number of quasars lensed by early-type galaxies and their image separation distribution assuming a flat universe, which is then compared with 7 lenses found in the SDSS Data Release 3 to derive constraints on dark energy under strictly controlled criteria. For a cosmological constant model (w=-1) we obtain \Omega_\Lambda=0.74^{+0.11}_{-0.15}(stat.)^{+0.13}_{-0.06}(syst.). Allowing w to be a free parameter we find \Omega_M=0.26^{+0.07}_{-0.06}(stat.)^{+0.03}_{-0.05}(syst.) and w=-1.1\pm0.6(stat.)^{+0.3}_{-0.5}(syst.) when combined with the constraint from the measurement of baryon acoustic oscillations in the SDSS luminous red galaxy sample. Our results are in good agreement with earlier lensing constraints obtained using radio lenses, and provide additional confirmation of the presence of dark energy consistent with a cosmological constant, derived independently of type Ia supernovae.
astro-ph
we present cosmological results from the statistics of lensed quasars in the sloan digital sky survey sdss quasar lens search by taking proper account of the selection function we compute the expected number of quasars lensed by earlytype galaxies and their image separation distribution assuming a flat universe which is then compared with 7 lenses found in the sdss data release 3 to derive constraints on dark energy under strictly controlled criteria for a cosmological constant model w1 we obtain omega_lambda074011_015stat013_006syst allowing w to be a free parameter we find omega_m026007_006stat003_005syst and w11pm06stat03_05syst when combined with the constraint from the measurement of baryon acoustic oscillations in the sdss luminous red galaxy sample our results are in good agreement with earlier lensing constraints obtained using radio lenses and provide additional confirmation of the presence of dark energy consistent with a cosmological constant derived independently of type ia supernovae
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708.0826
Stellar populations across the NGC4244 truncated galactic disk
We use HST/ACS to study the resolved stellar populations of the nearby, nearly edge-on galaxy NGC4244 across its outer disk surface density break. The stellar photometry allows us to study the distribution of different stellar populations and reach very low equivalent surface brightnesses. We find that the break occurs at the same radius for young, intermediate age, and old stars. The stellar density beyond the break drops sharply by a factor of at least 600 in 5 kpc. The break occurs at the same radius independent of height above the disk, but is sharpest in the midplane and nearly disappears at large heights. These results make it unlikely that truncations are caused by a star formation threshold alone: the threshold would have to keep the same radial position from less than 100 Myr to 10 Gyr ago, in spite of potential disturbances such as infall and redistribution of gas by internal processes. A dynamical interpretation of truncation formation is more likely such as due to angular momentum redistribution by bars or density waves, or heating and stripping of stars caused by the bombardment of dark matter sub-halos. The latter explanation is also in quantitative agreement with the small diffuse component we see around the galaxy.
astro-ph
we use hstacs to study the resolved stellar populations of the nearby nearly edgeon galaxy ngc4244 across its outer disk surface density break the stellar photometry allows us to study the distribution of different stellar populations and reach very low equivalent surface brightnesses we find that the break occurs at the same radius for young intermediate age and old stars the stellar density beyond the break drops sharply by a factor of at least 600 in 5 kpc the break occurs at the same radius independent of height above the disk but is sharpest in the midplane and nearly disappears at large heights these results make it unlikely that truncations are caused by a star formation threshold alone the threshold would have to keep the same radial position from less than 100 myr to 10 gyr ago in spite of potential disturbances such as infall and redistribution of gas by internal processes a dynamical interpretation of truncation formation is more likely such as due to angular momentum redistribution by bars or density waves or heating and stripping of stars caused by the bombardment of dark matter subhalos the latter explanation is also in quantitative agreement with the small diffuse component we see around the galaxy
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708.0827
Simulating Quantum Correlations with Finite Communication
Assume Alice and Bob share some bipartite $d$-dimensional quantum state. A well-known result in quantum mechanics says that by performing two-outcome measurements, Alice and Bob can produce correlations that cannot be obtained locally, i.e., with shared randomness alone. We show that by using only two bits of communication, Alice and Bob can classically simulate any such correlations. All previous protocols for exact simulation required the communication to grow to infinity with the dimension $d$. Our protocol and analysis are based on a power series method, resembling Krivine's bound on Grothendieck's constant, and on the computation of volumes of spherical tetrahedra.
quant-ph
assume alice and bob share some bipartite ddimensional quantum state a wellknown result in quantum mechanics says that by performing twooutcome measurements alice and bob can produce correlations that cannot be obtained locally ie with shared randomness alone we show that by using only two bits of communication alice and bob can classically simulate any such correlations all previous protocols for exact simulation required the communication to grow to infinity with the dimension d our protocol and analysis are based on a power series method resembling krivines bound on grothendiecks constant and on the computation of volumes of spherical tetrahedra
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708.0828
The Sloan Digital Sky Survey Quasar Lens Search. II. Statistical Lens Sample from the Third Data Release
We report the first results of our systematic search for strongly lensed quasars using the spectroscopically confirmed quasars in the Sloan Digital Sky Survey (SDSS). Among 46,420 quasars from the SDSS Data Release 3 (~4188 deg^2), we select a subsample of 22,683 quasars that are located at redshifts between 0.6 and 2.2 and are brighter than the Galactic extinction corrected i-band magnitude of 19.1. We identify 220 lens candidates from the quasar subsample, for which we conduct extensive and systematic follow-up observations in optical and near-infrared wavebands, in order to construct a complete lensed quasar sample at image separations between 1'' and 20'' and flux ratios of faint to bright lensed images larger than 10^{-0.5}. We construct a statistical sample of 11 lensed quasars. Ten of these are galaxy-scale lenses with small image separations (~1''-2'') and one is a large separation (15'') system which is produced by a massive cluster of galaxies, representing the first statistical sample of lensed quasars including both galaxy- and cluster-scale lenses. The Data Release 3 spectroscopic quasars contain an additional 11 lensed quasars outside the statistical sample.
astro-ph
we report the first results of our systematic search for strongly lensed quasars using the spectroscopically confirmed quasars in the sloan digital sky survey sdss among 46420 quasars from the sdss data release 3 4188 deg2 we select a subsample of 22683 quasars that are located at redshifts between 06 and 22 and are brighter than the galactic extinction corrected iband magnitude of 191 we identify 220 lens candidates from the quasar subsample for which we conduct extensive and systematic followup observations in optical and nearinfrared wavebands in order to construct a complete lensed quasar sample at image separations between 1 and 20 and flux ratios of faint to bright lensed images larger than 1005 we construct a statistical sample of 11 lensed quasars ten of these are galaxyscale lenses with small image separations 12 and one is a large separation 15 system which is produced by a massive cluster of galaxies representing the first statistical sample of lensed quasars including both galaxy and clusterscale lenses the data release 3 spectroscopic quasars contain an additional 11 lensed quasars outside the statistical sample
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708.0829
Discovery of 442-Hz Pulsations from an X-ray Source in the Globular Cluster NGC 6440
We report on the serendipitous discovery of a 442-Hz pulsar during a Rossi X-ray Timing Explorer (RXTE) observation of the globular cluster NGC 6440. The oscillation is detected following a burst-like event which was decaying at the beginning of the observation. The time scale of the decay suggests we may have seen the tail-end of a long-duration burst. Low-mass X-ray binaries (LMXBs) are known to emit thermonuclear X-ray bursts that are sometimes modulated by the spin frequency of the star, the so called burst oscillations. The pulsations reported here are peculiar if interpreted as canonical burst oscillations. In particular, the pulse train lasted for ~500 s, much longer than in standard burst oscillations. The signal was highly coherent and drifted down by ~2x10^-3 Hz, much smaller than the ~Hz drifts typically observed during normal bursts. The pulsations are reminiscent of those observed during the much more energetic ``superbursts'', however, the temporal profile and the energetics of the burst suggest that it was not the tail end nor the precursor feature of a superburst. It is possible that we caught the tail end of an outburst from a new `intermittent'' accreting X-ray millisecond pulsar, a phenomenon which until now has only been seen in HETE J1900.1$-$2455 (Galloway et al. 2007). We note that (Kaaret et al. 2003) reported the discovery of a 409.7 Hz burst oscillation from SAX J1748.9-2021, also located in NGC 6440. However, Chandra X-ray Observatory imaging indicates it contains several point-like X-ray sources, thus the 442 Hz object is likely a different source.
astro-ph
we report on the serendipitous discovery of a 442hz pulsar during a rossi xray timing explorer rxte observation of the globular cluster ngc 6440 the oscillation is detected following a burstlike event which was decaying at the beginning of the observation the time scale of the decay suggests we may have seen the tailend of a longduration burst lowmass xray binaries lmxbs are known to emit thermonuclear xray bursts that are sometimes modulated by the spin frequency of the star the so called burst oscillations the pulsations reported here are peculiar if interpreted as canonical burst oscillations in particular the pulse train lasted for 500 s much longer than in standard burst oscillations the signal was highly coherent and drifted down by 2x103 hz much smaller than the hz drifts typically observed during normal bursts the pulsations are reminiscent of those observed during the much more energetic superbursts however the temporal profile and the energetics of the burst suggest that it was not the tail end nor the precursor feature of a superburst it is possible that we caught the tail end of an outburst from a new intermittent accreting xray millisecond pulsar a phenomenon which until now has only been seen in hete j190012455 galloway et al 2007 we note that kaaret et al 2003 reported the discovery of a 4097 hz burst oscillation from sax j174892021 also located in ngc 6440 however chandra xray observatory imaging indicates it contains several pointlike xray sources thus the 442 hz object is likely a different source
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708.083
Constraining Dark Energy Anisotropic Stress
We investigate the possibility of using cosmological observations to probe and constrain an imperfect dark energy fluid. We consider a general parameterization of the dark energy component accounting for an equation of state, speed of sound and viscosity. We use present and future data from the cosmic microwave background radiation (CMB), large scale structures and supernovae type Ia. We find that both the speed of sound and viscosity parameters are difficult to nail down with the present cosmological data. Also, we argue that it will be hard to improve the constraints significantly with future CMB data sets. The implication is that a perfect fluid description might ultimately turn out to be a phenomenologically sufficient description of all the observational consequences of dark energy. The fundamental lesson is however that even then one cannot exclude, by appealing to observational evidence alone, the possibility of imperfectness in dark energy.
astro-ph
we investigate the possibility of using cosmological observations to probe and constrain an imperfect dark energy fluid we consider a general parameterization of the dark energy component accounting for an equation of state speed of sound and viscosity we use present and future data from the cosmic microwave background radiation cmb large scale structures and supernovae type ia we find that both the speed of sound and viscosity parameters are difficult to nail down with the present cosmological data also we argue that it will be hard to improve the constraints significantly with future cmb data sets the implication is that a perfect fluid description might ultimately turn out to be a phenomenologically sufficient description of all the observational consequences of dark energy the fundamental lesson is however that even then one cannot exclude by appealing to observational evidence alone the possibility of imperfectness in dark energy
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708.0831
Photon wave functions, wave-packet quantization of light, and coherence theory
The monochromatic Dirac and polychromatic Titulaer-Glauber quantized field theories (QFTs) of electromagnetism are derived from a photon-energy wave function in much the same way that one derives QFT for electrons, that is, by quantization of a single-particle wave function. The photon wave function and its equation of motion are established from the Einstein energy-momentum-mass relation, assuming a local energy density. This yields a theory of photon wave mechanics (PWM). The proper Lorentz-invariant single-photon scalar product is found to be non-local in coordinate space, and is shown to correspond to orthogonalization of the Titulaer-Glauber wave-packet modes. The wave functions of PWM and mode functions of QFT are shown to be equivalent, evolving via identical equations of motion, and completely describe photonic states. We generalize PWM to two or more photons, and show how to switch between the PWM and QFT viewpoints. The second-order coherence tensors of classical coherence theory and the two-photon wave functions are shown to propagate equivalently. We give examples of beam-like states, which can be used as photon wave functions in PWM, or modes in QFT. We propose a practical mode converter based on spectral filtering to convert between wave packets and their corresponding biorthogonal dual wave packets.
quant-ph
the monochromatic dirac and polychromatic titulaerglauber quantized field theories qfts of electromagnetism are derived from a photonenergy wave function in much the same way that one derives qft for electrons that is by quantization of a singleparticle wave function the photon wave function and its equation of motion are established from the einstein energymomentummass relation assuming a local energy density this yields a theory of photon wave mechanics pwm the proper lorentzinvariant singlephoton scalar product is found to be nonlocal in coordinate space and is shown to correspond to orthogonalization of the titulaerglauber wavepacket modes the wave functions of pwm and mode functions of qft are shown to be equivalent evolving via identical equations of motion and completely describe photonic states we generalize pwm to two or more photons and show how to switch between the pwm and qft viewpoints the secondorder coherence tensors of classical coherence theory and the twophoton wave functions are shown to propagate equivalently we give examples of beamlike states which can be used as photon wave functions in pwm or modes in qft we propose a practical mode converter based on spectral filtering to convert between wave packets and their corresponding biorthogonal dual wave packets
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708.0832
Two Jovian-Mass Planets in Earthlike Orbits
We report the discovery of two new planets: a 1.94 M_Jup planet in a 1.8-year orbit of HD 5319, and a 2.51 M_Jup planet in a 1.1-year orbit of HD 75898. The measured eccentricities are 0.12 for HD 5319 b and 0.10 for HD 75898 b, and Markov Chain Monte Carlo simulations based on derived orbital parameters indicate that the radial velocities of both stars are consistent with circular planet orbits. With low eccentricity and 1 < a < 2 AU, our new planets have orbits similar to terrestrial planets in the solar system. The radial velocity residuals of both stars have significant trends, likely arising from substellar or low-mass stellar companions.
astro-ph
we report the discovery of two new planets a 194 m_jup planet in a 18year orbit of hd 5319 and a 251 m_jup planet in a 11year orbit of hd 75898 the measured eccentricities are 012 for hd 5319 b and 010 for hd 75898 b and markov chain monte carlo simulations based on derived orbital parameters indicate that the radial velocities of both stars are consistent with circular planet orbits with low eccentricity and 1 a 2 au our new planets have orbits similar to terrestrial planets in the solar system the radial velocity residuals of both stars have significant trends likely arising from substellar or lowmass stellar companions
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708.0833
The Host Galaxy of GRB 060505: Host ISM Properties
We investigate the ISM environment of GRB 060505. Using optical emission-line diagnostic ratios, we compare the ISM properties of the GRB 060505 host region with the hosts of unambiguous long- and short-duration GRBs. We show that the metallicity, ionization state, and star formation rate of the GRB 060505 environment are more consistent with short-duration GRBs than with long-duration GRBs. We compare the metallicity and star formation rates of the GRB 060505 region with four other star-forming regions within the GRB 060505 host galaxy. We find no significant change in metallicity or star formation rate between the GRB 060505 region and the other four host regions. Our results are consistent with a compact-object-merger progenitor for GRB 060505.
astro-ph
we investigate the ism environment of grb 060505 using optical emissionline diagnostic ratios we compare the ism properties of the grb 060505 host region with the hosts of unambiguous long and shortduration grbs we show that the metallicity ionization state and star formation rate of the grb 060505 environment are more consistent with shortduration grbs than with longduration grbs we compare the metallicity and star formation rates of the grb 060505 region with four other starforming regions within the grb 060505 host galaxy we find no significant change in metallicity or star formation rate between the grb 060505 region and the other four host regions our results are consistent with a compactobjectmerger progenitor for grb 060505
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708.0834
TrES-4: A Transiting Hot Jupiter of Very Low Density
We report the discovery of TrES-4, a hot Jupiter that transits the star GSC 02620-00648 every 3.55 days. From high-resolution spectroscopy of the star we estimate a stellar effective temperature of Teff = 6100 +/- 150 K, and from high-precision z and B photometry of the transit we constrain the ratio of the semi-major axis and the stellar radius to be a/R = 6.03 +/- 0.13. We compare these values to model stellar isochrones to constrain the stellar mass to be M* = 1.22 +/- 0.17 Msun. Based on this estimate and the photometric time series, we constrain the stellar radius to be R* = 1.738 +/- 0.092 Rsun and the planet radius to be Rp = 1.674 +/- 0.094 RJup. We model our radial-velocity data assuming a circular orbit and find a planetary mass of 0.84 +/- 0.10 MJup. Our radial-velocity observations rule out line-bisector variations that would indicate a specious detection resulting from a blend of an eclipsing binary system. TrES-4 has the largest radius and lowest density of any of the known transiting planets. It presents a challenge to current models of the physical structure of hot Jupiters, and indicates that the diversity of physical properties amongst the members of this class of exoplanets has yet to be fully explored.
astro-ph
we report the discovery of tres4 a hot jupiter that transits the star gsc 0262000648 every 355 days from highresolution spectroscopy of the star we estimate a stellar effective temperature of teff 6100 150 k and from highprecision z and b photometry of the transit we constrain the ratio of the semimajor axis and the stellar radius to be ar 603 013 we compare these values to model stellar isochrones to constrain the stellar mass to be m 122 017 msun based on this estimate and the photometric time series we constrain the stellar radius to be r 1738 0092 rsun and the planet radius to be rp 1674 0094 rjup we model our radialvelocity data assuming a circular orbit and find a planetary mass of 084 010 mjup our radialvelocity observations rule out linebisector variations that would indicate a specious detection resulting from a blend of an eclipsing binary system tres4 has the largest radius and lowest density of any of the known transiting planets it presents a challenge to current models of the physical structure of hot jupiters and indicates that the diversity of physical properties amongst the members of this class of exoplanets has yet to be fully explored
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708.0835
Rest-Frame Ultraviolet to Near Infrared Observations of an Interacting Lyman Break Galaxy at z = 4.42
We present the rest-frame ultraviolet through near infrared spectral energy distribution for an interacting Lyman break galaxy at a redshift z=4.42, the highest redshift merging system known with clearly resolved tidal features. The two objects in this system - HDF-G4 and its previously unidentified companion - are both B_{435} band dropouts, have similar V_{606}-i_{775} and i_{775}-z_{850} colors, and are separated by 1", which at z=4.42 corresponds to 7 kpc projected nuclear separation; all indicative of an interacting system. Fits to stellar population models indicate a stellar mass of M_\star = 2.6\times 10^{10} M_\odot, age of \tau_\star = 720 My, and exponential star formation history with an e-folding time \tau_0 = 440 My. Using these derived stellar populations as constraints, we model the HDF-G4 system using hydrodynamical simulations, and find that it will likely evolve into a quasar by z\sim3.5, and a quiescent, compact spheroid by z\sim 2.5 similar to those observed at z > 2. And, the existence of such an object supports galaxy formation models in which major mergers drive the high redshift buildup of spheroids and black holes.
astro-ph
we present the restframe ultraviolet through near infrared spectral energy distribution for an interacting lyman break galaxy at a redshift z442 the highest redshift merging system known with clearly resolved tidal features the two objects in this system hdfg4 and its previously unidentified companion are both b_435 band dropouts have similar v_606i_775 and i_775z_850 colors and are separated by 1 which at z442 corresponds to 7 kpc projected nuclear separation all indicative of an interacting system fits to stellar population models indicate a stellar mass of m_star 26times 1010 m_odot age of tau_star 720 my and exponential star formation history with an efolding time tau_0 440 my using these derived stellar populations as constraints we model the hdfg4 system using hydrodynamical simulations and find that it will likely evolve into a quasar by zsim35 and a quiescent compact spheroid by zsim 25 similar to those observed at z 2 and the existence of such an object supports galaxy formation models in which major mergers drive the high redshift buildup of spheroids and black holes
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708.0836
Can experiments distinguish between Radiative Electroweak Symmetry breaking and Conventional breaking?
We present a comparative study of radiative electroweak symmetry breaking and conventional standard model breaking, and pose the question whether experiments can distinguish one breaking mode from the other. The importance of the problem lies in the fact that the two breaking modes have very different physical interpretations concerning the mechanism of spontaneous electroweak symmetry breaking and the origin of mass.
hep-ph
we present a comparative study of radiative electroweak symmetry breaking and conventional standard model breaking and pose the question whether experiments can distinguish one breaking mode from the other the importance of the problem lies in the fact that the two breaking modes have very different physical interpretations concerning the mechanism of spontaneous electroweak symmetry breaking and the origin of mass
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708.0837
Atomic Collapse and Quasi-Rydberg States in Graphene
Charge impurities in graphene can host an infinite family of Rydberg-like resonance states of massless Dirac particles. These states, appearing for supercritical charge, are described by Bohr-Sommerfeld quantization of collapsing classical trajectories that descend on point charge, in analogy to Rydberg states relation with planetary orbits. We argue that divalent and trivalent charge impurities in graphene is an ideal system for realization of this atomic collapse regime. Strong coupling of these states to the Dirac continuum via Klein tunneling leads to striking resonance effects with direct signatures in transport, local properties and enhancement of the Kondo effect.
cond-mat.mes-hall
charge impurities in graphene can host an infinite family of rydberglike resonance states of massless dirac particles these states appearing for supercritical charge are described by bohrsommerfeld quantization of collapsing classical trajectories that descend on point charge in analogy to rydberg states relation with planetary orbits we argue that divalent and trivalent charge impurities in graphene is an ideal system for realization of this atomic collapse regime strong coupling of these states to the dirac continuum via klein tunneling leads to striking resonance effects with direct signatures in transport local properties and enhancement of the kondo effect
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708.0838
A separable non-remainder of H
We prove that there is a compact separable continuum that (consistently) is not a remainder of the real line.
math.GN math.LO
we prove that there is a compact separable continuum that consistently is not a remainder of the real line
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708.0839
Quantum graphs where back-scattering is prohibited
We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrices and explain the advantages and interest in their study. We also provide two methods to build the vertex scattering matrices needed for their construction.
math-ph math.MP
we describe a new class of scattering matrices for quantum graphs in which backscattering is prohibited we discuss some properties of quantum graphs with these scattering matrices and explain the advantages and interest in their study we also provide two methods to build the vertex scattering matrices needed for their construction
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708.084
Multiple complex networks emerging from individual interactions
Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species (e.g. predator and prey). Fields are produced and sensed by the individuals, defining spatio-temporal patterns which are strongly affected by the attraction intensity between individuals from the same species. The dynamical evolution of the system, including the change of individuals between different clusters, is investigated by building two complex networks having the individuals as nodes. In the first network, the edge weight is given by the Euclidean distance between every two individuals and, in the case of the second network, by the amount of time two individuals stay close one another. A third network is obtained from the two previous networks whose nodes correspond to the spatially congruent groups. The system evolves to an organized state where Gaussian and scale-free-like strength distributions emerge, respectively, in the predator and prey networks. Such a different connectivity is mainly a consequence of preys elimination. Some configurations favor the survival of preys or higher efficiency of predator activity.
physics.bio-ph physics.comp-ph
systems composed of distinct complex networks are present in many realworld environments from society to ecological systems in the present paper we propose a network model obtained as a consequence of interactions between two species eg predator and prey fields are produced and sensed by the individuals defining spatiotemporal patterns which are strongly affected by the attraction intensity between individuals from the same species the dynamical evolution of the system including the change of individuals between different clusters is investigated by building two complex networks having the individuals as nodes in the first network the edge weight is given by the euclidean distance between every two individuals and in the case of the second network by the amount of time two individuals stay close one another a third network is obtained from the two previous networks whose nodes correspond to the spatially congruent groups the system evolves to an organized state where gaussian and scalefreelike strength distributions emerge respectively in the predator and prey networks such a different connectivity is mainly a consequence of preys elimination some configurations favor the survival of preys or higher efficiency of predator activity
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708.0841
Triangularization of a Jordan Algebra of Schatten Operators
We show that a Jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace. As a consequence of this result, we obtain that a Jordan algebra of quasinilpotent Schatten operators is simultaneously triangularizable.
math.OA
we show that a jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace as a consequence of this result we obtain that a jordan algebra of quasinilpotent schatten operators is simultaneously triangularizable
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708.0842
The Crepant Resolution Conjecture for 3-dimensional flags modulo an involution
After fixing a non-degenerate bilinear form on a vector space V we define an involution of the manifold of flags F in V by taking a flag to its orthogonal complement. When V is of dimension 3 we check that the Crepant Resolution Conjecture of J. Bryan and T. Graber holds: the genus zero (orbifold) Gromov-Witten potential function of [F / Z_2] agrees (up to unstable terms) with the genus zero Gromov-Witten potential function of a crepant resolution Y of the quotient scheme F / Z_2, after setting a quantum parameter to -1, making a linear change of variables, and analytically continuing coefficients. The crepant resolution Y (a hypersurface in the Hilbert scheme Hilb^2 P^2) is the projectivization of a novel rank 2 vector bundle over P^2.
math.AG
after fixing a nondegenerate bilinear form on a vector space v we define an involution of the manifold of flags f in v by taking a flag to its orthogonal complement when v is of dimension 3 we check that the crepant resolution conjecture of j bryan and t graber holds the genus zero orbifold gromovwitten potential function of f z_2 agrees up to unstable terms with the genus zero gromovwitten potential function of a crepant resolution y of the quotient scheme f z_2 after setting a quantum parameter to 1 making a linear change of variables and analytically continuing coefficients the crepant resolution y a hypersurface in the hilbert scheme hilb2 p2 is the projectivization of a novel rank 2 vector bundle over p2
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708.0843
Landau levels and oscillator strength in a biased bilayer of graphene
We obtain analytical expressions for the eigenstates and the Landau level spectrum of biased graphene bilayers in a magnetic field. The calculations are performed in the context of a four-band continuum model and generalize previous approximate results. Solutions are presented for the spectrum as a function of interlayer coupling, the potential difference between the layers and the magnetic field. The explicit expressions allow us to calculate the oscillator strength and the selection rules for electric dipole transitions between the Landau states. Some transitions are significantly shifted in energy relative to those in an unbiased bialyer and exhibit a very different magnetic field dependence.
cond-mat.mes-hall
we obtain analytical expressions for the eigenstates and the landau level spectrum of biased graphene bilayers in a magnetic field the calculations are performed in the context of a fourband continuum model and generalize previous approximate results solutions are presented for the spectrum as a function of interlayer coupling the potential difference between the layers and the magnetic field the explicit expressions allow us to calculate the oscillator strength and the selection rules for electric dipole transitions between the landau states some transitions are significantly shifted in energy relative to those in an unbiased bialyer and exhibit a very different magnetic field dependence
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708.0844
Emergence of Small-Scale Magnetic Loops in the Quiet Sun Internetwork
We study the emergence of magnetic flux at very small spatial scales (less than 2 arcsec) in the quiet Sun internetwork. To this aim, a time series of spectropolarimetric maps was taken at disk center using the instrument SP/SOT on board Hinode. The LTE inversion of the full Stokes vector measured in the Fe I 6301 and 6302 A lines allows us to retrieve the magnetic flux and topology in the region of study. In the example presented here, the magnetic flux emerges within a granular structure. The horizontal magnetic field appears prior to any significant amount of vertical field. As time goes on, the traces of the horizontal field disappear while the the vertical dipoles drift -carried by the plasma motions- towards the surrounding intergranular lanes. These events take place within typical granulation timescales.
astro-ph
we study the emergence of magnetic flux at very small spatial scales less than 2 arcsec in the quiet sun internetwork to this aim a time series of spectropolarimetric maps was taken at disk center using the instrument spsot on board hinode the lte inversion of the full stokes vector measured in the fe i 6301 and 6302 a lines allows us to retrieve the magnetic flux and topology in the region of study in the example presented here the magnetic flux emerges within a granular structure the horizontal magnetic field appears prior to any significant amount of vertical field as time goes on the traces of the horizontal field disappear while the the vertical dipoles drift carried by the plasma motions towards the surrounding intergranular lanes these events take place within typical granulation timescales
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708.0845
The SCUBA HAlf Degree Extragalactic Survey (SHADES) -- V. Submillimetre properties of near-infrared--selected galaxies in the Subaru/XMM--Newton deep field
We have studied the submillimetre (submm) properties of the following classes of near-infrared (NIR)-selected massive galaxies at high redshifts: BzK-selected star-forming galaxies (BzKs); distant red galaxies (DRGs); and extremely red objects (EROs). We used the SCUBA HAlf Degree Extragalactic Survey (SHADES), the largest uniform submm survey to date. Partial overlap of SIRIUS/NIR images and SHADES in SXDF has allowed us to identify 4 submm-bright NIR-selected galaxies, which are detected in the mid-infrared, 24 micron, and the radio, 1.4 GHz. We find that all of our submm-bright NIR-selected galaxies satisfy the BzK selection criteria, except for one galaxy whose B-z and z-K colours are however close to the BzK colour boundary. Two of the submm-bright NIR-selected galaxies satisfy all of the selection criteria we considered, i.e. they belong to the BzK-DRG-ERO overlapping population, or `extremely red' BzKs. Although these extremely red BzKs are rare (0.25 arcmin^{-2}), up to 20 % of this population could be submm galaxies. This fraction is significantly higher than that found for other galaxy populations studied here. Via a stacking analysis, we have detected the 850 micron flux of submm-faint BzKs and EROs in our SCUBA maps. While the contribution of z~2 BzKs to the submm background is about 10--15 % and similar to that from EROs typically at z~1, BzKs have a higher fraction (~30 %) of submm flux in resolved sources compared with EROs and submm sources as a whole. From the SED fitting analysis for both submm-bright and submm-faint BzKs, we found no clear signature that submm-bright BzKs are experiencing a specifically luminous evolutionary phase, compared with submm-faint BzKs. An alternative explanation might be that submm-bright BzKs are more massive than submm-faint ones.
astro-ph
we have studied the submillimetre submm properties of the following classes of nearinfrared nirselected massive galaxies at high redshifts bzkselected starforming galaxies bzks distant red galaxies drgs and extremely red objects eros we used the scuba half degree extragalactic survey shades the largest uniform submm survey to date partial overlap of siriusnir images and shades in sxdf has allowed us to identify 4 submmbright nirselected galaxies which are detected in the midinfrared 24 micron and the radio 14 ghz we find that all of our submmbright nirselected galaxies satisfy the bzk selection criteria except for one galaxy whose bz and zk colours are however close to the bzk colour boundary two of the submmbright nirselected galaxies satisfy all of the selection criteria we considered ie they belong to the bzkdrgero overlapping population or extremely red bzks although these extremely red bzks are rare 025 arcmin2 up to 20 of this population could be submm galaxies this fraction is significantly higher than that found for other galaxy populations studied here via a stacking analysis we have detected the 850 micron flux of submmfaint bzks and eros in our scuba maps while the contribution of z2 bzks to the submm background is about 1015 and similar to that from eros typically at z1 bzks have a higher fraction 30 of submm flux in resolved sources compared with eros and submm sources as a whole from the sed fitting analysis for both submmbright and submmfaint bzks we found no clear signature that submmbright bzks are experiencing a specifically luminous evolutionary phase compared with submmfaint bzks an alternative explanation might be that submmbright bzks are more massive than submmfaint ones
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708.0846
Cooperative game theory and the Gaussian interference channel
In this paper we discuss the use of cooperative game theory for analyzing interference channels. We extend our previous work, to games with N players as well as frequency selective channels and joint TDM/FDM strategies. We show that the Nash bargaining solution can be computed using convex optimization techniques. We also show that the same results are applicable to interference channels where only statistical knowledge of the channel is available. Moreover, for the special case of two players $2\times K$ frequency selective channel (with K frequency bins) we provide an $O(K \log_2 K)$ complexity algorithm for computing the Nash bargaining solution under mask constraint and using joint FDM/TDM strategies. Simulation results are also provided.
cs.IT cs.GT math.IT
in this paper we discuss the use of cooperative game theory for analyzing interference channels we extend our previous work to games with n players as well as frequency selective channels and joint tdmfdm strategies we show that the nash bargaining solution can be computed using convex optimization techniques we also show that the same results are applicable to interference channels where only statistical knowledge of the channel is available moreover for the special case of two players 2times k frequency selective channel with k frequency bins we provide an ok log_2 k complexity algorithm for computing the nash bargaining solution under mask constraint and using joint fdmtdm strategies simulation results are also provided
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708.0847
Direct Observational Test Rules Out Small MgII Absorbers
Recent observations suggest the incidence of strong intervening MgII absorption systems along the line-of-sight to gamma ray burst (GRB) afterglows is significantly higher than expected from analogous quasar sightlines. One possible explanation is a geometric effect, arising because MgII absorbers only partially cover the quasar continuum regions, in which case MgII absorbers must be considerably smaller than previous estimates. We investigate the production of abnormal absorption profiles by partial coverage and conclude that the lack of any known anomalous profiles in observed systems, whilst constraining, cannot on its own rule out patchy MgII absorbers. In a separate test, we look for differences in the distribution function of MgII equivalent widths over quasar continuum regions and CIII] emission lines. We show that these anomalies should be observable in any scenario where MgII absorbers are very small, but they are not present in the data. We conclude that models invoking small MgII cloudlets to explain the excess of absorbers seen towards GRBs are ruled out.
astro-ph
recent observations suggest the incidence of strong intervening mgii absorption systems along the lineofsight to gamma ray burst grb afterglows is significantly higher than expected from analogous quasar sightlines one possible explanation is a geometric effect arising because mgii absorbers only partially cover the quasar continuum regions in which case mgii absorbers must be considerably smaller than previous estimates we investigate the production of abnormal absorption profiles by partial coverage and conclude that the lack of any known anomalous profiles in observed systems whilst constraining cannot on its own rule out patchy mgii absorbers in a separate test we look for differences in the distribution function of mgii equivalent widths over quasar continuum regions and ciii emission lines we show that these anomalies should be observable in any scenario where mgii absorbers are very small but they are not present in the data we conclude that models invoking small mgii cloudlets to explain the excess of absorbers seen towards grbs are ruled out
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708.0848
Validation of spallation neutron production and propagation within Geant4
Using simulations to understand backgrounds from muon-induced neutrons is important in designing next-generation low-background underground experiments. Validation of relevant physics within the Geant4 simulation package has been completed by comparing to data from two recent experiments. Verification focused on the production and propagation of neutrons at energies important to underground experiments. Discrepancies were observed between experimental data and the simulation. Techniques were explored to correct for these discrepancies.
nucl-ex
using simulations to understand backgrounds from muoninduced neutrons is important in designing nextgeneration lowbackground underground experiments validation of relevant physics within the geant4 simulation package has been completed by comparing to data from two recent experiments verification focused on the production and propagation of neutrons at energies important to underground experiments discrepancies were observed between experimental data and the simulation techniques were explored to correct for these discrepancies
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