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707.363
Molecular production at a wide Feshbach resonance in Fermi-gas of cooled atoms
The problem of molecular production from degenerate gas of fermions at a wide Feshbach resonance, in a single-mode approximation, is reduced to the linear Landau-Zener problem for operators. The strong interaction leads to significant renormalization of the gap between adiabatic levels. In contrast to static problem the close vicinity of exact resonance does not play substantial role. Two main physical results of our theory is the high sensitivity of molecular production to the initial value of magnetic field and generation of a large BCS condensate distributed over a broad range of momenta in inverse process of the molecule dissociation.
cond-mat.other
the problem of molecular production from degenerate gas of fermions at a wide feshbach resonance in a singlemode approximation is reduced to the linear landauzener problem for operators the strong interaction leads to significant renormalization of the gap between adiabatic levels in contrast to static problem the close vicinity of exact resonance does not play substantial role two main physical results of our theory is the high sensitivity of molecular production to the initial value of magnetic field and generation of a large bcs condensate distributed over a broad range of momenta in inverse process of the molecule dissociation
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707.3631
Isoperimetric inequalities for eigenvalues of triangles
Lower bounds estimates are proved for the first eigenvalue for the Dirichlet Laplacian on arbitrary triangles using various symmetrization techniques. These results can viewed as a generalization of P\'olya's isoperimetric bounds. It is also shown that amongst triangles, the equilateral triangle minimizes the spectral gap and (under additional assumption) the ratio of the first two eigenvalues. This last result resembles the Payne-P\'olya-Weinberger conjecture proved by Ashbaugh and Benguria.
math.SP
lower bounds estimates are proved for the first eigenvalue for the dirichlet laplacian on arbitrary triangles using various symmetrization techniques these results can viewed as a generalization of polyas isoperimetric bounds it is also shown that amongst triangles the equilateral triangle minimizes the spectral gap and under additional assumption the ratio of the first two eigenvalues this last result resembles the paynepolyaweinberger conjecture proved by ashbaugh and benguria
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707.3632
Sharp bounds on 2m/r for static spherical objects
Sharp bounds are obtained, under a variety of assumptions on the eigenvalues of the Einstein tensor, for the ratio of the Hawking mass to the areal radius in static, spherically symmetric space-times.
gr-qc
sharp bounds are obtained under a variety of assumptions on the eigenvalues of the einstein tensor for the ratio of the hawking mass to the areal radius in static spherically symmetric spacetimes
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707.3633
Do mixtures of bosonic and fermionic atoms adiabatically heat up in optical lattices?
Mixtures of bosonic and fermionic atoms in optical lattices provide a promising arena to study strongly correlated systems. In experiments realizing such mixtures in the quantum degenerate regime the temperature is a key parameter. In this work, we investigate the intrinsic heating and cooling effects due to an entropy-preserving raising of the optical lattice potential. We analyze this process, identify the generic behavior valid for a wide range of parameters, and discuss it quantitatively for the recent experiments with 87Rb and 40K atoms. In the absence of a lattice, we treat the bosons in the Hartree-Fock-Bogoliubov-Popov-approximation, including the fermions in a self-consistent mean field interaction. In the presence of the full three-dimensional lattice, we use a strong coupling expansion. As a result of the presence of the fermions, the temperature of the mixture after the lattice ramp-up is always higher than for the pure bosonic case. This sheds light onto a key point in the analysis of recent experiments.
cond-mat.stat-mech quant-ph
mixtures of bosonic and fermionic atoms in optical lattices provide a promising arena to study strongly correlated systems in experiments realizing such mixtures in the quantum degenerate regime the temperature is a key parameter in this work we investigate the intrinsic heating and cooling effects due to an entropypreserving raising of the optical lattice potential we analyze this process identify the generic behavior valid for a wide range of parameters and discuss it quantitatively for the recent experiments with 87rb and 40k atoms in the absence of a lattice we treat the bosons in the hartreefockbogoliubovpopovapproximation including the fermions in a selfconsistent mean field interaction in the presence of the full threedimensional lattice we use a strong coupling expansion as a result of the presence of the fermions the temperature of the mixture after the lattice rampup is always higher than for the pure bosonic case this sheds light onto a key point in the analysis of recent experiments
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707.3634
Integral Field Spectroscopy of High-Redshift Star Forming Galaxies with Laser Guided Adaptive Optics: Evidence for Dispersion-Dominated Kinematics
We present early results from an ongoing study of the kinematic structure of star-forming galaxies at redshift z ~ 2 - 3 using integral-field spectroscopy of rest-frame optical nebular emission lines in combination with Keck laser guide star adaptive optics (LGSAO). We show kinematic maps of 3 target galaxies Q1623-BX453, Q0449-BX93, and DSF2237a-C2 located at redshifts z = 2.1820, 2.0067, and 3.3172 respectively, each of which is well-resolved with a PSF measuring approximately 0.11 - 0.15 arcsec (~ 900 - 1200 pc at z ~ 2-3) after cosmetic smoothing. Neither galaxy at z ~ 2 exhibits substantial kinematic structure on scales >~ 30 km/s; both are instead consistent with largely dispersion-dominated velocity fields with sigma ~ 80 km/s along any given line of sight into the galaxy. In contrast, DSF2237a-C2 presents a well-resolved gradient in velocity over a distance of ~ 4 kpc with peak-to-peak amplitude of 140 km/s. It is unlikely that DSF2237a-C2 represents a dynamically cold rotating disk of ionized gas as the local velocity dispersion of the galaxy (sigma = 79 km/s) is comparable to the observed shear. Using extant multi-wavelength spectroscopy and photometry we relate these kinematic data to physical properties such as stellar mass, gas fraction, star formation rate, and outflow kinematics and consider the applicability of current galaxy formation models.[Abridged]
astro-ph
we present early results from an ongoing study of the kinematic structure of starforming galaxies at redshift z 2 3 using integralfield spectroscopy of restframe optical nebular emission lines in combination with keck laser guide star adaptive optics lgsao we show kinematic maps of 3 target galaxies q1623bx453 q0449bx93 and dsf2237ac2 located at redshifts z 21820 20067 and 33172 respectively each of which is wellresolved with a psf measuring approximately 011 015 arcsec 900 1200 pc at z 23 after cosmetic smoothing neither galaxy at z 2 exhibits substantial kinematic structure on scales 30 kms both are instead consistent with largely dispersiondominated velocity fields with sigma 80 kms along any given line of sight into the galaxy in contrast dsf2237ac2 presents a wellresolved gradient in velocity over a distance of 4 kpc with peaktopeak amplitude of 140 kms it is unlikely that dsf2237ac2 represents a dynamically cold rotating disk of ionized gas as the local velocity dispersion of the galaxy sigma 79 kms is comparable to the observed shear using extant multiwavelength spectroscopy and photometry we relate these kinematic data to physical properties such as stellar mass gas fraction star formation rate and outflow kinematics and consider the applicability of current galaxy formation modelsabridged
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707.3635
A Model for Fast Rising, Slowly Decaying Subpulses in Gamma-Ray Bursts
Gamma ray bursts (GRB's) often feature subpulses that have a distinctively asymmetric profile -- they rise quickly and decay much more slowly, while their spectrum softens slightly with observer time. It is suggested that these subpulses are caused by slow baryonic clouds embedded within a primary $\gamma$-ray beam, which scatter the $\gamma$-radiation into our line of sight as they accelerate. Good quantitative agreement is obtained with observed light curves and spectral evolution. The kinetic energy that the baryonic component of GRB jets receives from the primary $\gamma$-radiation is predicted to be about equal to the amount of $\gamma$-radiation that is scattered, consistent with observations of afterglow. Several other observational consequences are briefly discussed. The possibility is raised that the time scale of short GRB is established by radiative acceleration and/or baryon injection rather than the time scale of the central engine.
astro-ph
gamma ray bursts grbs often feature subpulses that have a distinctively asymmetric profile they rise quickly and decay much more slowly while their spectrum softens slightly with observer time it is suggested that these subpulses are caused by slow baryonic clouds embedded within a primary gammaray beam which scatter the gammaradiation into our line of sight as they accelerate good quantitative agreement is obtained with observed light curves and spectral evolution the kinetic energy that the baryonic component of grb jets receives from the primary gammaradiation is predicted to be about equal to the amount of gammaradiation that is scattered consistent with observations of afterglow several other observational consequences are briefly discussed the possibility is raised that the time scale of short grb is established by radiative acceleration andor baryon injection rather than the time scale of the central engine
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707.3636
Cooling of young stars growing by disk accretion
In the initial formation stages young stars must acquire a significant fraction of their mass by accretion from a circumstellar disk that forms in the center of a collapsing protostellar cloud. Throughout this period mass accretion rates through the disk can reach 10^{-6}-10^{-5} M_Sun/yr leading to substantial energy release in the vicinity of stellar surface. We study the impact of irradiation of the stellar surface produced by the hot inner disk on properties of accreting fully convective low-mass stars, and also look at objects such as young brown dwarfs and giant planets. At high accretion rates irradiation raises the surface temperature of the equatorial region above the photospheric temperature T_0 that a star would have in the absence of accretion. The high-latitude (polar) parts of the stellar surface, where disk irradiation is weak, preserve their temperature at the level of T_0. In strongly irradiated regions an almost isothermal outer radiative zone forms on top of the fully convective interior, leading to the suppression of the local internal cooling flux derived from stellar contraction (similar suppression occurs in irradiated ``hot Jupiters''). Properties of this radiative zone likely determine the amount of thermal energy that gets advected into the convective interior of the star. Total intrinsic luminosity integrated over the whole stellar surface is reduced compared to the non-accreting case, by up to a factor of several in some systems (young brown dwarfs, stars in quasar disks, forming giants planets), potentially leading to the retardation of stellar contraction. Stars and brown dwarfs irradiated by their disks tend to lose energy predominantly through their cool polar regions while young giant planets accreting through the disk cool through their whole surface.
astro-ph
in the initial formation stages young stars must acquire a significant fraction of their mass by accretion from a circumstellar disk that forms in the center of a collapsing protostellar cloud throughout this period mass accretion rates through the disk can reach 106105 m_sunyr leading to substantial energy release in the vicinity of stellar surface we study the impact of irradiation of the stellar surface produced by the hot inner disk on properties of accreting fully convective lowmass stars and also look at objects such as young brown dwarfs and giant planets at high accretion rates irradiation raises the surface temperature of the equatorial region above the photospheric temperature t_0 that a star would have in the absence of accretion the highlatitude polar parts of the stellar surface where disk irradiation is weak preserve their temperature at the level of t_0 in strongly irradiated regions an almost isothermal outer radiative zone forms on top of the fully convective interior leading to the suppression of the local internal cooling flux derived from stellar contraction similar suppression occurs in irradiated hot jupiters properties of this radiative zone likely determine the amount of thermal energy that gets advected into the convective interior of the star total intrinsic luminosity integrated over the whole stellar surface is reduced compared to the nonaccreting case by up to a factor of several in some systems young brown dwarfs stars in quasar disks forming giants planets potentially leading to the retardation of stellar contraction stars and brown dwarfs irradiated by their disks tend to lose energy predominantly through their cool polar regions while young giant planets accreting through the disk cool through their whole surface
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707.3637
Fractional Quantum Hall States and Jack Polynomials
We describe an occupation-number-like picture of Fractional Quantum Hall (FQH) states in terms of polynomial wavefunctions characterized by a dominant occupation-number configuration. The bosonic variants of single-component abelian and non-abelian FQH states are modeled by Jacks (Jack symmetric polynomials), characterized by dominant occupation-number configurations satisfying a generalized Pauli principle. In a series of well-known Quantum Hall states, including the Laughlin, Read-Moore, and Read-Rezayi, the Jack polynomials naturally implement a ``squeezing rule'' that constrains allowed configurations to be restricted to those obtained by squeezing the dominant configuration. The Jacks describing uniform FQH states satisfy a highest-weight condition, and a clustering condition which can be generalized to describe quasiparticle states.
cond-mat.mes-hall
we describe an occupationnumberlike picture of fractional quantum hall fqh states in terms of polynomial wavefunctions characterized by a dominant occupationnumber configuration the bosonic variants of singlecomponent abelian and nonabelian fqh states are modeled by jacks jack symmetric polynomials characterized by dominant occupationnumber configurations satisfying a generalized pauli principle in a series of wellknown quantum hall states including the laughlin readmoore and readrezayi the jack polynomials naturally implement a squeezing rule that constrains allowed configurations to be restricted to those obtained by squeezing the dominant configuration the jacks describing uniform fqh states satisfy a highestweight condition and a clustering condition which can be generalized to describe quasiparticle states
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707.3638
The Review and Analysis of Human Computer Interaction (HCI) Principles
The History of HCI is briefly reviewed together with three HCI models and structure including CSCW, CSCL and CSCR. It is shown that a number of authorities consider HCI to be a fragmented discipline with no agreed set of unifying design principles. An analysis of usability criteria based upon citation frequency of authors is performed in order to discover the eight most recognised HCI principles.
cs.HC
the history of hci is briefly reviewed together with three hci models and structure including cscw cscl and cscr it is shown that a number of authorities consider hci to be a fragmented discipline with no agreed set of unifying design principles an analysis of usability criteria based upon citation frequency of authors is performed in order to discover the eight most recognised hci principles
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707.3639
The Minimum Amount of Stars a Galaxy Will Form
We present an analysis of the atomic hydrogen and stellar properties of 38 late-type galaxies in the local Universe covering a wide range of HI mass-to-light ratios (M_HI/L_B), stellar luminosities, and surface brightnesses. From these data we have identified an upper envelope for the M_HI/L_B as a function of galaxy luminosity. This implies an empirical relation between the minimum amount of stars a galaxy will form and its initial baryonic mass. While the stellar mass of a galaxy seems to be only loosely connected to its baryonic mass, the latter quantity is strongly linked to the galaxy's dynamical mass as it is observed in the baryonic Tully-Fisher relation. We find that dwarf irregular galaxies with generally high M_HI/L_B-ratios follow the same trend as defined by lower M_HI/L_B giant galaxies, but are underluminous for their rotation velocity to follow the trend in a stellar mass Tully-Fisher relation, suggesting that the baryonic mass of the dwarf galaxies is normal but they have failed to produced a sufficient amount of stars. Finally, we present a three dimensional equivalent to the morphology-density relation which shows that high M_HI/L_B galaxies preferentially evolve and/or survive in low-density environments. We conclude that an isolated galaxy with a shallow dark matter potential can retain a large portion of its baryonic matter in the form of gas, only producing a minimum quantity of stars necessary to maintain a stable gas disk.
astro-ph
we present an analysis of the atomic hydrogen and stellar properties of 38 latetype galaxies in the local universe covering a wide range of hi masstolight ratios m_hil_b stellar luminosities and surface brightnesses from these data we have identified an upper envelope for the m_hil_b as a function of galaxy luminosity this implies an empirical relation between the minimum amount of stars a galaxy will form and its initial baryonic mass while the stellar mass of a galaxy seems to be only loosely connected to its baryonic mass the latter quantity is strongly linked to the galaxys dynamical mass as it is observed in the baryonic tullyfisher relation we find that dwarf irregular galaxies with generally high m_hil_bratios follow the same trend as defined by lower m_hil_b giant galaxies but are underluminous for their rotation velocity to follow the trend in a stellar mass tullyfisher relation suggesting that the baryonic mass of the dwarf galaxies is normal but they have failed to produced a sufficient amount of stars finally we present a three dimensional equivalent to the morphologydensity relation which shows that high m_hil_b galaxies preferentially evolve andor survive in lowdensity environments we conclude that an isolated galaxy with a shallow dark matter potential can retain a large portion of its baryonic matter in the form of gas only producing a minimum quantity of stars necessary to maintain a stable gas disk
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707.364
Deformation bicomplex of module-algebras
The deformation bicomplex of a module-algebra over a bialgebra is constructed. It is then applied to study algebraic deformations in which both the module structure and the algebra structure are deformed. The cases of module-coalgebras, comodule-(co)algebras, and (co)module-bialgebras are also considered.
math.AT math.KT math.RA
the deformation bicomplex of a modulealgebra over a bialgebra is constructed it is then applied to study algebraic deformations in which both the module structure and the algebra structure are deformed the cases of modulecoalgebras comodulecoalgebras and comodulebialgebras are also considered
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707.3641
Non-Magnetic Cloak without Reflection
In an electromagnetic cloak based on a transformation approach, reduced sets of material properties are generally favored due to their easier implementation in reality, although a seemingly inevitable drawback of undesired reflection exists in such cloaks. Here we suggest using high-order transformations to create smooth moduli at the outer boundary of the cloak, therefore completely eliminating the detrimental scattering within the limit of geometric optics. We apply this scheme to a non-magnetic cylindrical cloak and demonstrate that the scattered field is reduced substantially in a cloak with optimal quadratic transformation as compared to its linear counterpart.
physics.optics
in an electromagnetic cloak based on a transformation approach reduced sets of material properties are generally favored due to their easier implementation in reality although a seemingly inevitable drawback of undesired reflection exists in such cloaks here we suggest using highorder transformations to create smooth moduli at the outer boundary of the cloak therefore completely eliminating the detrimental scattering within the limit of geometric optics we apply this scheme to a nonmagnetic cylindrical cloak and demonstrate that the scattered field is reduced substantially in a cloak with optimal quadratic transformation as compared to its linear counterpart
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707.3642
Mutual information in random Boolean models of regulatory networks
The amount of mutual information contained in time series of two elements gives a measure of how well their activities are coordinated. In a large, complex network of interacting elements, such as a genetic regulatory network within a cell, the average of the mutual information over all pairs <I> is a global measure of how well the system can coordinate its internal dynamics. We study this average pairwise mutual information in random Boolean networks (RBNs) as a function of the distribution of Boolean rules implemented at each element, assuming that the links in the network are randomly placed. Efficient numerical methods for calculating <I> show that as the number of network nodes N approaches infinity, the quantity N<I> exhibits a discontinuity at parameter values corresponding to critical RBNs. For finite systems it peaks near the critical value, but slightly in the disordered regime for typical parameter variations. The source of high values of N<I> is the indirect correlations between pairs of elements from different long chains with a common starting point. The contribution from pairs that are directly linked approaches zero for critical networks and peaks deep in the disordered regime.
q-bio.OT q-bio.QM
the amount of mutual information contained in time series of two elements gives a measure of how well their activities are coordinated in a large complex network of interacting elements such as a genetic regulatory network within a cell the average of the mutual information over all pairs i is a global measure of how well the system can coordinate its internal dynamics we study this average pairwise mutual information in random boolean networks rbns as a function of the distribution of boolean rules implemented at each element assuming that the links in the network are randomly placed efficient numerical methods for calculating i show that as the number of network nodes n approaches infinity the quantity ni exhibits a discontinuity at parameter values corresponding to critical rbns for finite systems it peaks near the critical value but slightly in the disordered regime for typical parameter variations the source of high values of ni is the indirect correlations between pairs of elements from different long chains with a common starting point the contribution from pairs that are directly linked approaches zero for critical networks and peaks deep in the disordered regime
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707.3643
GK-dimension of birationally commutative surfaces
Let k be an algebraically closed field, let K/k be a finitely generated field extension of transcendence degree 2 with automorphism sigma, and let A be an N-graded subalgebra of Q = K[t; sigma] with A_n finite dimensional over k for all n. Then if A is big enough in Q in an appropriate sense, we prove that GKdim A = 3,4,5 or is infinite, with the exact value depending only on the geometric properties of sigma. The proof uses techniques in the birational geometry of surfaces which are of independent interest.
math.RA
let k be an algebraically closed field let kk be a finitely generated field extension of transcendence degree 2 with automorphism sigma and let a be an ngraded subalgebra of q kt sigma with a_n finite dimensional over k for all n then if a is big enough in q in an appropriate sense we prove that gkdim a 345 or is infinite with the exact value depending only on the geometric properties of sigma the proof uses techniques in the birational geometry of surfaces which are of independent interest
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707.3644
Reversal of spin polarization in Fe/GaAs (001) driven by resonant surface states: First-principles calculations
A minority-spin resonant state at the Fe/GaAs(001) interface is predicted to reverse the spin polarization with voltage bias of electrons transmitted across this interface. Using a Green's function approach within the local spin density approximation we calculate spin-dependent current in a Fe/GaAs/Cu tunnel junction as a function of applied bias voltage. We find a change in sign of the spin polarization of tunneling electrons with bias voltage due to the interface minority-spin resonance. This result explains recent experimental data on spin injection in Fe/GaAs contacts and on tunneling magnetoresistance in Fe/GaAs/Fe magnetic tunnel junctions.
cond-mat.mtrl-sci
a minorityspin resonant state at the fegaas001 interface is predicted to reverse the spin polarization with voltage bias of electrons transmitted across this interface using a greens function approach within the local spin density approximation we calculate spindependent current in a fegaascu tunnel junction as a function of applied bias voltage we find a change in sign of the spin polarization of tunneling electrons with bias voltage due to the interface minorityspin resonance this result explains recent experimental data on spin injection in fegaas contacts and on tunneling magnetoresistance in fegaasfe magnetic tunnel junctions
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707.3645
Radiative torque alignment: Essential Physical Processes
We study the physical processes that affect the alignment of grains subject to radiative torques (RATs). To describe the action of RATs, we use the analytical model (AMO) of RATs introduced in Paper I. We focus our discussion on the alignment by anisotropic radiation flux with respect to magnetic field, which defines the axis of grain Larmor precession. Such an alignment does not invoke paramagnetic dissipation (i.e. Davis-Greenstein mechanism), but, nevertheless, grains tend to be aligned with long axes perpendicular to the magnetic field. When we account for thermal fluctuations within grain material, we show that for grains, which are characterized by a triaxial ellipsoid of inertia, the zero-$J$ attractor point obtained in our earlier study develops into a low-$J$ attractor point. We study effects of stochastic gaseous bombardment and show that gaseous bombardment can drive grains from low-$J$ to high-$J$ attractor points in cases when the high-$J$ attractor points are present. As the alignment of grain axes with respect to angular momentum is higher for higher values of $J$, counter-intuitively, gaseous bombardment can increase the degree of grain alignment in respect to the magnetic field. We also study the effects of torques induced by H$_2$ formation and show that they can change the value of angular momentum at high-$J$ attractor point, but marginally affect the value of angular momentum at low-$J$ attractor points. We compare the AMO results with those obtained using the direct numerical calculations of RATs acting upon irregular grains and validate the use of the AMO for realistic situations of RAT alignment.
astro-ph
we study the physical processes that affect the alignment of grains subject to radiative torques rats to describe the action of rats we use the analytical model amo of rats introduced in paper i we focus our discussion on the alignment by anisotropic radiation flux with respect to magnetic field which defines the axis of grain larmor precession such an alignment does not invoke paramagnetic dissipation ie davisgreenstein mechanism but nevertheless grains tend to be aligned with long axes perpendicular to the magnetic field when we account for thermal fluctuations within grain material we show that for grains which are characterized by a triaxial ellipsoid of inertia the zeroj attractor point obtained in our earlier study develops into a lowj attractor point we study effects of stochastic gaseous bombardment and show that gaseous bombardment can drive grains from lowj to highj attractor points in cases when the highj attractor points are present as the alignment of grain axes with respect to angular momentum is higher for higher values of j counterintuitively gaseous bombardment can increase the degree of grain alignment in respect to the magnetic field we also study the effects of torques induced by h_2 formation and show that they can change the value of angular momentum at highj attractor point but marginally affect the value of angular momentum at lowj attractor points we compare the amo results with those obtained using the direct numerical calculations of rats acting upon irregular grains and validate the use of the amo for realistic situations of rat alignment
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707.3646
Transport quantum logic gates for trapped ions
Many efforts are currently underway to build a device capable of large scale quantum information processing (QIP). Whereas QIP has been demonstrated for a few qubits in several systems, many technical difficulties must be overcome in order to construct a large-scale device. In one proposal for large-scale QIP, trapped ions are manipulated by precisely controlled light pulses and moved through and stored in multizone trap arrays. The technical overhead necessary to precisely control both the ion geometrical configurations and the laser interactions is demanding. Here we propose methods that significantly reduce the overhead on laser beam control for performing single and multiple qubit operations on trapped ions. We show how a universal set of operations can be implemented by controlled transport of ions through stationary laser beams. At the same time, each laser beam can be used to perform many operations in parallel, potentially reducing the total laser power necessary to carry out QIP tasks. The overall setup necessary for implementing transport gates is simpler than for gates executed on stationary ions. We also suggest a transport-based two-qubit gate scheme utilizing microfabricated permanent magnets that can be executed without laser light.
quant-ph
many efforts are currently underway to build a device capable of large scale quantum information processing qip whereas qip has been demonstrated for a few qubits in several systems many technical difficulties must be overcome in order to construct a largescale device in one proposal for largescale qip trapped ions are manipulated by precisely controlled light pulses and moved through and stored in multizone trap arrays the technical overhead necessary to precisely control both the ion geometrical configurations and the laser interactions is demanding here we propose methods that significantly reduce the overhead on laser beam control for performing single and multiple qubit operations on trapped ions we show how a universal set of operations can be implemented by controlled transport of ions through stationary laser beams at the same time each laser beam can be used to perform many operations in parallel potentially reducing the total laser power necessary to carry out qip tasks the overall setup necessary for implementing transport gates is simpler than for gates executed on stationary ions we also suggest a transportbased twoqubit gate scheme utilizing microfabricated permanent magnets that can be executed without laser light
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707.3647
|V_{us}| from Lattice QCD
I review recent progress in calculating |V_{us}| from lattice QCD kaon and hyperon systems. A preliminary result from the first dynamical calculation in the hyperon channel is included.
hep-ph hep-lat
i review recent progress in calculating v_us from lattice qcd kaon and hyperon systems a preliminary result from the first dynamical calculation in the hyperon channel is included
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707.3648
T-Anomaly Induced LHC Signals
$\cal T$-parity in the Little Higgs model could be violated by anomalies that allow the lightest $\cal T$-odd $A_H$ to decay into $ZZ$ and $W^+W^-$. We analyze these anomaly induced decays and the two-particle and the three-particle decay modes of other heavy quarks and bosons in this model which yield unique Large Hadron Collider (LHC) signals with fully reconstructable events. $\cal T$-odd quarks in the Little Higgs model are nearly degenerate in mass and they decay by almost identical processes; however, members of the heavy Higgs triplet follow distinct decay modes. The branching fractions of three-body decays increase with the global symmetry-breaking energy scale $f$ and are found to be at the level of a few percent in heavy quark decays while they can reach up to 10% for heavy bosons.
hep-ph
cal tparity in the little higgs model could be violated by anomalies that allow the lightest cal todd a_h to decay into zz and ww we analyze these anomaly induced decays and the twoparticle and the threeparticle decay modes of other heavy quarks and bosons in this model which yield unique large hadron collider lhc signals with fully reconstructable events cal todd quarks in the little higgs model are nearly degenerate in mass and they decay by almost identical processes however members of the heavy higgs triplet follow distinct decay modes the branching fractions of threebody decays increase with the global symmetrybreaking energy scale f and are found to be at the level of a few percent in heavy quark decays while they can reach up to 10 for heavy bosons
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707.3649
Alkali Line Profiles in Degenerate Dwarfs
Ultracool stellar atmospheres show absorption by alkali resonance lines severely broadened by collisions with neutral perturbers. In the coolest and densest atmospheres, such as those of T dwarfs, Na I and K I broadened by molecular hydrogen and helium can come to dominate the entire optical spectrum. Their profiles have been successfully modelled with accurate interaction potentials in the adiabatic theory, computing line profiles from the first few orders of a density expansion of the autocorrelation function. The line shapes in the emergent spectrum also depend on the distribution of absorbers as a function of depth, which can be modelled with improved accuracy by new models of dust condensation and settling. The far red K I wings of the latest T dwarfs still show missing opacity in these models, a phenomenon similar to what has been found for the Na I line profiles observed in extremely cool, metal-rich white dwarfs. We show that the line profile in both cases is strongly determined by multiple-perturber interactions at short distances and can no longer be reproduced by a density expansion, but requires calculation of the full profile in a unified theory. Including such line profiles in stellar atmosphere codes will further improve models for the coolest and densest dwarfs as well as for the deeper atmosphere layers of substellar objects in general.
astro-ph
ultracool stellar atmospheres show absorption by alkali resonance lines severely broadened by collisions with neutral perturbers in the coolest and densest atmospheres such as those of t dwarfs na i and k i broadened by molecular hydrogen and helium can come to dominate the entire optical spectrum their profiles have been successfully modelled with accurate interaction potentials in the adiabatic theory computing line profiles from the first few orders of a density expansion of the autocorrelation function the line shapes in the emergent spectrum also depend on the distribution of absorbers as a function of depth which can be modelled with improved accuracy by new models of dust condensation and settling the far red k i wings of the latest t dwarfs still show missing opacity in these models a phenomenon similar to what has been found for the na i line profiles observed in extremely cool metalrich white dwarfs we show that the line profile in both cases is strongly determined by multipleperturber interactions at short distances and can no longer be reproduced by a density expansion but requires calculation of the full profile in a unified theory including such line profiles in stellar atmosphere codes will further improve models for the coolest and densest dwarfs as well as for the deeper atmosphere layers of substellar objects in general
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707.365
A Little Twin Higgs Model
We present a twin Higgs model based on left-right symmetry with a tree level quartic. This is made possible by extending the symmetry of the model to include two Z_2 parities, each of which is sufficient to protect the Higgs from getting a quadratically divergent mass squared. Although both parities are broken explicitly, the symmetries that protect the Higgs from getting a quadratically divergent mass are broken only collectively. The quadratic divergences of the Higgs mass are thus still protected at one loop. We find that the fine tuning in this model is reduced substantially compared to the original left-right twin Higgs model. This mechanism can also be applied to the mirror twin Higgs model to get a significant reduction of the fine tuning, while keeping the mirror photon massless.
hep-ph
we present a twin higgs model based on leftright symmetry with a tree level quartic this is made possible by extending the symmetry of the model to include two z_2 parities each of which is sufficient to protect the higgs from getting a quadratically divergent mass squared although both parities are broken explicitly the symmetries that protect the higgs from getting a quadratically divergent mass are broken only collectively the quadratic divergences of the higgs mass are thus still protected at one loop we find that the fine tuning in this model is reduced substantially compared to the original leftright twin higgs model this mechanism can also be applied to the mirror twin higgs model to get a significant reduction of the fine tuning while keeping the mirror photon massless
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707.3651
Phonon-induced many-body renormalization of graphene electronic properties
We develop a theory for the electron-phonon interaction effects on the electronic properties of graphene. We analytically calculate the electron self-energy, spectral function and band velocity renormalization due to phonon-mediated electron-electron interaction. We find that phonon-mediated electron-electron coupling has a large effect on the graphene band structure renormalization, and our analytic theory successfully captures the essential features of the observed graphene electron spectra in the ARPES experiments, predicting a kink at $\sim 200\mathrm{meV}$ below the Fermi level and a reduction of the band velocity by $\sim 10-20%$ at the experimental doping level.
cond-mat.mtrl-sci
we develop a theory for the electronphonon interaction effects on the electronic properties of graphene we analytically calculate the electron selfenergy spectral function and band velocity renormalization due to phononmediated electronelectron interaction we find that phononmediated electronelectron coupling has a large effect on the graphene band structure renormalization and our analytic theory successfully captures the essential features of the observed graphene electron spectra in the arpes experiments predicting a kink at sim 200mathrmmev below the fermi level and a reduction of the band velocity by sim 1020 at the experimental doping level
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707.3652
A simple shower and matching algorithm
We present a simple formalism for parton-shower Markov chains. As a first step towards more complete uncertainty bands, we incorporate a comprehensive exploration of the ambiguities inherent in such calculations. To reduce this uncertainty, we then introduce a matching formalism which allows a generated event sample to simultaneously reproduce any infrared safe distribution calculated at leading or next-to-leading order in perturbation theory, up to sub-leading corrections. To enable a more universal definition of perturbative calculations, we also propose a more general definition of the hadronization cutoff. Finally, we present an implementation of some of these ideas for final-state gluon showers, in a code dubbed VINCIA.
hep-ph
we present a simple formalism for partonshower markov chains as a first step towards more complete uncertainty bands we incorporate a comprehensive exploration of the ambiguities inherent in such calculations to reduce this uncertainty we then introduce a matching formalism which allows a generated event sample to simultaneously reproduce any infrared safe distribution calculated at leading or nexttoleading order in perturbation theory up to subleading corrections to enable a more universal definition of perturbative calculations we also propose a more general definition of the hadronization cutoff finally we present an implementation of some of these ideas for finalstate gluon showers in a code dubbed vincia
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707.3653
Self-Dual Yang-Mills Multiplet in Three Dimensions Coupled to Supergravity
We couple a recently-established N=1 globally supersymmetric self-dual Yang-Mills multiplet in three dimensions to supergravity. This becomes possible due to our previous result on globally supersymmetric formulation based on a compensator multiplet. We further couple the self-dual vector to a supersymmetric sigma-model on the coset SO(8,n) / SO(8) X SO(n) via minimal couplings for an arbitrary gauged subgroup H_0 \subset SO(8) X SO(n). A corresponding superspace formulation is also presented.
hep-th
we couple a recentlyestablished n1 globally supersymmetric selfdual yangmills multiplet in three dimensions to supergravity this becomes possible due to our previous result on globally supersymmetric formulation based on a compensator multiplet we further couple the selfdual vector to a supersymmetric sigmamodel on the coset so8n so8 x son via minimal couplings for an arbitrary gauged subgroup h_0 subset so8 x son a corresponding superspace formulation is also presented
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707.3654
Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter
We continue the study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we show the following results: Theorem A: The multiple (inverse) binomial sums of arbitrary weight and depth (see Eq. (1.1)) are expressible in terms of Remiddi-Vermaseren functions. Theorem B: The epsilon expansion of a hypergeometric function with one half-integer value of parameter (see Eq. (1.2)) is expressible in terms of the harmonic polylogarithms of Remiddi and Vermaseren with coefficients that are ratios of polynomials. Some extra materials are available via the www at this http://theor.jinr.ru/~kalmykov/hypergeom/hyper.html
hep-th hep-ph math-ph math.CA math.MP
we continue the study of the construction of analytical coefficients of the epsilonexpansion of hypergeometric functions and their connection with feynman diagrams in this paper we show the following results theorem a the multiple inverse binomial sums of arbitrary weight and depth see eq 11 are expressible in terms of remiddivermaseren functions theorem b the epsilon expansion of a hypergeometric function with one halfinteger value of parameter see eq 12 is expressible in terms of the harmonic polylogarithms of remiddi and vermaseren with coefficients that are ratios of polynomials some extra materials are available via the www at this httptheorjinrrukalmykovhypergeomhyperhtml
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707.3655
The Baum-Connes assembly map and the generalized Bass conjecture
We show that the image of Connes-Karoubi-Chern character, restricted to the image of the Baum-Connes assembly map in the Bott-periodized topological K-theory of the complex group algebra, lies in the elliptic summand of the (periodic) cyclic homology of the group algebra. This implies that for any (weighted) ell-1 completion of the group algebra, rational surjectivity of the Baum-Connes assembly map implies the generalized Bass conjecture for that algebra.
math.KT
we show that the image of conneskaroubichern character restricted to the image of the baumconnes assembly map in the bottperiodized topological ktheory of the complex group algebra lies in the elliptic summand of the periodic cyclic homology of the group algebra this implies that for any weighted ell1 completion of the group algebra rational surjectivity of the baumconnes assembly map implies the generalized bass conjecture for that algebra
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707.3656
Education and Outreach for the Pierre Auger Observatory
The scale and scope of the physics studied at the Auger Observatory offer significant opportunities for original outreach work. Education, outreach, and public relations of the Auger collaboration are coordinated in a task of its own whose goals are to encourage and support a wide range of efforts that link schools and the public with the Auger scientists and the science of cosmic rays, particle physics, and associated technologies. This report focuses on the impact of the collaboration in Mendoza Province, Argentina, as: the Auger Visitor Center in Malargue that has hosted over 29,000 visitors since 2001, the Auger Celebration and a collaboration-sponsored science fair held on the Observatory campus in November 2005, the opening of the James Cronin School in Malargue in November 2006, public lectures, school visits, and courses for science teachers. As the collaboration prepares the proposal for the northern Auger site foreseen to be in southeast Colorado, plans for a comprehensive outreach program are being developed in parallel, as described here.
astro-ph
the scale and scope of the physics studied at the auger observatory offer significant opportunities for original outreach work education outreach and public relations of the auger collaboration are coordinated in a task of its own whose goals are to encourage and support a wide range of efforts that link schools and the public with the auger scientists and the science of cosmic rays particle physics and associated technologies this report focuses on the impact of the collaboration in mendoza province argentina as the auger visitor center in malargue that has hosted over 29000 visitors since 2001 the auger celebration and a collaborationsponsored science fair held on the observatory campus in november 2005 the opening of the james cronin school in malargue in november 2006 public lectures school visits and courses for science teachers as the collaboration prepares the proposal for the northern auger site foreseen to be in southeast colorado plans for a comprehensive outreach program are being developed in parallel as described here
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707.3657
Pattern Formation without Favored Local Interactions
Individual cellular automata rules are attractive models for a range of biological and physical self-assembling systems. While coexpression and coevolution are common in such systems, ensembles of cellular automata rules remain poorly understood. Here we report the first known analysis of the equally weighted ensemble of all elementary cellular automata (ECA) rules. Ensemble dynamics reveal persistent, localized, non-interacting patterns, rather than homogenization. The patterns are strongly correlated by velocity and have a quasi-linear dependence on initial conditions. Dispersion from a single initial site generates peaks traveling at low-denominator fractional velocities, some of which are not discernible in individual rules, suggesting collective excitation. Further analysis of the time-evolved rule space shows the 256 ECA rules can be represented by only approximately 111 principal components. These results suggest the rather surprising conclusion that rich self-assembly is possible without favoring particular local interactions.
nlin.CG
individual cellular automata rules are attractive models for a range of biological and physical selfassembling systems while coexpression and coevolution are common in such systems ensembles of cellular automata rules remain poorly understood here we report the first known analysis of the equally weighted ensemble of all elementary cellular automata eca rules ensemble dynamics reveal persistent localized noninteracting patterns rather than homogenization the patterns are strongly correlated by velocity and have a quasilinear dependence on initial conditions dispersion from a single initial site generates peaks traveling at lowdenominator fractional velocities some of which are not discernible in individual rules suggesting collective excitation further analysis of the timeevolved rule space shows the 256 eca rules can be represented by only approximately 111 principal components these results suggest the rather surprising conclusion that rich selfassembly is possible without favoring particular local interactions
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707.3658
Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture
By deploying dense subalgebras of $\ell^1(G)$ we generalize the Bass conjecture in terms of Connes' cyclic homology theory. In particular, we propose a stronger version of the $\ell^1$-Bass Conjecture. We prove that hyperbolic groups relative to finitely many subgroups, each of which posses the polynomial conjugacy-bound property and nilpotent periodicity property, satisfy the $\ell^1$-Stronger-Bass Conjecture. Moreover, we determine the conjugacy-bound for relatively hyperbolic groups and compute the cyclic cohomology of the $\ell^1$-algebra of any discrete group.
math.KT
by deploying dense subalgebras of ell1g we generalize the bass conjecture in terms of connes cyclic homology theory in particular we propose a stronger version of the ell1bass conjecture we prove that hyperbolic groups relative to finitely many subgroups each of which posses the polynomial conjugacybound property and nilpotent periodicity property satisfy the ell1strongerbass conjecture moreover we determine the conjugacybound for relatively hyperbolic groups and compute the cyclic cohomology of the ell1algebra of any discrete group
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707.3659
The Cosmic Ray Observatory Project: A Statewide Outreach and Education Experiment in Nebraska
The Cosmic Ray Observatory Project (CROP) is a statewide education and research experiment involving Nebraska high school students, teachers and university undergraduates in the study of extensive cosmic-ray air showers. A network of high school teams construct, install, and operate school-based detectors in coordination with University of Nebraska physics professors and graduate students. The detector system at each school is an array of scintillation counters recycled from the Chicago Air Shower Array in weather-proof enclosures on the school roof, with a GPS receiver providing a time stamp for cosmic-ray events. The detectors are connected to triggering electronics and a data-acquisition PC inside the building. Students share data via the Internet to search for time coincidences with other sites. Funded by the National Science Foundation, CROP has enlisted 29 schools with the aim of expanding to the 314 high schools in the state over several years. This report highlights both the scientific and professional development achievements of the project to date.
astro-ph
the cosmic ray observatory project crop is a statewide education and research experiment involving nebraska high school students teachers and university undergraduates in the study of extensive cosmicray air showers a network of high school teams construct install and operate schoolbased detectors in coordination with university of nebraska physics professors and graduate students the detector system at each school is an array of scintillation counters recycled from the chicago air shower array in weatherproof enclosures on the school roof with a gps receiver providing a time stamp for cosmicray events the detectors are connected to triggering electronics and a dataacquisition pc inside the building students share data via the internet to search for time coincidences with other sites funded by the national science foundation crop has enlisted 29 schools with the aim of expanding to the 314 high schools in the state over several years this report highlights both the scientific and professional development achievements of the project to date
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707.366
Basic physics of solid materials
Since the cuprate materials behave many curious properties, the mechanism that causes high-temperature superconductivity in copper oxide materials (cuprates) has been a controversial topic. To explain these curious properties, we must look out the physics what these materials include. In this letter, it is presented that there are the basic physics (1)-(9) in solid materials. I divide all solid materials into four categories, explain some properties of them qualitatively, and suggest some ways to turn a solid material into a superconductor. Particularly, this letter discusses the differences between the p-type high-Tc cuprate superconductors, the n-type superconductor Nd2-xCexCuO4, the BCS-superconductor similar MgB2, and heavy Fermions superconductors.
cond-mat.supr-con
since the cuprate materials behave many curious properties the mechanism that causes hightemperature superconductivity in copper oxide materials cuprates has been a controversial topic to explain these curious properties we must look out the physics what these materials include in this letter it is presented that there are the basic physics 19 in solid materials i divide all solid materials into four categories explain some properties of them qualitatively and suggest some ways to turn a solid material into a superconductor particularly this letter discusses the differences between the ptype hightc cuprate superconductors the ntype superconductor nd2xcexcuo4 the bcssuperconductor similar mgb2 and heavy fermions superconductors
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707.3661
Neutrino mixing from the double tetrahedral group T^{\prime}
It is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete non-abelian group $T^{\prime}$ by itself. Two simple realizations are presented that can be used as the starting point for more general scenarios. In addition to the Minimal Supersymmetric Standard Model particle content, the models include three generations of right handed neutrinos and four scalar flavon fields. Three of the flavons are needed in the quark and charged lepton sector of the models and the fourth flavon participates only in the neutrino sector.
hep-ph
it is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete nonabelian group tprime by itself two simple realizations are presented that can be used as the starting point for more general scenarios in addition to the minimal supersymmetric standard model particle content the models include three generations of right handed neutrinos and four scalar flavon fields three of the flavons are needed in the quark and charged lepton sector of the models and the fourth flavon participates only in the neutrino sector
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707.3662
A Model of Neutrino and Higgs Physics at the Electroweak Scale
We present and explore the Higgs physics of a model that in addition to the Standard Model fields includes a lepton number violating singlet scalar field. Based on the fact that the only experimental data we have so far for physics beyond the Standard Model is that of neutrino physics, we impose a constraint for any addition not to introduce new higher scales. As such, we introduce right-handed neutrinos with an Electroweak Scale mass. We study the Higgs decay $H \to \nu \nu$ and show that it leads to different signatures compared to those in the Standard Model, making it possible to detect them and to probe the nature of their couplings.
hep-ph
we present and explore the higgs physics of a model that in addition to the standard model fields includes a lepton number violating singlet scalar field based on the fact that the only experimental data we have so far for physics beyond the standard model is that of neutrino physics we impose a constraint for any addition not to introduce new higher scales as such we introduce righthanded neutrinos with an electroweak scale mass we study the higgs decay h to nu nu and show that it leads to different signatures compared to those in the standard model making it possible to detect them and to probe the nature of their couplings
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707.3663
The Laplace transform of the digamma function: an integral due to Glasser, Manna and Oloa
We provide an analytic expression for the Laplace transform of the digamma fuction. This complements work of L. Glasser, D. Manna and O. Oloa on this question. The Laplace transform is continuous in the Laplace-variable a. The derivative admits a jump at a= ln 2.
math.CA
we provide an analytic expression for the laplace transform of the digamma fuction this complements work of l glasser d manna and o oloa on this question the laplace transform is continuous in the laplacevariable a the derivative admits a jump at a ln 2
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707.3664
High frequency dispersive estimates in dimension two
We prove dispersive estimates at high frequency in dimension two for both the wave and the Schrodinger groupes for a very large class of real-valued potentials.
math.AP
we prove dispersive estimates at high frequency in dimension two for both the wave and the schrodinger groupes for a very large class of realvalued potentials
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707.3665
A Comparative Study of Parallel Kinematic Architectures for Machining Applications
Parallel kinematic mechanisms are interesting alternative designs for machining applications. Three 2-DOF parallel mechanism architectures dedicated to machining applications are studied in this paper. The three mechanisms have two constant length struts gliding along fixed linear actuated joints with different relative orientation. The comparative study is conducted on the basis of a same prescribed Cartesian workspace for the three mechanisms. The common desired workspace properties are a rectangular shape and given kinetostatic performances. The machine size of each resulting design is used as a comparative criterion. The 2-DOF machine mechanisms analyzed in this paper can be extended to 3-axis machines by adding a third joint.
cs.RO
parallel kinematic mechanisms are interesting alternative designs for machining applications three 2dof parallel mechanism architectures dedicated to machining applications are studied in this paper the three mechanisms have two constant length struts gliding along fixed linear actuated joints with different relative orientation the comparative study is conducted on the basis of a same prescribed cartesian workspace for the three mechanisms the common desired workspace properties are a rectangular shape and given kinetostatic performances the machine size of each resulting design is used as a comparative criterion the 2dof machine mechanisms analyzed in this paper can be extended to 3axis machines by adding a third joint
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707.3666
Kinematic Analysis of a New Parallel Machine Tool: the Orthoglide
This paper describes a new parallel kinematic architecture for machining applications: the orthoglide. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform which moves in the Cartesian x-y-z space with fixed orientation. The main interest of the orthoglide is that it takes benefit from the advantages of the popular PPP serial machines (regular Cartesian workspace shape and uniform performances) as well as from the parallel kinematic arrangement of the links (less inertia and better dynamic performances), which makes the orthoglide well suited to high-speed machining applications. Possible extension of the orthoglide to 5-axis machining is also investigated.
cs.RO
this paper describes a new parallel kinematic architecture for machining applications the orthoglide this machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform which moves in the cartesian xyz space with fixed orientation the main interest of the orthoglide is that it takes benefit from the advantages of the popular ppp serial machines regular cartesian workspace shape and uniform performances as well as from the parallel kinematic arrangement of the links less inertia and better dynamic performances which makes the orthoglide well suited to highspeed machining applications possible extension of the orthoglide to 5axis machining is also investigated
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707.3667
p-adic Dedekind and Hardy-Berndt type sum related to Volkenborn Integral on Z_p
The purpose of this paper is to construct p-adic Dedekind sums and Hardy-Berndt type sums. We also construct generating function of the twisted Bernoulli polynomials and functions. Furthermore, we give some discussions on elliptic analogue of the Apostol-Dedekind sums.
math.NT
the purpose of this paper is to construct padic dedekind sums and hardyberndt type sums we also construct generating function of the twisted bernoulli polynomials and functions furthermore we give some discussions on elliptic analogue of the apostoldedekind sums
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707.3668
Interactions of a Light Hypersonic Jet with a Non-Uniform Interstellar Medium
We present three dimensional simulations of the interaction of a light hypersonic jet with an inhomogeneous thermal and turbulently supported disk in an elliptical galaxy. We model the jet as a light, supersonic non-relativistic flow with parameters selected to be consistent with a relativistic jet with kinetic power just above the FR1/FR2 break. We identify four generic phases in the evolution of such a jet with the inhomogeneous interstellar medium: 1) an initial ``flood and channel'' phase, where progress is characterized by high pressure gas finding changing weak points in the ISM, flowing through channels that form and re-form over time, 2) a spherical, energy-driven bubble phase, were the bubble is larger than the disk scale, but the jet remains fully disrupted close to the nucleus, 3) a rapid, jet break--out phase the where jet breaks free of the last dense clouds, becomes collimated and pierces the spherical bubble, and 4) a classical phase, the jet propagates in a momentum-dominated fashion leading to the classical jet + cocoon + bow-shock structure. Mass transport in the simulations is investigated, and we propose a model for the morphology and component proper motions in the well-studied Compact Symmetric Object 4C31.04.
astro-ph
we present three dimensional simulations of the interaction of a light hypersonic jet with an inhomogeneous thermal and turbulently supported disk in an elliptical galaxy we model the jet as a light supersonic nonrelativistic flow with parameters selected to be consistent with a relativistic jet with kinetic power just above the fr1fr2 break we identify four generic phases in the evolution of such a jet with the inhomogeneous interstellar medium 1 an initial flood and channel phase where progress is characterized by high pressure gas finding changing weak points in the ism flowing through channels that form and reform over time 2 a spherical energydriven bubble phase were the bubble is larger than the disk scale but the jet remains fully disrupted close to the nucleus 3 a rapid jet breakout phase the where jet breaks free of the last dense clouds becomes collimated and pierces the spherical bubble and 4 a classical phase the jet propagates in a momentumdominated fashion leading to the classical jet cocoon bowshock structure mass transport in the simulations is investigated and we propose a model for the morphology and component proper motions in the wellstudied compact symmetric object 4c3104
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707.3669
Interaction of Jets with the ISM of Radio Galaxies
We present three dimensional simulations of the interaction of a light hypersonic jet with an inhomogeneous thermal and turbulently supported disk in an elliptical galaxy, including Radio and multi-band X-ray visualisations. These simulations are applicable to the GPS/CSS phase of some extragalactic radio sources. We identify four generic phases in the evolution of such a jet with the interstellar medium. The first is a `flood and channel'' phase, dominated by complex jet interactions with the dense cloudy medium close to the nucleus. A spherical, energy driven, bubble phase follows, where the bubble is larger than the disk scale, but the jet remains fully disrupted close to the nucleus. Then in a rapid, jet break--out phase, the jet breaks free of the last obstructing dense clouds, becomes collimated and pierces the more or less spherical bubble. In the final classical phase, the jet propagates in a momentum-dominated fashion similar to jets in single component hot haloes, leading to the classical jet -- cocoon -- bow-shock structure.
astro-ph
we present three dimensional simulations of the interaction of a light hypersonic jet with an inhomogeneous thermal and turbulently supported disk in an elliptical galaxy including radio and multiband xray visualisations these simulations are applicable to the gpscss phase of some extragalactic radio sources we identify four generic phases in the evolution of such a jet with the interstellar medium the first is a flood and channel phase dominated by complex jet interactions with the dense cloudy medium close to the nucleus a spherical energy driven bubble phase follows where the bubble is larger than the disk scale but the jet remains fully disrupted close to the nucleus then in a rapid jet breakout phase the jet breaks free of the last obstructing dense clouds becomes collimated and pierces the more or less spherical bubble in the final classical phase the jet propagates in a momentumdominated fashion similar to jets in single component hot haloes leading to the classical jet cocoon bowshock structure
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707.367
Understanding the Characteristics of Internet Short Video Sharing: YouTube as a Case Study
Established in 2005, YouTube has become the most successful Internet site providing a new generation of short video sharing service. Today, YouTube alone comprises approximately 20% of all HTTP traffic, or nearly 10% of all traffic on the Internet. Understanding the features of YouTube and similar video sharing sites is thus crucial to their sustainable development and to network traffic engineering. In this paper, using traces crawled in a 3-month period, we present an in-depth and systematic measurement study on the characteristics of YouTube videos. We find that YouTube videos have noticeably different statistics compared to traditional streaming videos, ranging from length and access pattern, to their active life span, ratings, and comments. The series of datasets also allows us to identify the growth trend of this fast evolving Internet site in various aspects, which has seldom been explored before. We also look closely at the social networking aspect of YouTube, as this is a key driving force toward its success. In particular, we find that the links to related videos generated by uploaders' choices form a small-world network. This suggests that the videos have strong correlations with each other, and creates opportunities for developing novel caching or peer-to-peer distribution schemes to efficiently deliver videos to end users.
cs.NI cs.MM
established in 2005 youtube has become the most successful internet site providing a new generation of short video sharing service today youtube alone comprises approximately 20 of all http traffic or nearly 10 of all traffic on the internet understanding the features of youtube and similar video sharing sites is thus crucial to their sustainable development and to network traffic engineering in this paper using traces crawled in a 3month period we present an indepth and systematic measurement study on the characteristics of youtube videos we find that youtube videos have noticeably different statistics compared to traditional streaming videos ranging from length and access pattern to their active life span ratings and comments the series of datasets also allows us to identify the growth trend of this fast evolving internet site in various aspects which has seldom been explored before we also look closely at the social networking aspect of youtube as this is a key driving force toward its success in particular we find that the links to related videos generated by uploaders choices form a smallworld network this suggests that the videos have strong correlations with each other and creates opportunities for developing novel caching or peertopeer distribution schemes to efficiently deliver videos to end users
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707.3671
New method for the study of psychotropic drug effects under simulated clinical conditions
The sensory contact model allows forming different psychopathological states (anxious depression, catalepsy, social withdrawal, pathological aggression, hypersensitivity, cognition disturbances, anhedonia, alcoholism etc.) produced by repeated agonistic interactions in male mice and investigating the therapeutic and preventive properties of any drug as well as its efficiency under simulated clinical conditions. This approach can be useful for a better understanding of the drugs' action in different stages of disease development in individuals. It is suggested that this pharmacological approach may be applied for the screening of different novel psychotropic drugs.
q-bio.OT q-bio.QM
the sensory contact model allows forming different psychopathological states anxious depression catalepsy social withdrawal pathological aggression hypersensitivity cognition disturbances anhedonia alcoholism etc produced by repeated agonistic interactions in male mice and investigating the therapeutic and preventive properties of any drug as well as its efficiency under simulated clinical conditions this approach can be useful for a better understanding of the drugs action in different stages of disease development in individuals it is suggested that this pharmacological approach may be applied for the screening of different novel psychotropic drugs
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707.3672
Products of irreducible random matrices in the (Max,+) Algebra
We consider the recursive equation ``x(n+1)=A(n)x(n)'' where x(n+1) and x(n) are column vectors of size k and where A(n) is an irreducible random matrix of size k x k. The matrix-vector multiplication in the (max,+) algebra is defined by (A(n)x(n))_i= max_j [ A(n)_{ij} +x(n)_j ]. This type of equation can be used to represent the evolution of Stochastic Event Graphs which include cyclic Jackson Networks, some manufacturing models and models with general blocking (such as Kanban). Let us assume that the sequence (A(n))_n is i.i.d or more generally stationary and ergodic. The main result of the paper states that the system couples in finite time with a unique stationary regime if and only if there exists a set of matrices C such that P {A(0) in C} > 0, and the matrices in C have a unique periodic regime.
cs.OH
we consider the recursive equation xn1anxn where xn1 and xn are column vectors of size k and where an is an irreducible random matrix of size k x k the matrixvector multiplication in the max algebra is defined by anxn_i max_j an_ij xn_j this type of equation can be used to represent the evolution of stochastic event graphs which include cyclic jackson networks some manufacturing models and models with general blocking such as kanban let us assume that the sequence an_n is iid or more generally stationary and ergodic the main result of the paper states that the system couples in finite time with a unique stationary regime if and only if there exists a set of matrices c such that p a0 in c 0 and the matrices in c have a unique periodic regime
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707.3673
The Computation of All 4R Serial Spherical Wrists With an Isotropic Architecture
A spherical wrist of the serial type is said to be isotropic if it can attain a posture whereby the singular values of its Jacobian matrix are all identical and nonzero. What isotropy brings about is robustness to manufacturing, assembly, and measurement errors, thereby guaranteeing a maximum orientation accuracy. In this paper we investigate the existence of redundant isotropic architectures, which should add to the dexterity of the wrist under design by virtue of its extra degree of freedom. The problem formulation leads to a system of eight quadratic equations with eight unknowns. The Bezout number of this system is thus 2^8 = 256, its BKK bound being 192. However, the actual number of solutions is shown to be 32. We list all solutions of the foregoing algebraic problem. All these solutions are real, but distinct solutions do not necessarily lead to distinct manipulators. Upon discarding those algebraic solutions that yield no new wrists, we end up with exactly eight distinct architectures, the eight corresponding manipulators being displayed at their isotropic posture.
cs.RO
a spherical wrist of the serial type is said to be isotropic if it can attain a posture whereby the singular values of its jacobian matrix are all identical and nonzero what isotropy brings about is robustness to manufacturing assembly and measurement errors thereby guaranteeing a maximum orientation accuracy in this paper we investigate the existence of redundant isotropic architectures which should add to the dexterity of the wrist under design by virtue of its extra degree of freedom the problem formulation leads to a system of eight quadratic equations with eight unknowns the bezout number of this system is thus 28 256 its bkk bound being 192 however the actual number of solutions is shown to be 32 we list all solutions of the foregoing algebraic problem all these solutions are real but distinct solutions do not necessarily lead to distinct manipulators upon discarding those algebraic solutions that yield no new wrists we end up with exactly eight distinct architectures the eight corresponding manipulators being displayed at their isotropic posture
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707.3674
Observation of inhomogeneous domain nucleation in epitaxial Pb(Zr,Ti)O3 capacitors
We investigated domain nucleation process in epitaxial Pb(Zr,Ti)O3 capacitors under a modified piezoresponse force microscope. We obtained domain evolution images during polarization switching process and observed that domain nucleation occurs at particular sites. This inhomogeneous nucleation process should play an important role in an early stage of switching and under a high electric field. We found that the number of nuclei is linearly proportional to log(switching time), suggesting a broad distribution of activation energies for nucleation. The nucleation sites for a positive bias differ from those for a negative bias, indicating that most nucleation sites are located at ferroelectric/electrode interfaces.
cond-mat.mtrl-sci
we investigated domain nucleation process in epitaxial pbzrtio3 capacitors under a modified piezoresponse force microscope we obtained domain evolution images during polarization switching process and observed that domain nucleation occurs at particular sites this inhomogeneous nucleation process should play an important role in an early stage of switching and under a high electric field we found that the number of nuclei is linearly proportional to logswitching time suggesting a broad distribution of activation energies for nucleation the nucleation sites for a positive bias differ from those for a negative bias indicating that most nucleation sites are located at ferroelectricelectrode interfaces
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707.3675
Electronic structure of unidirectional superlattices in crossed electric and magnetic fields and related terahertz oscillations
We have studied Bloch electrons in a perfect unidirectional superlattice subject to crossed electric and magnetic fields, where the magnetic field is oriented ``in-plane'', i.e. in parallel to the sample plane. Two orientation of the electric field are considered. It is shown that the magnetic field suppresses the intersubband tunneling of the Zener type, but does not change the frequency of Bloch oscillations, if the electric field is oriented perpendicularly to both the sample plane and the magnetic field. The electric field applied in-plane (but perpendicularly to the magnetic field) yields the step-like electron energy spectrum, corresponding to the magnetic-field-tunable oscillations alternative to the Bloch ones.
cond-mat.mtrl-sci cond-mat.mes-hall
we have studied bloch electrons in a perfect unidirectional superlattice subject to crossed electric and magnetic fields where the magnetic field is oriented inplane ie in parallel to the sample plane two orientation of the electric field are considered it is shown that the magnetic field suppresses the intersubband tunneling of the zener type but does not change the frequency of bloch oscillations if the electric field is oriented perpendicularly to both the sample plane and the magnetic field the electric field applied inplane but perpendicularly to the magnetic field yields the steplike electron energy spectrum corresponding to the magneticfieldtunable oscillations alternative to the bloch ones
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707.3676
Paramagnetic to Superparamagnetic Transition in Ni(OH)_2 Nanoparticles
We report the temperature and field dependence of dc magnetization on sol-gel prepared nanoparticles of Ni(OH)_2. At higher temperature the system is found to behave as a paramagnet while we find evidence for superparamagnetic blocking at low temperature. The system shows a paramagnet-superparamagnet transition and we discuss the underlying mechanism.
cond-mat.mes-hall
we report the temperature and field dependence of dc magnetization on solgel prepared nanoparticles of nioh_2 at higher temperature the system is found to behave as a paramagnet while we find evidence for superparamagnetic blocking at low temperature the system shows a paramagnetsuperparamagnet transition and we discuss the underlying mechanism
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707.3677
General Relativistic effects on the conversion of nuclear to two-flavour quark matter in compact stars
We investigate the General Relativistic (GR) effects on the conversion from nuclear to two-flavour quark matter in compact stars, both static as well as rotating. We find that GR effects lead to qualitative differences in rotating stars, indicating the inadequacy of non-relativistic (NR) or even Special Relativistic (SR) treatments for these cases.
astro-ph
we investigate the general relativistic gr effects on the conversion from nuclear to twoflavour quark matter in compact stars both static as well as rotating we find that gr effects lead to qualitative differences in rotating stars indicating the inadequacy of nonrelativistic nr or even special relativistic sr treatments for these cases
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707.3678
Spin Networks and Anyonic Topological Computing II
We review the q-deformed spin network approach to topological quantum field theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups. The simplest case of these models is the Fibonacci model, itself universal for quantum computation. We here formulate these braid group representations in a shape suitable for computation and algebraic work.
quant-ph
we review the qdeformed spin network approach to topological quantum field theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups the simplest case of these models is the fibonacci model itself universal for quantum computation we here formulate these braid group representations in a shape suitable for computation and algebraic work
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707.3679
Measurement of the radiative neutron capture cross section of 206Pb and its astrophysical implications
The (n, gamma) cross section of 206Pb has been measured at the CERN n_TOF facility with high resolution in the energy range from 1 eV to 600 keV by using two optimized C6D6 detectors. In the investigated energy interval about 130 resonances could be observed, from which 61 had enough statistics to be reliably analyzed via the R-matrix analysis code SAMMY. Experimental uncertainties were minimized, in particular with respect to (i) angular distribution effects of the prompt capture gamma-rays, and to (ii) the TOF-dependent background due to sample-scattered neutrons. Other background components were addressed by background measurements with an enriched 208Pb sample. The effect of the lower energy cutoff in the pulse height spectra of the C6D6 detectors was carefully corrected via Monte Carlo simulations. Compared to previous 206Pb values, the Maxwellian averaged capture cross sections derived from these data are about 20% and 9% lower at thermal energies of 5 keV and 30 keV, respectively. These new results have a direct impact on the s-process abundance of 206Pb, which represents an important test for the interpretation of the cosmic clock based on the decay of 238U.
nucl-ex
the n gamma cross section of 206pb has been measured at the cern n_tof facility with high resolution in the energy range from 1 ev to 600 kev by using two optimized c6d6 detectors in the investigated energy interval about 130 resonances could be observed from which 61 had enough statistics to be reliably analyzed via the rmatrix analysis code sammy experimental uncertainties were minimized in particular with respect to i angular distribution effects of the prompt capture gammarays and to ii the tofdependent background due to samplescattered neutrons other background components were addressed by background measurements with an enriched 208pb sample the effect of the lower energy cutoff in the pulse height spectra of the c6d6 detectors was carefully corrected via monte carlo simulations compared to previous 206pb values the maxwellian averaged capture cross sections derived from these data are about 20 and 9 lower at thermal energies of 5 kev and 30 kev respectively these new results have a direct impact on the sprocess abundance of 206pb which represents an important test for the interpretation of the cosmic clock based on the decay of 238u
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707.368
Sub-Poissonian phononic population in a nanoelectromechanical system
Population of a phononic mode coupled to a single-electron transistor in the sequential tunneling regime is discussed for the experimentally realistic case of intermediate electron-phonon coupling. Features like a sub-Poissonian bosonic distribution are found in regimes where electron transport drives the oscillator strongly out of equilibrium with only few phonon states selectively populated. The electron Fano factor is compared to fluctuations in the phonon distribution, showing that all possible combinations of sub- and super-Poissonian character can be realized.
cond-mat.mes-hall
population of a phononic mode coupled to a singleelectron transistor in the sequential tunneling regime is discussed for the experimentally realistic case of intermediate electronphonon coupling features like a subpoissonian bosonic distribution are found in regimes where electron transport drives the oscillator strongly out of equilibrium with only few phonon states selectively populated the electron fano factor is compared to fluctuations in the phonon distribution showing that all possible combinations of sub and superpoissonian character can be realized
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707.3681
On Consistency Of Noncommutative Chern-Simons Theory
We consider the noncommutative extension of Chern-Simons theory. We show the the theory can be fully expanded in power series of the noncommutative parameter theta and that no non-analytical sector exists. The theory appears to be unstable under radiative corrections, but we show that the infinite set of instabilities, to all orders in \hbar and in theta, is confined to a BRS exact cocycle. We show also that the theory is anomaly free. The quantum theory cannot be written in terms of the Groenewald-Moyal star product, and hence doubts arise on the interpretation of the noncommutative nature of the underlying spacetime. Nonetheless, the deformed theory is well defined as a quantum field theory, and the beta function of the Chern-Simons coupling constant vanishes, as in the ordinary Chern-Simons theory.
hep-th
we consider the noncommutative extension of chernsimons theory we show the the theory can be fully expanded in power series of the noncommutative parameter theta and that no nonanalytical sector exists the theory appears to be unstable under radiative corrections but we show that the infinite set of instabilities to all orders in hbar and in theta is confined to a brs exact cocycle we show also that the theory is anomaly free the quantum theory cannot be written in terms of the groenewaldmoyal star product and hence doubts arise on the interpretation of the noncommutative nature of the underlying spacetime nonetheless the deformed theory is well defined as a quantum field theory and the beta function of the chernsimons coupling constant vanishes as in the ordinary chernsimons theory
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707.3682
On the p-adic Beilinson conjecture for number fields
We formulate a conjectural p-adic analogue of Borel's theorem relating regulators for higher K-groups of number fields to special values of the corresponding zeta-functions, using syntomic regulators and p-adic L-functions. We also formulate a corresponding conjecture for Artin motives, and state a conjecture about the precise relation between the p-adic and classical situations. Parts of he conjectures are proved when the number field (or Artin motive) is Abelian over the rationals, and all conjectures are verified numerically in some other cases.
math.KT math.NT
we formulate a conjectural padic analogue of borels theorem relating regulators for higher kgroups of number fields to special values of the corresponding zetafunctions using syntomic regulators and padic lfunctions we also formulate a corresponding conjecture for artin motives and state a conjecture about the precise relation between the padic and classical situations parts of he conjectures are proved when the number field or artin motive is abelian over the rationals and all conjectures are verified numerically in some other cases
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707.3683
Theory of Ultrasonic Dispersion in Local Phonon Systems Coupled with Conduction Electrons
The physical origin of frequency dependence in elastic constants, which are often found in an ultrasound propagation in filled skutterudites and clathrate compounds, is investigated theoretically. This dependence arises from a coupling between the acoustic phonon and some optical phonons, which strongly interact with electrons. Using a self-consistent ladder approximation together with a pseudofermion mapping of the phonon to the single site Holstein Anderson model, a soft mode of the optical phonon at zero frequency is shown to emerge. The temperature dependence of the spectral weight of this soft mode shows an activation-type behavior, which is characterized by the optical phonon frequency. These features can generate the frequency dependence and the shoulder in the elastic constants observed in some filled skutterudites and clathrate compounds.
cond-mat.str-el
the physical origin of frequency dependence in elastic constants which are often found in an ultrasound propagation in filled skutterudites and clathrate compounds is investigated theoretically this dependence arises from a coupling between the acoustic phonon and some optical phonons which strongly interact with electrons using a selfconsistent ladder approximation together with a pseudofermion mapping of the phonon to the single site holstein anderson model a soft mode of the optical phonon at zero frequency is shown to emerge the temperature dependence of the spectral weight of this soft mode shows an activationtype behavior which is characterized by the optical phonon frequency these features can generate the frequency dependence and the shoulder in the elastic constants observed in some filled skutterudites and clathrate compounds
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707.3684
Harmonic entanglement in a degenerate parametric down conversion
We study the harmonic entanglement and squeezing in a two-mode radiation produced in a degenerate parametric down conversion process coupled to a two-mode vacuum reservoir employing the linearization procedure. It is found that there is a quadrature entanglement between the harmonically related fundamental and second-harmonic modes and the superimposed radiation exhibits a significant two-mode squeezing. The entanglement exits even when there is no two-mode squeezing, since the correlation leading to these phenomena are essentially different. In addition, the more the external coherent light is down converted, the more stronger the entanglement and mean photon number of the two-mode radiation would be which is not generally true for squeezing.
quant-ph
we study the harmonic entanglement and squeezing in a twomode radiation produced in a degenerate parametric down conversion process coupled to a twomode vacuum reservoir employing the linearization procedure it is found that there is a quadrature entanglement between the harmonically related fundamental and secondharmonic modes and the superimposed radiation exhibits a significant twomode squeezing the entanglement exits even when there is no twomode squeezing since the correlation leading to these phenomena are essentially different in addition the more the external coherent light is down converted the more stronger the entanglement and mean photon number of the twomode radiation would be which is not generally true for squeezing
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707.3685
Pilot-wave theory and quantum fields
Pilot-wave theories provide possible solutions to the measurement problem. In such theories, quantum systems are not only described by the state vector, but also by some additional variables. These additional variables, also called beables, can be particle positions, field configurations, strings, etc. In this paper we focus our attention on pilot-wave theories in which the additional variables are field configurations. The first such theory was proposed by Bohm for the free electromagnetic field. Since Bohm, similar pilot-wave theories have been proposed for other quantum fields. The purpose of this paper is to present an overview and further development of these proposals. We discuss various bosonic quantum field theories such as the Schroedinger field, the free electromagnetic field, scalar quantum electrodynamics and the Abelian Higgs model. In particular, we compare the pilot-wave theories proposed by Bohm and by Valentini for the electromagnetic field, finding that they are equivalent. We further discuss the proposals for fermionic fields by Holland and Valentini. In the case of Holland's model we indicate that further work is required in order to show that the model is capable of reproducing the standard quantum predictions. We also consider a similar model, which does not seem to reproduce the standard quantum predictions. In the case of Valentini's model we point out a problem that seems hard to overcome.
quant-ph hep-th
pilotwave theories provide possible solutions to the measurement problem in such theories quantum systems are not only described by the state vector but also by some additional variables these additional variables also called beables can be particle positions field configurations strings etc in this paper we focus our attention on pilotwave theories in which the additional variables are field configurations the first such theory was proposed by bohm for the free electromagnetic field since bohm similar pilotwave theories have been proposed for other quantum fields the purpose of this paper is to present an overview and further development of these proposals we discuss various bosonic quantum field theories such as the schroedinger field the free electromagnetic field scalar quantum electrodynamics and the abelian higgs model in particular we compare the pilotwave theories proposed by bohm and by valentini for the electromagnetic field finding that they are equivalent we further discuss the proposals for fermionic fields by holland and valentini in the case of hollands model we indicate that further work is required in order to show that the model is capable of reproducing the standard quantum predictions we also consider a similar model which does not seem to reproduce the standard quantum predictions in the case of valentinis model we point out a problem that seems hard to overcome
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707.3686
Quantum optics of spatial transformation media
Transformation media are at the heart of invisibility devices, perfect lenses and artificial black holes. In this paper, we consider their quantum theory. We show how transformation media map quantum electromagnetism in physical space to QED in empty flat space.
quant-ph
transformation media are at the heart of invisibility devices perfect lenses and artificial black holes in this paper we consider their quantum theory we show how transformation media map quantum electromagnetism in physical space to qed in empty flat space
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707.3687
$S_t^1\times S_s^1$-valued lightcone Gauss map of a Lorentzian surface in semi-Euclidean 4-space
We define the notions of $S_t^1\times S_s^1$-valued lightcone Gauss maps, lightcone pedal surface and Lorentzian lightcone height function of Lorentzian surface in semi-Euclidean 4-space and established the relationships between singularities of these objects and geometric invariants of the surface as applications of standard techniques of singularity theory for the Lorentzian lightcone height function.
math.DG math.SG
we define the notions of s_t1times s_s1valued lightcone gauss maps lightcone pedal surface and lorentzian lightcone height function of lorentzian surface in semieuclidean 4space and established the relationships between singularities of these objects and geometric invariants of the surface as applications of standard techniques of singularity theory for the lorentzian lightcone height function
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707.3688
Combined fixed-order and effective-theory approach to $b \bar{b}$ sum rules
We combine the fixed-order evaluation of the $b\bar{b}$ sum rules with a non-relativistic effective-theory approach. The combined result for the $n$-th moment includes all terms suppressed with respect to the leading-order result by ${\cal O}(\alpha_s^3)$ and ${\cal O}((\alpha_s \sqrt{n})^l \alpha_s^2)$, counting $\alpha_s \sqrt{n} \sim 1$. When compared to experimental data, the moments thus obtained show a remarkable consistency and allow for an analysis in the whole range $1\le n\lesssim 16$.
hep-ph
we combine the fixedorder evaluation of the bbarb sum rules with a nonrelativistic effectivetheory approach the combined result for the nth moment includes all terms suppressed with respect to the leadingorder result by cal oalpha_s3 and cal oalpha_s sqrtnl alpha_s2 counting alpha_s sqrtn sim 1 when compared to experimental data the moments thus obtained show a remarkable consistency and allow for an analysis in the whole range 1le nlesssim 16
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707.3689
Parametrizations of triaxial deformation and E2 transitions of the wobbling band
By the very definition the triaxial deformation parameter $\gamma$ is related to the expectation values of the K=0 and K=2 components of the intrinsic quadrupole tensor operator. On the other hand, using the same symbol "$\gamma$", various different parametrizations of triaxial deformation have been employed, which are suitable for various types of the mean-field potentials. It is pointed out that the values of various "$\gamma$" are quite different for the same actual triaxial deformation, especially for the large deformation; for example, the difference can be almost a factor two for the case of the triaxial superdeformed bands recently observed in the Hf and Lu nuclei. In our previous work, we have studied the wobbling band in Lu nuclei by using the microscopic framework of the cranked Nilsson mean-field and the random phase approximation, where the most serious problem is that the calculated B(E2) value is about factor two smaller. It is shown that the origin of this underestimation can be mainly attributed to the small triaxial deformation; if is used the same triaxial deformation as in the analysis of the particle-rotor model, the calculated B(E2) increases and gives correct magnitude compared with the experimental data.
nucl-th
by the very definition the triaxial deformation parameter gamma is related to the expectation values of the k0 and k2 components of the intrinsic quadrupole tensor operator on the other hand using the same symbol gamma various different parametrizations of triaxial deformation have been employed which are suitable for various types of the meanfield potentials it is pointed out that the values of various gamma are quite different for the same actual triaxial deformation especially for the large deformation for example the difference can be almost a factor two for the case of the triaxial superdeformed bands recently observed in the hf and lu nuclei in our previous work we have studied the wobbling band in lu nuclei by using the microscopic framework of the cranked nilsson meanfield and the random phase approximation where the most serious problem is that the calculated be2 value is about factor two smaller it is shown that the origin of this underestimation can be mainly attributed to the small triaxial deformation if is used the same triaxial deformation as in the analysis of the particlerotor model the calculated be2 increases and gives correct magnitude compared with the experimental data
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707.369
Virus Structure: From Crick and Watson to a New Conjecture
We conjecture that certain patterns (scars), theoretically and numerically predicted to be formed by electrons arranged on a sphere to minimize the repulsive Coulomb potential (the Thomson problem) and experimentally found in spherical crystals formed by self-assembled polystyrene beads (an instance of the generalized Thomson problem), could be relevant to extend the classic Caspar and Klug construction for icosahedrally-shaped virus capsids. The main idea is that scars could be produced at an intermediate stage of the assembly of the virus capsids and the release of the bending energy present in scars into stretching energy could allow for a variety of non-spherical capsids' shapes. The conjecture can be tested in experiments on the assembly of artificial protein-cages where these scars should appear.
q-bio.QM cond-mat.mtrl-sci cond-mat.soft math-ph math.MP
we conjecture that certain patterns scars theoretically and numerically predicted to be formed by electrons arranged on a sphere to minimize the repulsive coulomb potential the thomson problem and experimentally found in spherical crystals formed by selfassembled polystyrene beads an instance of the generalized thomson problem could be relevant to extend the classic caspar and klug construction for icosahedrallyshaped virus capsids the main idea is that scars could be produced at an intermediate stage of the assembly of the virus capsids and the release of the bending energy present in scars into stretching energy could allow for a variety of nonspherical capsids shapes the conjecture can be tested in experiments on the assembly of artificial proteincages where these scars should appear
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707.3691
Strong first-order phase transition in a rotating neutron star core and the associated energy release
We calculate the energy release associated with a strong first-order phase transition, from normal phase N to an "exotic" superdense phase S, in a rotating neutron star. Such a phase transition, accompanied by a density jump rho_N --> rho_S, is characterized by rho_S/rho_N > 3/2(1+P_0/rho_N c^2), where P_0 is the pressure, at which phase transition occurs. Configurations with small S-phase cores are then unstable and collapse into stars with large S-phase cores. The energy release is equal to the difference in mass-energies between the initial (normal) configuration and the final configuration containing an S-phase core, total stellar baryon mass and angular momentum being kept constant. The calculations of the energy release are based on precise numerical 2-D calculations. Polytropic equations of state (EOSs) as well as realistic EOS with strong first-order phase transition due to kaon condensation are used. For polytropic EOSs, a large parameter space is studied. For a fixed "overpressure", dP, defined as the relative excess of central pressure of collapsing metastable star over the pressure of equilibrium first-order phase transition, the energy release E_rel does not depend on the stellar angular momentum. It coincides with that for nonrotating stars with the same dP. Therefore, results of 1-D calculations of E_rel(dP) for non-rotating stars can be used to predict, with very high precision, the outcome of much harder to perform 2-D calculations for rotating stars with the same dP. This result holds also for dP_min < dP < 0, corresponding to phase transitions with climbing over the energy barrier separating metastable N-phase configurations from those with an S-phase core. Such phase transitions could be realized in the cores of newly born, hot, pulsating neutron stars.
astro-ph
we calculate the energy release associated with a strong firstorder phase transition from normal phase n to an exotic superdense phase s in a rotating neutron star such a phase transition accompanied by a density jump rho_n rho_s is characterized by rho_srho_n 321p_0rho_n c2 where p_0 is the pressure at which phase transition occurs configurations with small sphase cores are then unstable and collapse into stars with large sphase cores the energy release is equal to the difference in massenergies between the initial normal configuration and the final configuration containing an sphase core total stellar baryon mass and angular momentum being kept constant the calculations of the energy release are based on precise numerical 2d calculations polytropic equations of state eoss as well as realistic eos with strong firstorder phase transition due to kaon condensation are used for polytropic eoss a large parameter space is studied for a fixed overpressure dp defined as the relative excess of central pressure of collapsing metastable star over the pressure of equilibrium firstorder phase transition the energy release e_rel does not depend on the stellar angular momentum it coincides with that for nonrotating stars with the same dp therefore results of 1d calculations of e_reldp for nonrotating stars can be used to predict with very high precision the outcome of much harder to perform 2d calculations for rotating stars with the same dp this result holds also for dp_min dp 0 corresponding to phase transitions with climbing over the energy barrier separating metastable nphase configurations from those with an sphase core such phase transitions could be realized in the cores of newly born hot pulsating neutron stars
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707.3692
Electron magnetotransport in GaAs/AlGaAs superlattices with weak and strong inter-well coupling
We report on magnetotransport measurements in two MBE-grown GaAs/AlGaAs superlattices formed by wide and narrow quantum wells and thin Si-doped barriers subject to tilted magnetic fields. It has been shown that illumination of the strongly coupled superlattice with narrow wells leads to reduction of its dimensionality from the 3D to 2D. The illumination-induced transition is revealed by remarkable change of magnetoresistance curves as compared to those measured before illumination. The experimental data along with tight-binding model calculations indicate that the illumination not only enhances the electron concentration but also suppresses the electron tunneling through the barriers.
cond-mat.mes-hall cond-mat.other
we report on magnetotransport measurements in two mbegrown gaasalgaas superlattices formed by wide and narrow quantum wells and thin sidoped barriers subject to tilted magnetic fields it has been shown that illumination of the strongly coupled superlattice with narrow wells leads to reduction of its dimensionality from the 3d to 2d the illuminationinduced transition is revealed by remarkable change of magnetoresistance curves as compared to those measured before illumination the experimental data along with tightbinding model calculations indicate that the illumination not only enhances the electron concentration but also suppresses the electron tunneling through the barriers
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707.3693
Thermodynamic model of interaction of small ligands with DNA
We have managed to correlate the stability constants of complex formation, which can be registered in equilibrium state, to the dynamic characteristic of the complex lifetime. Thus, the principal concept of molecular biophysics regarding biomolecule, structure-dynamics-function can be reformatted as structure-stability-function. It should be specially noted that such an approach highly simplifies end widens the time interval of investigation of dynamic characteristics of macromolecules. Study of hydration energy and hydration number by kinetic curves of water desorption from Na-DNA humidified fibers by glow discharge atomic spectral analysis of hydrogen allowed us to reveal that after transition of DNA from B form to unordered state the activation energy of hydrated water desorption increases by 0.65kcal/Mole of water. This increase of energy is 0.1 kcal/Mole for transition from B to C form (from 20 to 10 water molecules per nucleotide) and 0.55 kcal/Mole for the one from C form to A unordered state (from 10 to 5 molecules per nucleotide). Simultaneous use of UDS and AES allows identifying the number of Wrong Watson-Crick pairs in DNA. The quantitative analysis is based on increase of informativity of UDS via its combination with atomic-emission spectroscopy. The number of the total metal-induced tautomerization makes six hundred per million base pairs of DNA. Such approach enables estimation of risk factors during clinical check-ups and evaluation of DNA suitability for nanotechnological purposes.
physics.bio-ph
we have managed to correlate the stability constants of complex formation which can be registered in equilibrium state to the dynamic characteristic of the complex lifetime thus the principal concept of molecular biophysics regarding biomolecule structuredynamicsfunction can be reformatted as structurestabilityfunction it should be specially noted that such an approach highly simplifies end widens the time interval of investigation of dynamic characteristics of macromolecules study of hydration energy and hydration number by kinetic curves of water desorption from nadna humidified fibers by glow discharge atomic spectral analysis of hydrogen allowed us to reveal that after transition of dna from b form to unordered state the activation energy of hydrated water desorption increases by 065kcalmole of water this increase of energy is 01 kcalmole for transition from b to c form from 20 to 10 water molecules per nucleotide and 055 kcalmole for the one from c form to a unordered state from 10 to 5 molecules per nucleotide simultaneous use of uds and aes allows identifying the number of wrong watsoncrick pairs in dna the quantitative analysis is based on increase of informativity of uds via its combination with atomicemission spectroscopy the number of the total metalinduced tautomerization makes six hundred per million base pairs of dna such approach enables estimation of risk factors during clinical checkups and evaluation of dna suitability for nanotechnological purposes
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707.3694
On singular Calogero-Moser spaces
Using combinatorial properties of complex reflection groups, we show that the generalised Calogero-Moser space associated to the centre of the corresponding rational Cherednik algebra is singular for all values of its deformation parameter c if and only if the group is different from the wreath product $S_n\wr C_m$ and the binary tetrahedral group. This result and a theorem of Ginzburg and Kaledin imply that there does not exist a symplectic resolution of the singular symplectic variety h+h*/W outside of these cases; conversely we show that there exists a symplectic resolution for the binary tetrahedral group (Hilbert schemes provide resolutions for the wreath product case).
math.RT math.AG math.RA
using combinatorial properties of complex reflection groups we show that the generalised calogeromoser space associated to the centre of the corresponding rational cherednik algebra is singular for all values of its deformation parameter c if and only if the group is different from the wreath product s_nwr c_m and the binary tetrahedral group this result and a theorem of ginzburg and kaledin imply that there does not exist a symplectic resolution of the singular symplectic variety hhw outside of these cases conversely we show that there exists a symplectic resolution for the binary tetrahedral group hilbert schemes provide resolutions for the wreath product case
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707.3695
Weak values of electron spin in a double quantum dot
We propose a protocol for a controlled experiment to measure a weak value of the electron's spin in a solid state device. The weak value is obtained by a two step procedure -- weak measurement followed by a strong one (post-selection), where the outcome of the first measurement is kept provided a second post-selected outcome occurs. The set-up consists of a double quantum dot and a weakly coupled quantum point contact to be used as a detector. Anomalously large values of the spin of a two electron system are predicted, as well as negative values of the total spin. We also show how to incorporate the adverse effect of decoherence into this procedure.
cond-mat.mes-hall cond-mat.str-el
we propose a protocol for a controlled experiment to measure a weak value of the electrons spin in a solid state device the weak value is obtained by a two step procedure weak measurement followed by a strong one postselection where the outcome of the first measurement is kept provided a second postselected outcome occurs the setup consists of a double quantum dot and a weakly coupled quantum point contact to be used as a detector anomalously large values of the spin of a two electron system are predicted as well as negative values of the total spin we also show how to incorporate the adverse effect of decoherence into this procedure
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707.3696
Towards journalometrical analysis of a scientific periodical: a case study
In this paper we use several approaches to analyse a scientific journal as a complex system and to make a possibly more complete description of its current state and evolution. Methods of complex networks theory, statistics, and queueing theory are used in this study. As a subject of the analysis we have chosen the journal ``Condensed Matter Physics'' (http://www.icmp.lviv.ua/journal/). In particular, based on the statistical data regarding the papers published in this journal since its foundation in 1993 up to now we have composed the co-authorship network and extracted its main quantitative characteristics. Further, we analyse the priorities of scientific trends reflected in the journal and its impact on the publications in other editions (the citation ratings). Moreover, to characterize an efficiency of the paper processing, we study the time dynamics of editorial processing in terms of queueing theory and human activity analysis.
physics.data-an physics.soc-ph
in this paper we use several approaches to analyse a scientific journal as a complex system and to make a possibly more complete description of its current state and evolution methods of complex networks theory statistics and queueing theory are used in this study as a subject of the analysis we have chosen the journal condensed matter physics httpwwwicmplvivuajournal in particular based on the statistical data regarding the papers published in this journal since its foundation in 1993 up to now we have composed the coauthorship network and extracted its main quantitative characteristics further we analyse the priorities of scientific trends reflected in the journal and its impact on the publications in other editions the citation ratings moreover to characterize an efficiency of the paper processing we study the time dynamics of editorial processing in terms of queueing theory and human activity analysis
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707.3697
Chromoelectric response functions for quark-gluon plasma
We determine the chromoelectric response of quark-gluon plasma (QGP) systematically within the framework of classical transport equations. The transport equations are set up in the phase space which includes the SU(3) group space corresponding to color (which is a dynamical degree of freedom), in addition to the position - momentum variables. The distribution functions are defined by projecting the density operators for the quarks and the gluons to their respective coherent states (defined over the extended phase space). The full import of the Yang-Mills(YM) dynamics is shown to manifest through the emergence of an intrinsic nonlinear, nonlocal response, whose behavior we determine in the long wavelength limit. It also manifests as a tensor response which is a characteristic of gluons. The response functions are shown to have a natural interpretation in terms of the renormalizations of the Abelian and the non-Abelian coupling constants. A detailed analysis of the screening of heavy quark potential and of the exact role played by the Debye mass screening in the case of the Cornell potential, is performed. We also discuss the non-Abelian contribution to Landau damping in QGP.
nucl-th hep-ph
we determine the chromoelectric response of quarkgluon plasma qgp systematically within the framework of classical transport equations the transport equations are set up in the phase space which includes the su3 group space corresponding to color which is a dynamical degree of freedom in addition to the position momentum variables the distribution functions are defined by projecting the density operators for the quarks and the gluons to their respective coherent states defined over the extended phase space the full import of the yangmillsym dynamics is shown to manifest through the emergence of an intrinsic nonlinear nonlocal response whose behavior we determine in the long wavelength limit it also manifests as a tensor response which is a characteristic of gluons the response functions are shown to have a natural interpretation in terms of the renormalizations of the abelian and the nonabelian coupling constants a detailed analysis of the screening of heavy quark potential and of the exact role played by the debye mass screening in the case of the cornell potential is performed we also discuss the nonabelian contribution to landau damping in qgp
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707.3698
Angular momentum exchange between coherent light and matter fields
Full, three dimensional, time-dependent simulations are presented demonstrating the quantized transfer of angular momentum to a Bose-Einstein condensate from a laser carrying orbital angular momentum in a Laguerre-Gaussian mode. The process is described in terms of coherent Bragg scattering of atoms from a chiral optical lattice. The transfer efficiency and the angular momentum content of the output coupled vortex state are analyzed and compared with a recent experiment.
cond-mat.soft
full three dimensional timedependent simulations are presented demonstrating the quantized transfer of angular momentum to a boseeinstein condensate from a laser carrying orbital angular momentum in a laguerregaussian mode the process is described in terms of coherent bragg scattering of atoms from a chiral optical lattice the transfer efficiency and the angular momentum content of the output coupled vortex state are analyzed and compared with a recent experiment
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707.3699
Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
The cross section for e+e- to pi+ pi- psi(2S) between threshold and \sqrt{s}=5.5 GeV is measured using 673 fb^{-1} of data on and off the \Upsilon(4S) resonance collected with the Belle detector at KEKB. Two resonant structures are observed in the pi+ pi- psi(2S) invariant mass distribution, one at 4361\pm 9\pm 9 MeV/c2 with a width of 74\pm 15\pm 10 MeV/c2, and another at 4664\pm 11\pm 5 MeV/c2 with a width of 48\pm 15\pm 3 MeV/c2, if the mass spectrum is parameterized with the coherent sum of two Breit-Wigner functions. These values do not match those of any of the known charmonium states.
hep-ex hep-ph
the cross section for ee to pi pi psi2s between threshold and sqrts55 gev is measured using 673 fb1 of data on and off the upsilon4s resonance collected with the belle detector at kekb two resonant structures are observed in the pi pi psi2s invariant mass distribution one at 4361pm 9pm 9 mevc2 with a width of 74pm 15pm 10 mevc2 and another at 4664pm 11pm 5 mevc2 with a width of 48pm 15pm 3 mevc2 if the mass spectrum is parameterized with the coherent sum of two breitwigner functions these values do not match those of any of the known charmonium states
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707.37
Undeformed (additive) energy conservation law in Doubly Special Relativity
All the Doubly Special Relativity (DSR) models studied in literature so far involve a deformation of the energy conservation rule that forces us to release the hypothesis of the additivity of the energy for composite systems. In view of the importance of the issue for a consistent formulation of a DSR statistical mechanics and a DSR thermodynamics, we show that DSR models preserving the usual (i.e. additive) energy conservation rule can be found. These models allow the construction of a DSR-covariant extensive energy. The implications of the analysis for the dynamics of DSR-covariant multiparticle systems are also briefly discussed.
gr-qc
all the doubly special relativity dsr models studied in literature so far involve a deformation of the energy conservation rule that forces us to release the hypothesis of the additivity of the energy for composite systems in view of the importance of the issue for a consistent formulation of a dsr statistical mechanics and a dsr thermodynamics we show that dsr models preserving the usual ie additive energy conservation rule can be found these models allow the construction of a dsrcovariant extensive energy the implications of the analysis for the dynamics of dsrcovariant multiparticle systems are also briefly discussed
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707.3701
Nanospintronics meets relativistic quantum physics: Ubiquity of Zitterbewegung effects
We present a unified description of zitterbewegung-like phenomena for electron and hole systems showing Rashba spin splitting as well as for electrons in single-layer and bilayer graphene. The former class of systems can be interpreted as "nonrelativistic" whereas the latter are often called "ultrarelativistic" so that our unified description indicates an interesting connection between these two opposite limits.
cond-mat.mes-hall
we present a unified description of zitterbewegunglike phenomena for electron and hole systems showing rashba spin splitting as well as for electrons in singlelayer and bilayer graphene the former class of systems can be interpreted as nonrelativistic whereas the latter are often called ultrarelativistic so that our unified description indicates an interesting connection between these two opposite limits
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707.3702
Calculating the Superconformal Index and Seiberg Duality
We develop techniques to calculate an index for four dimensional superconformal field theories. This superconformal index is counting BPS operators which preserve only one supercharge. To calculate the superconformal index we quantize the field theory on S^3 X R and show that the twisted theory has an appropriate mass gap. This allows for the interactions to be switched off continuously without the superconformal index being changed. We test those techniques for theories which go through a non-trivial RG flow and for Seiberg dual theories. This leads to the conjecture of some group/number theoretical identities.
hep-th
we develop techniques to calculate an index for four dimensional superconformal field theories this superconformal index is counting bps operators which preserve only one supercharge to calculate the superconformal index we quantize the field theory on s3 x r and show that the twisted theory has an appropriate mass gap this allows for the interactions to be switched off continuously without the superconformal index being changed we test those techniques for theories which go through a nontrivial rg flow and for seiberg dual theories this leads to the conjecture of some groupnumber theoretical identities
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707.3703
Economic Amplifier - A New Econophysics Model
Most of the econometric and econophysics models have been borrowed from the statistical physics, and as a cosequence, a new interdisciplinary science called econophysics has emerged. In this paper we planned to extend the analogy between different economic processes or phenomena and processes and phenomena from different fields of physics, other than statistical physics. On the basis of the economic development process and amplification phenomenon analogy, a new econophysics model, named economic amplifier, on the electronic amplification principle from applied physics was proposed und largely analyzed.
q-fin.GN physics.soc-ph
most of the econometric and econophysics models have been borrowed from the statistical physics and as a cosequence a new interdisciplinary science called econophysics has emerged in this paper we planned to extend the analogy between different economic processes or phenomena and processes and phenomena from different fields of physics other than statistical physics on the basis of the economic development process and amplification phenomenon analogy a new econophysics model named economic amplifier on the electronic amplification principle from applied physics was proposed und largely analyzed
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707.3704
A Cartan-Eilenberg approach to Homotopical Algebra
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. These data determine the cofibrant objects by an extension property analogous to the classical lifting property of projective modules. We define a Cartan-Eilenberg category as a category with strong and weak equivalences such that there is an equivalence between its localization with respect to weak equivalences and the localised category of cofibrant objets with respect to strong equivalences. This equivalence allows us to extend the classical theory of derived additive functors to this non additive setting. The main examples include Quillen model categories and functor categories with a triple, in the last case we find examples in which the class of strong equivalences is not determined by a homotopy relation. Among other applications, we prove the existence of filtered minimal models for \emph{cdg} algebras over a zero-characteristic field and we formulate an acyclic models theorem for non additive functors.
math.AT
in this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms strong and weak equivalences these data determine the cofibrant objects by an extension property analogous to the classical lifting property of projective modules we define a cartaneilenberg category as a category with strong and weak equivalences such that there is an equivalence between its localization with respect to weak equivalences and the localised category of cofibrant objets with respect to strong equivalences this equivalence allows us to extend the classical theory of derived additive functors to this non additive setting the main examples include quillen model categories and functor categories with a triple in the last case we find examples in which the class of strong equivalences is not determined by a homotopy relation among other applications we prove the existence of filtered minimal models for emphcdg algebras over a zerocharacteristic field and we formulate an acyclic models theorem for non additive functors
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707.3705
Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
We report results for the ground state energies and wave functions obtained by projecting spatially unrestricted Hartree Fock states to eigenstates of the total spin and the angular momentum for harmonic quantum dots with $N\leq 12$ interacting electrons including a magnetic field states with the correct spatial and spin symmetries have lower energies than those obtained by the unrestricted method. The chemical potential as a function of a perpendicular magnetic field is obtained. Signature of an intrinsic spin blockade effect is found.
cond-mat.mes-hall
we report results for the ground state energies and wave functions obtained by projecting spatially unrestricted hartree fock states to eigenstates of the total spin and the angular momentum for harmonic quantum dots with nleq 12 interacting electrons including a magnetic field states with the correct spatial and spin symmetries have lower energies than those obtained by the unrestricted method the chemical potential as a function of a perpendicular magnetic field is obtained signature of an intrinsic spin blockade effect is found
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707.3706
QCD analysis of diffractive phenomena
The most important results on subnuclear diffractive phenomena obtained at HERA and Tevtaron are reviewed and new issues in nucleon tomography are discussed. Some challenges for understanding diffraction at the LHC, including the discovering of the Higgs boson, are outlined.
hep-ph
the most important results on subnuclear diffractive phenomena obtained at hera and tevtaron are reviewed and new issues in nucleon tomography are discussed some challenges for understanding diffraction at the lhc including the discovering of the higgs boson are outlined
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707.3707
Storing images in warm atomic vapor
Reversible and coherent storage of light in atomic medium is a key-stone of future quantum information applications. In this work, arbitrary two-dimensional images are slowed and stored in warm atomic vapor for up to 30 $\mu$s, utilizing electromagnetically induced transparency. Both the intensity and the phase patterns of the optical field are maintained. The main limitation on the storage resolution and duration is found to be the diffusion of atoms. A techniqueanalogous to phase-shift lithography is employed to diminish the effect of diffusion on the visibility of the reconstructed image.
quant-ph
reversible and coherent storage of light in atomic medium is a keystone of future quantum information applications in this work arbitrary twodimensional images are slowed and stored in warm atomic vapor for up to 30 mus utilizing electromagnetically induced transparency both the intensity and the phase patterns of the optical field are maintained the main limitation on the storage resolution and duration is found to be the diffusion of atoms a techniqueanalogous to phaseshift lithography is employed to diminish the effect of diffusion on the visibility of the reconstructed image
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707.3708
An Interesting Class of Partial Differential Equations
This paper presents an observation that under reasonable conditions, many partial differential equations from mathematical physics possess three structural properties. One of them can be understand as a variant of the celebrated Onsager reciprocal relation in Modern Thermodynamics. It displays a direct relation of irreversible processes to the entropy change. We show that the properties imply various entropy dissipation conditions for hyperbolic relaxation problems. As an application of the observation, we propose an approximation method to solve relaxation problems. Moreover, the observation is interpreted physically and verified with eight (sets of) systems from different fields.
math-ph math.MP
this paper presents an observation that under reasonable conditions many partial differential equations from mathematical physics possess three structural properties one of them can be understand as a variant of the celebrated onsager reciprocal relation in modern thermodynamics it displays a direct relation of irreversible processes to the entropy change we show that the properties imply various entropy dissipation conditions for hyperbolic relaxation problems as an application of the observation we propose an approximation method to solve relaxation problems moreover the observation is interpreted physically and verified with eight sets of systems from different fields
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707.3709
Inhomogeneous states and nodal fermions in the SU(2) gauge theory
We discuss the issue of phase separation in the SU(2) slave boson theory of Wen and Lee of the doped Mott insulator. It is shown that the constraint structure of the theory leads to the interpretation of the holons to have hard-core interactions, which is demonstrated further by studying the empty limit (no electrons). Surprisingly, with hard-core interactions even the empty limit is described well by the slave-boson theory, both as an energy density and with the regard to dynamical properties. The consequences are investigated in the overdoped superconducting regime, where both phase separation and a d+s structure of the order parameter is obtained. This s-wave component is already imminent in the description of the hole in the slave boson theory. The interacting nature of the holons also lead to sound modes in the single-electron propagator. The novel idea of the isospin spiral is introduced, based on the projective symmetry principles of Wen. This isospin spiral explains the coexistence of superconductivity and the Mott insulating state, being the consequence of phase separation. Secondly, it might be able to explain why nodal fermions survive in the presence of charge inhomogeneities.
cond-mat.str-el
we discuss the issue of phase separation in the su2 slave boson theory of wen and lee of the doped mott insulator it is shown that the constraint structure of the theory leads to the interpretation of the holons to have hardcore interactions which is demonstrated further by studying the empty limit no electrons surprisingly with hardcore interactions even the empty limit is described well by the slaveboson theory both as an energy density and with the regard to dynamical properties the consequences are investigated in the overdoped superconducting regime where both phase separation and a ds structure of the order parameter is obtained this swave component is already imminent in the description of the hole in the slave boson theory the interacting nature of the holons also lead to sound modes in the singleelectron propagator the novel idea of the isospin spiral is introduced based on the projective symmetry principles of wen this isospin spiral explains the coexistence of superconductivity and the mott insulating state being the consequence of phase separation secondly it might be able to explain why nodal fermions survive in the presence of charge inhomogeneities
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707.371
Casimir Effect for Quantum Graphs
The Casimir effects for one-dimensional fractal networks, so-called quantum graphs is studied. Based on the Green function approach for quantum graphs zero-point energy for some simplest topologies is written explicitly.
quant-ph
the casimir effects for onedimensional fractal networks socalled quantum graphs is studied based on the green function approach for quantum graphs zeropoint energy for some simplest topologies is written explicitly
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707.3711
Elliptic Gauss Sums and Hecke L-values at s=1
The rationality of the elliptic Gauss sum coefficient is shown. The following is a specific case of our argument. Let f(u)=sl((1-i)\varpi u), where sl() is the Gauss' lemniscatic sine and \varpi=2.62205... is the real period of the elliptic curve y^2=x^3-x, so that f(u) is an elliptic function relative to the period lattice Z[i]. Let \pi be a primary prime of Z[i] such that norm(\pi)\equiv 13\mod 16. Let S be the quarter set mod \pi consisting of quartic residues. Let us define G(\pi):=\sum_{\nu\in S} f(\nu/\pi) and \tilde{\pi}:=\prod_{\nu\in S} f(\nu/\pi). The former G(\pi) is a typical example of elliptic Gauss sum; the latter is regarded as a canonical 4-th root of -\pi: (\tilde{\pi})^4=-\pi. Then we have Theorem: G(\pi)/(\tilde{\pi})^3 is a rational odd integer. G(\pi) appears naturally in the central value of Hecke L associated to the quartic residue character mod \pi, and our proof is based on the functional equation of L and an explicit formula of the root number. In fact, the latter is nothing but the Cassels-Matthews formula on the quartic Gauss sum.
math.NT
the rationality of the elliptic gauss sum coefficient is shown the following is a specific case of our argument let fusl1ivarpi u where sl is the gauss lemniscatic sine and varpi262205 is the real period of the elliptic curve y2x3x so that fu is an elliptic function relative to the period lattice zi let pi be a primary prime of zi such that normpiequiv 13mod 16 let s be the quarter set mod pi consisting of quartic residues let us define gpisum_nuin s fnupi and tildepiprod_nuin s fnupi the former gpi is a typical example of elliptic gauss sum the latter is regarded as a canonical 4th root of pi tildepi4pi then we have theorem gpitildepi3 is a rational odd integer gpi appears naturally in the central value of hecke l associated to the quartic residue character mod pi and our proof is based on the functional equation of l and an explicit formula of the root number in fact the latter is nothing but the casselsmatthews formula on the quartic gauss sum
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707.3712
Higgs phenomenology of supersymmetric economical 3-3-1 model
We explore the Higgs sector in the supersymmetric economical 3-3-1 model and find new features in this sector. The charged Higgs sector is revised i.e., in difference of the previous work, the exact eigenvalues and states are obtained without any approximation. In this model, there are three Higgs bosons having masses equal to that of the gauge bosons--the W and extra X and Y. There is one scalar boson with mass of 91.4 GeV, which is closed to the $Z$ boson mass and in good agreement with present limit: 89.8 GeV at 95% CL. The condition of eliminating for charged scalar tachyon leads to splitting of VEV at the first symmetry breaking, namely, $w \simeq w^\prime$. The interactions among the standard model gauge bosons and scalar fields in the framework of the supersymmetric economical 3-3-1 model are presented. From these couplings, at some limit, almost scalar Higgs fields can be recognized in accordance with the standard model. The hadronic cross section for production of the bilepton charged Higgs boson at the CERN LHC in the effective vector boson approximation is calculated. Numerical evaluation shows that the cross section can exceed 35.8 fb.
hep-ph
we explore the higgs sector in the supersymmetric economical 331 model and find new features in this sector the charged higgs sector is revised ie in difference of the previous work the exact eigenvalues and states are obtained without any approximation in this model there are three higgs bosons having masses equal to that of the gauge bosonsthe w and extra x and y there is one scalar boson with mass of 914 gev which is closed to the z boson mass and in good agreement with present limit 898 gev at 95 cl the condition of eliminating for charged scalar tachyon leads to splitting of vev at the first symmetry breaking namely w simeq wprime the interactions among the standard model gauge bosons and scalar fields in the framework of the supersymmetric economical 331 model are presented from these couplings at some limit almost scalar higgs fields can be recognized in accordance with the standard model the hadronic cross section for production of the bilepton charged higgs boson at the cern lhc in the effective vector boson approximation is calculated numerical evaluation shows that the cross section can exceed 358 fb
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707.3713
Novel ordering of an S = 1/2 quasi one-dimensional Ising-like anitiferromagnet in magnetic field
High-field specific heat measurements on BaCo2V2O8, which is a good realization of an S = 1/2 quasi one-dimensional Ising-like antifferomagnet, have been performed in magnetic fields up to 12 T along the chain and at temperature down to 200 mK. We have found a new magnetic ordered state in the field-induced phase above Hc ~ 3.9 T. We suggest that a novel type of the incommensurate order, which has no correspondence to the classical spin system, is realized in the field-induced phase.
cond-mat.str-el
highfield specific heat measurements on baco2v2o8 which is a good realization of an s 12 quasi onedimensional isinglike antifferomagnet have been performed in magnetic fields up to 12 t along the chain and at temperature down to 200 mk we have found a new magnetic ordered state in the fieldinduced phase above hc 39 t we suggest that a novel type of the incommensurate order which has no correspondence to the classical spin system is realized in the fieldinduced phase
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707.3714
Nonequilibrium Statistical Mechanics and Hydrodynamics for a Granular Fluid
Granular fluids consist of collections of activated mesoscopic or macroscopic particles (e.g., powders or grains) whose flows often appear similar to those of normal fluids. To explore the qualitative and quantitative description of these flows an idealized model for such fluids, a system of smooth inelastic hard spheres, is considered. The single feature distinguishing granular and normal fluids being explored in this way is the inelasticity of collisions. The dominant differences observed in real granular fluids are indeed captured by this feature. Following a brief introductory description of real granular fluids and motivation for the idealized model, the elements of nonequilibrium statistical mechanics are recalled (observables, states, and their dynamics). Peculiarities of the hard sphere interactions are developed in detail. The exact microscopic balance equations for the number, energy, and momentum densities are derived and their averages described as the origin for a possible macroscopic continuum mechanics description. This formally exact analysis leads to closed, macroscopic hydrodynamic equations through the notion of a "normal" state. This concept is introduced and the Navier-Stokes constitutive equations are derived, with associated Green-Kubo expressions for the transport coefficients. A parallel description of granular gases is described in the context of kinetic theory, and the Boltzmann limit is identified critically. The construction of the "normal" solution to the kinetic equation is outlined, and Navier-Stokes order hydrodynamic equations are re-derived for a low density granular gas.
cond-mat.stat-mech cond-mat.soft
granular fluids consist of collections of activated mesoscopic or macroscopic particles eg powders or grains whose flows often appear similar to those of normal fluids to explore the qualitative and quantitative description of these flows an idealized model for such fluids a system of smooth inelastic hard spheres is considered the single feature distinguishing granular and normal fluids being explored in this way is the inelasticity of collisions the dominant differences observed in real granular fluids are indeed captured by this feature following a brief introductory description of real granular fluids and motivation for the idealized model the elements of nonequilibrium statistical mechanics are recalled observables states and their dynamics peculiarities of the hard sphere interactions are developed in detail the exact microscopic balance equations for the number energy and momentum densities are derived and their averages described as the origin for a possible macroscopic continuum mechanics description this formally exact analysis leads to closed macroscopic hydrodynamic equations through the notion of a normal state this concept is introduced and the navierstokes constitutive equations are derived with associated greenkubo expressions for the transport coefficients a parallel description of granular gases is described in the context of kinetic theory and the boltzmann limit is identified critically the construction of the normal solution to the kinetic equation is outlined and navierstokes order hydrodynamic equations are rederived for a low density granular gas
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707.3715
Exponential inequalities for self-normalized martingales with applications
We propose several exponential inequalities for self-normalized martingales similar to those established by De la Pe\~{n}a. The keystone is the introduction of a new notion of random variable heavy on left or right. Applications associated with linear regressions, autoregressive and branching processes are also provided.
math.ST math.PR stat.TH
we propose several exponential inequalities for selfnormalized martingales similar to those established by de la pena the keystone is the introduction of a new notion of random variable heavy on left or right applications associated with linear regressions autoregressive and branching processes are also provided
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707.3716
Post-transcriptional Regulation Drives Temporal Compartmentalization of the Yeast Metabolic Cycle
The maintainance of a stable periodicity during the yeast metabolic cycle involving approximately half of the genome requires a very strict and efficient control of gene expression. For this reason, the metabolic cycle is a very good candidate for testing the role of a class of post-transcriptional regulators, the so called PUF-family, whose genome-wide mRNA binding specificity was recently experimentally assessed. Here we show that an integrated computational analysis of gene expression time series during the metabolic cycle and the mRNA binding specificity of PUF-family proteins allow for a clear demonstration of the very specific role exerted by selective post-transcriptional mRNA degradation in yeast metabolic cycle global regulation.
q-bio.CB q-bio.BM
the maintainance of a stable periodicity during the yeast metabolic cycle involving approximately half of the genome requires a very strict and efficient control of gene expression for this reason the metabolic cycle is a very good candidate for testing the role of a class of posttranscriptional regulators the so called puffamily whose genomewide mrna binding specificity was recently experimentally assessed here we show that an integrated computational analysis of gene expression time series during the metabolic cycle and the mrna binding specificity of puffamily proteins allow for a clear demonstration of the very specific role exerted by selective posttranscriptional mrna degradation in yeast metabolic cycle global regulation
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707.3717
GCP: Gossip-based Code Propagation for Large-scale Mobile Wireless Sensor Networks
Wireless sensor networks (WSN) have recently received an increasing interest. They are now expected to be deployed for long periods of time, thus requiring software updates. Updating the software code automatically on a huge number of sensors is a tremendous task, as ''by hand'' updates can obviously not be considered, especially when all participating sensors are embedded on mobile entities. In this paper, we investigate an approach to automatically update software in mobile sensor-based application when no localization mechanism is available. We leverage the peer-to-peer cooperation paradigm to achieve a good trade-off between reliability and scalability of code propagation. More specifically, we present the design and evaluation of GCP ({\emph Gossip-based Code Propagation}), a distributed software update algorithm for mobile wireless sensor networks. GCP relies on two different mechanisms (piggy-backing and forwarding control) to improve significantly the load balance without sacrificing on the propagation speed. We compare GCP against traditional dissemination approaches. Simulation results based on both synthetic and realistic workloads show that GCP achieves a good convergence speed while balancing the load evenly between sensors.
cs.NI
wireless sensor networks wsn have recently received an increasing interest they are now expected to be deployed for long periods of time thus requiring software updates updating the software code automatically on a huge number of sensors is a tremendous task as by hand updates can obviously not be considered especially when all participating sensors are embedded on mobile entities in this paper we investigate an approach to automatically update software in mobile sensorbased application when no localization mechanism is available we leverage the peertopeer cooperation paradigm to achieve a good tradeoff between reliability and scalability of code propagation more specifically we present the design and evaluation of gcp emph gossipbased code propagation a distributed software update algorithm for mobile wireless sensor networks gcp relies on two different mechanisms piggybacking and forwarding control to improve significantly the load balance without sacrificing on the propagation speed we compare gcp against traditional dissemination approaches simulation results based on both synthetic and realistic workloads show that gcp achieves a good convergence speed while balancing the load evenly between sensors
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707.3718
Seesaw mechanism in the sneutrino sector and its consequences
The seesaw-extended MSSM provides a framework in which the observed light neutrino masses and mixing angles can be generated in the context of a natural theory for the TeV-scale. Sneutrino-mixing phenomena provide valuable tools for connecting the physics of neutrinos and supersymmetry. We examine the theoretical structure of the seesaw-extended MSSM, retaining the full complexity of three generations of neutrinos and sneutrinos. In this general framework, new flavor-changing and CP-violating sneutrino processes are allowed, and are parameterized in terms of two $3\times 3$ matrices that respectively preserve and violate lepton number. The elements of these matrices can be bounded by analyzing the rate for rare flavor-changing decays of charged leptons and the one-loop contribution to neutrino masses. In the former case, new contributions arise in the seesaw extended model which are not present in the ordinary MSSM. In the latter case, sneutrino--antisneutrino mixing generates the leading correction at one-loop to neutrino masses, and could provide the origin of the observed texture of the light neutrino mass matrix. Finally, we derive general formulae for sneutrino--antisneutrino oscillations and sneutrino flavor-oscillations. Unfortunately, neither oscillation phenomena is likely to be observable at future colliders.
hep-ph
the seesawextended mssm provides a framework in which the observed light neutrino masses and mixing angles can be generated in the context of a natural theory for the tevscale sneutrinomixing phenomena provide valuable tools for connecting the physics of neutrinos and supersymmetry we examine the theoretical structure of the seesawextended mssm retaining the full complexity of three generations of neutrinos and sneutrinos in this general framework new flavorchanging and cpviolating sneutrino processes are allowed and are parameterized in terms of two 3times 3 matrices that respectively preserve and violate lepton number the elements of these matrices can be bounded by analyzing the rate for rare flavorchanging decays of charged leptons and the oneloop contribution to neutrino masses in the former case new contributions arise in the seesaw extended model which are not present in the ordinary mssm in the latter case sneutrinoantisneutrino mixing generates the leading correction at oneloop to neutrino masses and could provide the origin of the observed texture of the light neutrino mass matrix finally we derive general formulae for sneutrinoantisneutrino oscillations and sneutrino flavoroscillations unfortunately neither oscillation phenomena is likely to be observable at future colliders
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707.3719
Funnels in Energy Landscapes
Local minima and the saddle points separating them in the energy landscape are known to dominate the dynamics of biopolymer folding. Here we introduce a notion of a "folding funnel" that is concisely defined in terms of energy minima and saddle points, while at the same time conforming to a notion of a "folding funnel" as it is discussed in the protein folding literature.
q-bio.BM
local minima and the saddle points separating them in the energy landscape are known to dominate the dynamics of biopolymer folding here we introduce a notion of a folding funnel that is concisely defined in terms of energy minima and saddle points while at the same time conforming to a notion of a folding funnel as it is discussed in the protein folding literature
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707.372
Wounded quarks and diquarks in high energy collisions
Particle production in Au-Au, Cu-Cu, d-Au and p-p collisions at 200 GeV c.m. energy are analyzed in the wounded quark-diquark model. Existing data are well reproduced. Emission functions of wounded and unwounded constituents are determined. Implications for the collective evolution of the system are discussed.
hep-ph
particle production in auau cucu dau and pp collisions at 200 gev cm energy are analyzed in the wounded quarkdiquark model existing data are well reproduced emission functions of wounded and unwounded constituents are determined implications for the collective evolution of the system are discussed
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707.3721
A class of generalised Jordan-Schwinger maps
In this article we introduce a class of generalisations of the Jordan-Schwinger (JS) map which realises the recent proposed generalised sl(2) (G-sl(2)) algebra via two independent Generalised Heisenberg Algebras (GHA). Although the GHA and the G-sl(2) algebra exhibit more general algebraic structures than the Heisenberg and sl(2) algebras, the generalised JS map presents a compact and simple structure wich includes the standard JS map as a particular case. Finally, since in the GHA there is a physical interpretation in terms of composite particles, we will carry out this assertion in a manner that the generalised sl(2) algebra could be related to composite particles with angular momentum.
math-ph math.MP
in this article we introduce a class of generalisations of the jordanschwinger js map which realises the recent proposed generalised sl2 gsl2 algebra via two independent generalised heisenberg algebras gha although the gha and the gsl2 algebra exhibit more general algebraic structures than the heisenberg and sl2 algebras the generalised js map presents a compact and simple structure wich includes the standard js map as a particular case finally since in the gha there is a physical interpretation in terms of composite particles we will carry out this assertion in a manner that the generalised sl2 algebra could be related to composite particles with angular momentum
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707.3722
SpectroWeb: An Interactive Graphical Database of Digital Stellar Spectral Atlases
SpectroWeb is an online maintained interactive graphical database of digital spectral atlases of spectral standard stars at http://spectra.freeshell.org . It is an efficient and user-friendly research tool for accurate analyses of stellar spectra observed with large spectral resolution, including the solar spectrum. The web-interface displays observed and theoretical stellar spectra, and comprehensively provides detailed atomic and molecular line information via user interaction. It fully integrates interactive spectrum visualization tools for the analysis, management, and maintenance of large volumes of spectral line-identification, -transition, and -property data. SpectroWeb 1.0 currently offers optical (3300-6800 A) flux normalized high-resolution spectra of Betelgeuse (M2), Arcturus (K1), The Sun (G2), Beta Aqr (G0), Procyon (F5), and Canopus (F0). The provided line identifications are based on state of the art spectrum synthesis calculations. The graphical database is under permanent development as an online repository of identified (absorption) lines in spectral standard reference stars, covering a broad range of stellar spectral types. Its object-oriented (Java) implementation offers future expansion capabilities to link and read stellar spectral atlases from various public internet sites.
astro-ph
spectroweb is an online maintained interactive graphical database of digital spectral atlases of spectral standard stars at httpspectrafreeshellorg it is an efficient and userfriendly research tool for accurate analyses of stellar spectra observed with large spectral resolution including the solar spectrum the webinterface displays observed and theoretical stellar spectra and comprehensively provides detailed atomic and molecular line information via user interaction it fully integrates interactive spectrum visualization tools for the analysis management and maintenance of large volumes of spectral lineidentification transition and property data spectroweb 10 currently offers optical 33006800 a flux normalized highresolution spectra of betelgeuse m2 arcturus k1 the sun g2 beta aqr g0 procyon f5 and canopus f0 the provided line identifications are based on state of the art spectrum synthesis calculations the graphical database is under permanent development as an online repository of identified absorption lines in spectral standard reference stars covering a broad range of stellar spectral types its objectoriented java implementation offers future expansion capabilities to link and read stellar spectral atlases from various public internet sites
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707.3723
Scenarios for ILC in 2010
Assuming that first significant results from LHC become available, this presentation assumes 4 different scenarios and discuss the implications for ILC
hep-ph
assuming that first significant results from lhc become available this presentation assumes 4 different scenarios and discuss the implications for ilc
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707.3724
Towards a realistic Standard Model from D-brane configurations
Effective low energy models arising in the context of D-brane configurations with Standard Model (SM) gauge symmetry extended by several gauged abelian factors are discussed. The models are classified according to their hypercharge embeddings consistent with the SM spectrum hypercharge assignment. Particular cases are analyzed according to their perspectives and viability as low energy effective field theory candidates. The resulting string scale is determined by means of a two-loop renormalization group calculation. Their implications in Yukawa couplings, neutrinos and flavor changing processes are also presented.
hep-ph
effective low energy models arising in the context of dbrane configurations with standard model sm gauge symmetry extended by several gauged abelian factors are discussed the models are classified according to their hypercharge embeddings consistent with the sm spectrum hypercharge assignment particular cases are analyzed according to their perspectives and viability as low energy effective field theory candidates the resulting string scale is determined by means of a twoloop renormalization group calculation their implications in yukawa couplings neutrinos and flavor changing processes are also presented
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707.3725
Relating two Hopf algebras built from an operad
Starting from an operad, one can build a family of posets. From this family of posets, one can define an incidence Hopf algebra. By another construction, one can also build a group directly from the operad. We then consider its Hopf algebra of functions. We prove that there exists a surjective morphism from the latter Hopf algebra to the former one. This is illustrated by the case of an operad built on rooted trees, the $\NAP$ operad, where the incidence Hopf algebra is identified with the Connes-Kreimer Hopf algebra of rooted trees.
math.RA math.CO
starting from an operad one can build a family of posets from this family of posets one can define an incidence hopf algebra by another construction one can also build a group directly from the operad we then consider its hopf algebra of functions we prove that there exists a surjective morphism from the latter hopf algebra to the former one this is illustrated by the case of an operad built on rooted trees the nap operad where the incidence hopf algebra is identified with the conneskreimer hopf algebra of rooted trees
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707.3726
Three Dimensional Radiative Transfer in Winds of Massive Stars: Wind3D
We discuss the development of the new radiative transfer code Wind3D. It solves the non-LTE radiative transport problem in moving stellar atmosphere models in three geometric dimensions. The code accepts arbitrary 3D velocity fields in Cartesian geometry without assumptions of axial symmetry. Wind3D is currently implemented as a fully parallelized (exact) accelerated lambda iteration scheme with a two level atom formulation. The numerical transfer scheme is efficient and very accurate to trace small variations of local velocity gradients on line opacity in strongly scattering dominated extended stellar winds. We investigate the detailed formation of P Cygni line profiles observed in ultraviolet spectra of massive stars. We compute the detailed shape of these resonance lines to model local enhancements of line opacity that can for instance be caused by clumping in supersonically expanding winds. Wind3D will be applied to hydrodynamic models to investigate physical properties of discrete absorption line components.
astro-ph
we discuss the development of the new radiative transfer code wind3d it solves the nonlte radiative transport problem in moving stellar atmosphere models in three geometric dimensions the code accepts arbitrary 3d velocity fields in cartesian geometry without assumptions of axial symmetry wind3d is currently implemented as a fully parallelized exact accelerated lambda iteration scheme with a two level atom formulation the numerical transfer scheme is efficient and very accurate to trace small variations of local velocity gradients on line opacity in strongly scattering dominated extended stellar winds we investigate the detailed formation of p cygni line profiles observed in ultraviolet spectra of massive stars we compute the detailed shape of these resonance lines to model local enhancements of line opacity that can for instance be caused by clumping in supersonically expanding winds wind3d will be applied to hydrodynamic models to investigate physical properties of discrete absorption line components
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707.3727
Spatial patterns in optical lattices submitted to gauge potentials
We study the vortex formation in optical lattices submitted to artificial gauge potentials. We compute the superfluid density for Abelian and non-Abelian gauge potentials with a mean-field approach of the Bose-Hubbard model and we determine the rule describing the number of vortices as a function of the effective magnetic flux. This simple rule is represented by a remarkably rich figure that represents the superfluid density as a function of the flux. The phenomena which emanate from this work should be observed experimentally in optical lattices within which atom tunneling is laser-assisted and described by commutative or non-commutative tunneling operators.
cond-mat.mes-hall
we study the vortex formation in optical lattices submitted to artificial gauge potentials we compute the superfluid density for abelian and nonabelian gauge potentials with a meanfield approach of the bosehubbard model and we determine the rule describing the number of vortices as a function of the effective magnetic flux this simple rule is represented by a remarkably rich figure that represents the superfluid density as a function of the flux the phenomena which emanate from this work should be observed experimentally in optical lattices within which atom tunneling is laserassisted and described by commutative or noncommutative tunneling operators
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707.3728
Fiber-optic realization of anisotropic depolarizing quantum channels
We employed an electrically-driven polarization controller to implement anisotropic depolarizing quantum channels for the polarization state of single photons. The channels were characterized by means of ancilla-assisted quantum process tomography using polarization-entangled photons generated in the process of spontaneous parametric down-conversion. The demonstrated depolarization method offers good repeatability, low cost, and compatibility with fiber-optic setups. It does not perturb the modal structure of single photons, and therefore can be used to verify experimentally protocols for managing decoherence effects based on multiphoton interference.
quant-ph physics.optics
we employed an electricallydriven polarization controller to implement anisotropic depolarizing quantum channels for the polarization state of single photons the channels were characterized by means of ancillaassisted quantum process tomography using polarizationentangled photons generated in the process of spontaneous parametric downconversion the demonstrated depolarization method offers good repeatability low cost and compatibility with fiberoptic setups it does not perturb the modal structure of single photons and therefore can be used to verify experimentally protocols for managing decoherence effects based on multiphoton interference
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707.3729
Scaling limits for random fields with long-range dependence
This paper studies the limits of a spatial random field generated by uniformly scattered random sets, as the density $\lambda$ of the sets grows to infinity and the mean volume $\rho$ of the sets tends to zero. Assuming that the volume distribution has a regularly varying tail with infinite variance, we show that the centered and renormalized random field can have three different limits, depending on the relative speed at which $\lambda$ and $\rho$ are scaled. If $\lambda$ grows much faster than $\rho$ shrinks, the limit is Gaussian with long-range dependence, while in the opposite case, the limit is independently scattered with infinite second moments. In a special intermediate scaling regime, there exists a nontrivial limiting random field that is not stable.
math.PR
this paper studies the limits of a spatial random field generated by uniformly scattered random sets as the density lambda of the sets grows to infinity and the mean volume rho of the sets tends to zero assuming that the volume distribution has a regularly varying tail with infinite variance we show that the centered and renormalized random field can have three different limits depending on the relative speed at which lambda and rho are scaled if lambda grows much faster than rho shrinks the limit is gaussian with longrange dependence while in the opposite case the limit is independently scattered with infinite second moments in a special intermediate scaling regime there exists a nontrivial limiting random field that is not stable
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