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47
1999-03-16
Vortex Solutions of Nonrelativistic Fermion and Scalar Field Theories Coupled to Maxwell-Chern-Simons theories
We have constructed nonrelativistic fermion and scalar field theories coupled to a Maxwell-Chern-Simons gauge field which admit static multi-vortex solutions. This is achieved by introducing a magnetic coupling term in addition to the usual minimal coupling.
9903138v2
1999-04-06
Some Speculations on the Gauge Coupling in the AdS/CFT Approach
We propose the principle that the scale of the glueball masses in the AdS/CFT approach to QCD should be set by the square root of the string tension. It then turns out that the strong bare coupling runs logarithmically with the ultraviolet cutoff T if first order world sheet fluctuations are included. We also point out...
9904034v2
1999-10-26
A Simple Proof of the Non-Renormalization of the Chern-Simons Coupling
We give a very simple proof that the renormalization of the Chern-Simons coupling in the Wilsonian effective action is exhausted at one-loop. Our proof can apply to arbitrary 2+1-dimensional abelian as well as nonabelian gauge theories without a bare Chern-Simons coupling, including any non-renormalizable interactions ...
9910200v3
2000-05-24
Supergravity couplings: a geometric formulation
This report provides a pedagogical introduction to the description of the general Poincare supergravity/matter/Yang-Mills couplings using methods of Kahler superspace geometry. At a more advanced level this approach is generalized to include tensor field and Chern-Simons couplings in supersymmetry and supergravity, rel...
0005225v1
2000-11-01
Scale Invariance in a Non-Abelian Chern-Simons-Matter Model
The general method of reduction in the number of coupling parameters is applied in a Chern-Simons-matter model with several independent couplings. We claim that considering the asymptotic region, and expressing all dimensionless coupling parameters as functions of the Chern-Simons coupling, it is possible to show that ...
0011007v3
2000-12-18
Holography and Phenomenology
We examine various aspects of the conjectured duality between warped AdS$_5$ geometries with boundary branes and strongly coupled (broken) conformal field theories coupled to dynamical gravity. We also examine compactifications with 5-d gauge fields, in which case the holographic dual is a broken CFT weakly coupled to ...
0012148v1
2001-06-15
"Dynamical" non-minimal higher-spin interaction and gyromagnetic ratio g=2
The field-dependent invariant representation (the "dynamical" representation) of the Poincar\'e algebra is considered as a dynamical principle in order to get the corresponding "dynamical" electromagnetic coupling for higher spins ($s\geq 1$). If in lower-spin ($s=0,1/2$) cases the "dynamical" coupling is taken to coin...
0106137v1
2001-07-11
Ramond-Ramond Couplings of Noncommutative Branes
We obtain the couplings of noncommutative branes of type II string theories to constant Ramond-Ramond backgrounds, for BPS as well as non-BPS branes, in the background-independent description. For the BPS branes, we also generalize these couplings to other descriptions, and thereby argue their equivalence to the known ...
0107087v2
2001-08-16
Unification and the Hierarchy from AdS5
In AdS5, the coupling for bulk gauge bosons runs logarithmically, not as a power law. For this reason, one can preserve perturbative unification of couplings. Depending on the cutoff, this can occur at a high scale. We discuss subtleties in the calculation and present a regularization scheme motivated by the holographi...
0108115v1
2004-06-29
A Curious Truncation of N=4 Yang-Mills
The coupling constant dependence of correlation functions of BPS operators in N=4 Yang-Mills can be expressed in terms of integrated correlation functions. We approximate these integrated correlators by using a truncated OPE expansion. This leads to differential equations for the coupling dependence. When applied to a ...
0406267v2
2004-09-22
Bounding Gauged Skyrmion Masses
Normally, standard (ungauged) skyrmion masses are proportional to the coupling of the Skyrme term needed for stability, and so can grow to infinite magnitude with increasing coupling. In striking contrast, when skyrmions are gauged, their masses are bounded above for any Skyrme coupling, and, instead, are of the order ...
0409222v1
2004-12-21
The symmetric branes of the H4 WZW model
We review the solution of the boundary CFTs that describe the symmetric branes in the Nappi-Witten gravitational wave, namely D2 and S1 branes. The D2 branes are the twisted branes of the model while the S1 branes are the Cardy branes. We present in both cases the bulk-boundary couplings and the boundary three-point co...
0412258v2
2005-09-07
Gravitational Correction to Running of Gauge Couplings
We calculate the contribution of graviton exchange to the running of gauge couplings at lowest non-trivial order in perturbation theory. Including this contribution in a theory that features coupling constant unification does not upset this unification, but rather shifts the unification scale. When extrapolated formall...
0509050v2
2005-12-13
Time variation of the gravitational coupling constant in decrumpling cosmology
Within the framework of a model universe with time variable space dimension (TVSD) model, known as decrumpling or TVSD model, we study the time variation of the gravitational coupling constant. Using observational bounds on the present time variation of the gravitational Newton's constant in three-dimensional space we ...
0512139v3
2006-10-19
AdS/CFT duality at strong coupling
We study the strong coupling limit of AdS/CFT correspondence in the framework of a recently proposed fermionic formulation of the Bethe Ansatz equations governing the gauge theory anomalous dimensions. We provide examples of states that do not follow the Gubser-Klebanov-Polyakov law at large 't Hooft coupling $\lambda$...
0610215v1
2007-03-21
On the coupling of tensors to gauge fields: D=5, N=2 supergravity revisited
A general free differential algebra encoding the anti-Higgs mechanism among two-index antisymmetric tensors and gauge vectors is analyzed at the full group theoretical level. N=2 supergravity in five dimensions coupled to tensor, vector and hyper multiplets with all possible couplings included is reconsidered from this...
0703188v1
1992-09-25
Calderón couples of re-arrangement invariant spaces
We examine conditions under which a pair of re-arrangement invariant function spaces on $[0,1]$ or $[0,\infty)$ form a Calder\'on couple. A very general criterion is developed to determine whether such a pair is a Calder\'on couple, with numerous applications. We give, for example, a complete classification of those sp...
9209217v1
2005-04-21
Block-diagonalization of the linearized coupled-mode system
We consider the Hamiltonian coupled-mode system that occur in nonlinear optics, photonics, and atomic physics. Spectral stability of gap solitons is determined by eigenvalues of the linearized coupled-mode system, which is equivalent to a four-by-four Dirac system with sign-indefinite metric. In the special class of sy...
0504442v1
2005-12-14
Coupling all the Lévy stochastic areas of multidimensional Brownian motion
It is shown how to construct a successful co-adapted coupling of two copies of an $n$-dimensional Brownian motion $(B_1,...,B_n)$ while simultaneously coupling all corresponding copies of L\'{e}vy stochastic areas $\int B_i dB_j-\int B_j dB_i$. It is conjectured that successful co-adapted couplings still exist when the...
0512336v2
2006-09-29
Enhanced binding for N-particle system interacting with a scalar bose field I
An enhanced binding of an $N$-particle system interacting through a scalar bose field is investigated, where $N\geq 2$. It is not assumed that this system has a ground state for a zero coupling. It is shown, however, that there exists a ground state for a sufficiently large values of coupling constants. When the coupli...
0609086v1
2006-12-12
The bipolaron in the strong coupling limit
The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fr\"{o}hlich approximation. If the Coulomb repulsion dominates, the lowest energy states are two well separated polarons. Otherwise the electrons form a bound pair. We prove the validity of the Pekar-Tom...
0612035v1
2007-03-16
Approximations of singular vertex couplings in quantum graphs
We discuss approximations of the vertex coupling on a star-shaped quantum graph of $n$ edges in the singular case when the wave functions are not continuous at the vertex and no edge-permutation symmetry is present. It is shown that the Cheon-Shigehara technique using $\delta$ interactions with nonlinearly scaled coupl...
0703051v1
1998-04-01
Bilinearization of coupled nonlinear Schrödinger type equations: integrabilty and solitons
Considering the coupled envelope equations in nonlinear couplers, the question of integrability is attempted. It is explicitly shown that Hirota's bilinear method is one of the simple and alternative techniques to Painlev\'e analysis to obtain the integrability conditions of the coupled nonlinear Schr\"odinger (CNLS) t...
9804202v1
2000-09-27
Synchronization of rescaled adaptive coupling and its application to shock capturing
This Letter proposes a rescaled adaptive coupling scheme for the synchronization of spatially extended systems. Coupling and synchronization are analyzed from the point view of image filter construction. A length rescaling technique is introduced based on dimensional argument of control process. Control sensors are ada...
0009048v1
2001-04-09
Effective Coupling for Open Billiards
We derive an explicit expression for the coupling constants of individual eigenstates of a closed billiard which is opened by attaching a waveguide. The Wigner time delay and the resonance positions resulting from the coupling constants are compared to an exact numerical calculation. Deviations can be attributed to eva...
0104023v1
2001-04-10
Information processing by a controlled coupling process
This Letter proposes a controlled coupling process for information processing. The net effect of conventional coupling is isolated from the dynamical system and is analyzed in depth. The stability of the process is studied. We show that the proposed process can locally minimize the smoothness and the fidelity of dynami...
0104026v1
2001-06-11
Analysis of Hamiltonian Dynamics of Dispersion-Managed Coupled Breathers in Optical Transmission System
We theoretically derive the Hamiltonian dynamics of dispersion-managed coupled breathers in optical transmission system as a result of phases-plane dynamics of the system. We analytically show that the contribution of a perturbation term caused by a noise sourced by amplifiers in optical fiber can influence the amplitu...
0106009v1
2001-11-01
Exact anticipating synchronization in bi-directionally coupled time-delayed systems
We present an analytical investigation of exact anticipating synchronization between two bi-idirectionally coupled time-delayed systems in the case when these systems are governed by two characteristic times: the delay time in the coupling and the delay time in the coupled systems. We apply our approach to interpret th...
0111002v1
2001-11-02
Exact Lag Synchronization in Time Delay Systems and Why Experimental Lag Times Can Differ from Theoretical Predictions
We present analytical investigation of exact lag synchronization between two unidirectionally coupled identical time delay systems with two characteristic delay times, where the delay time in the coupling is different from the delay time in the coupled systems themselves. For the first time we demonstrate that paramete...
0111006v1
2002-02-04
Information transfer and nontrivial collective behavior in chaotic coupled map networks
The emergence of nontrivial collective behavior in networks of coupled chaotic maps is investigated by means of a nonlinear mutual prediction method. The resulting prediction error is used to measure the amount of information that a local unit possesses about the collective dynamics. Applications to locally and globall...
0202010v1
2002-03-11
Different regimes of synchronization in nonidentical time-delayed maps
We study the synchronization of time-delayed nonidentical maps subject to unidirectional (master-slave) coupling. The individual dynamics of the maps have a delay n1, and the coupling acts with a delay n2. We show analytically that, suitably tuning the slave map parameters, two distinct synchronization regimes can occu...
0203017v1
2002-03-15
Phase-locked and phase drift solutions of phase oscillators with asymmetric coupling strengths
Phase-locked solutions of coupled oscillators are studied with asymmetric coupling strengths or inhomogeneous natural frequencies. The solutions show remarkable profiles of phase lags from the pacemaker corresponding to the ratio of upward and downward coupling strengths. By means of the existence condition of phase-lo...
0203032v1
2002-10-07
Self-organized and driven phase synchronization in coupled maps
We study the phase synchronization and cluster formation in coupled maps on different networks. We identify two different mechanisms of cluster formation; (a) {\it Self-organized} phase synchronization which leads to clusters with dominant intra-cluster couplings and (b) {\it driven} phase synchronization which leads t...
0210006v2
2002-10-09
Route to chaotic synchronisation in coupled map lattices: Rigorous results
Two-dimensional mappings obtained by coupling two piecewise increasing expanding maps are considered. Their dynamics is described when the coupling parameter increases in the expanding domain. By introducing a coding and by analysing an admissibility condition, approximations of the corresponding symbolic systems are o...
0210019v1
2002-10-24
Stochastic synchronization in globally coupled phase oscillators
Cooperative effects of periodic force and noise in globally Cooperative effects of periodic force and noise in globally coupled systems are studied using a nonlinear diffusion equation for the number density. The amplitude of the order parameter oscillation is enhanced in an intermediate range of noise strength for a g...
0210056v1
2002-12-27
General Stability Analysis of Synchronized Dynamics in Coupled Systems
We consider the stability of synchronized states (including equilibrium point, periodic orbit or chaotic attractor) in arbitrarily coupled dynamical systems (maps or ordinary differential equations). We develop a general approach, based on the master stability function and Gershgorin disc theory, to yield constraints o...
0212051v1
2003-04-02
Inverse scattering approach to coupled higher order nonlinear Schrödinger equation and N-soliton solutions
A generalized inverse scattering method has been applied to the linear problem associated with the coupled higher order nonlinear schr\"odinger equation to obtain it's $N$-soliton solution. An infinite number of conserved quantities have been obtained by solving a set of coupled Riccati equations. It has been shown tha...
0304004v1
2003-05-02
Phase separation in coupled chaotic maps on fractal networks
The phase ordering dynamics of coupled chaotic maps on fractal networks are investigated. The statistical properties of the systems are characterized by means of the persistence probability of equivalent spin variables that define the phases. The persistence saturates and phase domains freeze for all values of the coup...
0305004v1
2003-09-21
Painlevé test of coupled Gross-Pitaevskii equations
Painlev\'{e} test of the coupled Gross-Pitaevskii equations has been carried out with the result that the coupled equations pass the P-test only if a special relation containing system parameters (masses, scattering lengths) is satisfied. Computer algebra is applied to evaluate j=4 compatibility condition for admissibl...
0309056v1
2003-12-10
Periodic orbit theory of two coupled Tchebyscheff maps
Coupled map lattices have been widely used as models in several fields of physics, such as chaotic strings, turbulence, and phase transitions, as well as in other disciplines, such as biology (ecology, evolution) and information processing. This paper investigates properties of periodic orbits in two coupled Tchebysche...
0312024v1
2004-01-22
Chaos synchronization in long-range coupled map lattices
We investigate the synchronization phenomenon in coupled chaotic map lattices where the couplings decay with distance following a power-law. Depending on the lattice size, the coupling strength and the range of the interactions, complete chaos synchronization may be attained. The synchronization domain in parameter spa...
0401034v1
2004-07-19
Chimera States for Coupled Oscillators
Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimera states" are believed to be impossible for locally or globally coupled systems; they are peculiar to the intermediate case of nonlocal coup...
0407045v1
2004-09-27
Combination of anticipated and isochronous synchronization in coupled semiconductor lasers system
Combination of two basic types of synchronization, anticipated and isochronous synchronization, is investigated numerically in coupled semiconductor lasers. Due to the combination, a synchronization of good quality can be obtained. We study the dependence of the lag time between two lasers and the synchronization quali...
0409056v1
2005-06-08
Energy localization in two chaotically coupled systems
We set up and analyze a random matrix model to study energy localization and its time behavior in two chaotically coupled systems. This investigation is prompted by a recent experimental and theoretical study of Weaver and Lobkis on coupled elastomechanical systems. Our random matrix model properly describes the main f...
0506017v1
2005-08-10
Fractal Stationary Density in Coupled Maps
We study the invariant measure or the stationary density of a coupled discrete dynamical system as a function of the coupling parameter \epsilon (0 < \epsilon < 1/4). The dynamical system considered is chaotic and unsynchronized for this range of parameter values. We find that the stationary density, restricted on the ...
0508017v1
2005-09-06
On possibility of realization of the Mandelbrot set in coupled continuous systems
According to the method, suggested in our previous work (nlin/0509012) and based on the consideration of the specially coupled systems, the possibility of physical realization of the phenomena of complex analytic dynamics (such as Mandelbrot and Julia sets) is discussed. It is shown, that unlike the case of discrete ma...
0509013v1
2005-10-03
Synchronization by Reactive Coupling and Nonlinear Frequency Pulling
We present a detailed analysis of a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling. We study the model for the mean field case of all-to-all coupling, deriving results for the initial onset of synchronization as the coupling or nonlinearity increase, and ...
0510002v1
2005-10-04
Synchronization of Coupled Chaotic Dynamics on Networks
We review some recent work on the synchronization of coupled dynamical systems on a variety of networks. When nodes show synchronized behaviour, two interesting phenomena can be observed. First, there are some nodes of the floating type that show intermittent behaviour between getting attached to some clusters and evol...
0510008v1
2005-12-15
Transitions To the Long-Resident State in coupled chaotic oscillators
The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits of the two oscillators get close becomes faster with increasing the coupling st...
0512037v1
2006-12-05
Random global coupling induces synchronization and nontrivial collective behavior in networks of chaotic maps
The phenomena of synchronization and nontrivial collective behavior are studied in a model of coupled chaotic maps with random global coupling. The mean field of the system is coupled to a fraction of elements randomly chosen at any given time. It is shown that the reinjection of the mean field to a fraction of randoml...
0612010v1
2006-12-22
Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization
A new type of intermittent behavior is described to occur near the boundary of phase synchronization regime of coupled chaotic oscillators. This mechanism, called ring intermittency, arises for sufficiently high initial mismatches in the frequencies of the two coupled systems. The laws for both the distribution and the...
0612049v1
1995-02-07
THE COUPLING OF THE $f_1(1285)$ MESON TO THE ISOSCALAR AXIAL CURRENT OF THE NUCLEON
The weak decay as well as the strong nucleon coupling constants of the isoscalar axial vector meson $f_1 (1285)$ are estimated within the octet quark model. It is shown that the empirical value for the coupling of $\overline{s}s$ quarkonium to nucleons can be understood by attributing the $f_1(1285)$-nucleon coupling t...
9502018v1
1998-09-11
Damping of giant resonances in asymmetric nuclear matter
The giant collective modes in asymmetric nuclear matter are investigated within a dynamic relaxation time approximation. We derive a coupled dispersion relation and show that two sources of coupling appear: (i) a coupling of isoscalar and isovector modes due to different mean-fields acting and (ii) an explicit new coup...
9809035v1
1999-01-13
About QCD sum rules for pion-nucleon coupling
We point out subtleties in the previous sum rule calculations of the $\pi NN$ coupling associated with using either the PV or the PS coupling schemes in modeling the phenomenological side. We propose a sum rule which is independent of the coupling schemes used and has less uncertainty in the OPE. The obtained value is ...
9901029v1
2000-06-30
On a q-analogue of the spin-orbit coupling
Based on the tensor method, a q-analoque of the spin-orbit coupling is introduced in a q-deformed Schroedinger equation, previously derived for a central potential. Analytic expressions for the matrix elemnets of the representation j=l\pm 1/2 are derived. The spectra of the harmonic oscillator and the Coulomb potential...
0006081v1
2003-09-15
Coupled collective motion in nuclear reactions
In this paper, we review the roles of collective modes in nuclear reactions. We emphaize the strong couplings of various collective states with the monopole and quadrupole motions. In inelastic excitation, these couplings can be seen as an important source of anharmonicity in the multiphonon spectrum. In fusion reactio...
0309036v1
2003-11-12
Goldberger-Treiman constraint criteria for hyperon coupling constants
The generalized Goldberger-Treiman relation is combined with the Dashen-Weinstein sum rule to provide a constraint equation between the g(KSigmaN) and g(KLambdaN) coupling constants. A comprehensive examination of the published phenomenological and theoretical hyperon couplings has yielded a much smaller set of values,...
0311039v2
2004-02-18
Gamow and R-matrix Approach to Proton Emitting Nuclei
Proton emission from deformed nuclei is described within the non-adiabatic weak coupling model which takes into account the coupling to $\gamma$-vibrations around the axially-symmetric shape. The coupled equations are derived within the Gamow state formalism. A new method, based on the combination of the R-matrix theor...
0402063v1
2004-06-05
The dielectric function excited by $ρNN$ tensor coupling in nuclear matter
The dielectric function of nuclear matter excited by $\rho NN$ tensor coupling has been studied in the framework of Finite temperature field theory. The induced current mechanism has been introduced to explain the three extrema on the dielectric function curve, of which one is in the space-like region and the other two...
0406014v1
2005-06-14
Random-phase approximation based on relativistic point-coupling models
The matrix equations of the random-phase approximation (RPA) are derived for the point-coupling Lagrangian of the relativistic mean-field (RMF) model. Fully consistent RMF plus (quasiparticle) RPA illustrative calculations of the isoscalar monopole, isovector dipole and isoscalar quadrupole response of spherical medium...
0506043v1
2006-03-23
Scalar-Meson - Baryon Coupling Constants in QCD Sum Rules
The external-field QCD Sum Rules method is used to evaluate the coupling constants of the light-isoscalar scalar meson (``\sigma'' or \epsilon) to the \Lambda, \Sigma, and \Xi baryons. It is shown that these coupling constants as calculated from QCD Sum Rules are consistent with SU(3)-flavor relations, which leads to a...
0603058v1
2007-03-28
The Friedrichs-Model with fermion-boson couplings II
In this work we present a formal solution of the extended version of the Friedrichs Model. The Hamiltonian consists of discrete and continuum bosonic states, which are coupled to fermions. The simultaneous treatment of the couplings of the fermions with the discrete and continuous sectors of the bosonic degrees of free...
0703091v1
1998-05-23
Optical microsphere resonators: optimal coupling to high-Q whispering gallery modes
A general model is presented for coupling of high-$Q$ whispering-gallery modes in optical microsphere resonators with coupler devices possessing discrete and continuous spectrum of propagating modes. By contrast to conventional high-Q optical cavities, in microspheres independence of high intrinsic quality-factor and c...
9805030v1
2004-05-03
On the role of coupling in mode selective excitation using ultrafast pulse shaping in stimulated Raman spectroscopy
The coherence of two, coupled two-level systems, representing vibrational modes in a semiclassical model, is calculated in weak and strong fields for various coupling schemes and for different relative phases between initial state amplitudes. A relative phase equal to $\pi$ projects the system into a dark state. The se...
0405011v1
2004-05-13
The program for the transformation of atomic state functions from LS- to jj-coupled basis
Here we present the program for the transformation of the expansions of the atomic state functions from LS- to jj-coupled bases. The program is a part of the coupling optimization package Laris and allows to transform the multiconfigurational expansions with the arbitrary number of open shells (including f-electrons) a...
0405061v1
2005-05-09
Bistable light detectors with nonlinear waveguide arrays
Bistability induced by nonlinear Kerr effect in arrays of coupled waveguides is studied and shown to be a means to conceive light detectors that switch under excitation by a weak signal. The detector is obtained by coupling two single 1D waveguide to an array of coupled waveguides with adjusted indices and coupling. Th...
0505062v2
2005-06-08
Fluorescence measurements of expanding strongly-coupled neutral plasmas
We report new detailed density profile measurements in expanding strongly-coupled neutral plasmas. Using laser-induced fluorescence techniques, we determine plasma densities in the range of 10^5 to 10^9/cm^3 with a time resolution limit as small as 7 ns. Strong-coupling in the plasma ions is inferred directly from the ...
0506069v2
2006-03-13
Mode coupling control in a resonant device: application to solid-state ring lasers
A theoretical and experimental investigation of the effects of mode coupling in a resonant macro- scopic quantum device is achieved in the case of a ring laser. In particular, we show both analytically and experimentally that such a device can be used as a rotation sensor provided the effects of mode coupling are contr...
0603099v1
2002-09-14
Saturation of the production of quantum entanglement between weakly coupled mapping systems in strongly chaotic region
The production of quantum entanglement between weakly coupled mapping systems, whose classical counterparts are both strongly chaotic, is investigated. In the weak coupling regime, it is shown that time correlation functions of the unperturbed systems determine the entanglement production. In particular, we elucidate t...
0209086v1
2003-01-18
Geometric Phase of electrons due to the Spin-rotation Coupling in Rotating C$_{60}$ Molecules
The rapidly rotational motion of C$_{60}$ molecules provides us with an ingenious way to test Mashhoon's spin-rotation coupling. The spin-rotation coupling of electrons in the rotating C$_{60}$ molecule is considered in the present letter. It is shown that the intrinsic spin (gravitomagnetic moment) of the electron tha...
0301094v3
2003-04-28
Quantum information processing using Josephson junctions coupled through cavities
Josephson junctions have been shown to be a promising solid-state system for implementation of quantum computation. The significant two-qubit gates are generally realized by the capacitive coupling between the nearest neighbour qubits. We propose an effective Hamiltonian to describe charge qubits coupled through the ca...
0304173v2
2003-09-11
Anticrossings in Foerster Coupled Quantum Dots
We consider two coupled generic quantum dots, each modelled by a simple potential which allows the derivation of an analytical expression for the inter-dot Foerster coupling, in the dipole-dipole approximation. We investigate the energy level behaviour of this coupled two-dot system under the influence of an external a...
0309099v2
2003-11-20
Entanglement generated between a single atom and a laser pulse
We quantify the entanglement generated between an atom and a laser pulse in free space. We find that the entanglement calculated using a simple closed-system Jaynes-Cummings Hamiltonian is in remarkable agreement with a full open-system calculation, even though the free-space geometry is far from the strong coupling re...
0311135v1
2005-02-22
Minimal coupling method and the dissipative scalar field theory
Quantum field theory of a damped vibrating string as the simplest dissipative scalar field investigated by its coupling with an infinit number of Klein-Gordon fields as the environment by introducing a minimal coupling method. Heisenberg equation containing a dissipative term proportional to velocity obtained for a spe...
0502134v2
2005-02-25
Time Optimal Control of Coupled Qubits Under Non-Stationary Interactions
In this article, we give a complete characterization of all the unitary transformations that can be synthesized in a given time for a system of coupled spin-1/2 in presence of general time varying coupling tensor. Our treatment is quite general and our results help to characterize the reachable set at all times for a c...
0502173v2
2005-09-22
Exact solution of quantum dynamics of a cantilever coupling to a single trapped ultracold ion
The quantum behavior of a precooled cantilever can be probed highly efficiently by coupling to a trapped ultracold ion, in which a fast cooling of the cantilever down to the ground vibrational state is possible. We solve the dynamics of the coupling system by a squeezed-state expansion technique, and can in principle o...
0509160v2
2005-10-11
Weak and strong coupling regimes, vacuum Rabi splitting and nonstandard resonances
For two discrete-level quantum systems in interaction, we follow the displacement in the complex plane of the eigen-energies of the compound system when the spectrum of one of the two systems becomes continuous. These new points are usually called resonances. This allows us to define and to calculate a critical value o...
0510075v1
2006-03-28
Ultrafast Coherent Coupling of Atomic Hyperfine and Photon Frequency Qubits
We demonstrate ultrafast coherent coupling between an atomic qubit stored in a single trapped cadmium ion and a photonic qubit represented by two resolved frequencies of a photon. Such ultrafast coupling is crucial for entangling networks of remotely-located trapped ions through photon interference, and is also a key c...
0603258v2
1997-01-31
Coupled Nonlinear Schrödinger equation and Toda equation (the Root of Integrability)
We consider the relation between the discrete coupled nonlinear Schr\"{o}dinger equation and Toda equation. Introducing complex times we can show the intergability of the discrete coupled nonlinear Schr\"{o}dinger equation. In the same way we can show the integrability in coupled case of dark and bright equations. Usin...
9701022v2
1998-05-02
Analytical Study of the Julia Set of a Coupled Generalized Logistic Map
A coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically and numerically. It is proved analytically that the Julia set disappears from the complex plane uniformly as a parameter ...
9805001v2
1999-07-02
New Integrable Coupled Nonlinear Schrodinger Equations
Two types of integrable coupled nonlinear Schrodinger (NLS) equations are derived by using Zakharov-Shabat (ZS) dressing method.The Lax pairs for the coupled NLS equations are also investigated using the ZS dressing method. These give new types of the integrable coupled NLS equations with certain additional terms. Then...
9907007v1
1995-07-07
Low-Field Phase Diagram of Layered Superconductors: The Role of Electromagnetic Coupling
We determine the position and shape of the melting line in a layered superconductor taking the electromagnetic coupling between layers into account. In the limit of vanishing Josephson coupling we obtain a new generic reentrant low-field melting line. Finite Josephson coupling pushes the melting line to higher temperat...
9507003v2
2007-04-21
Strong coupling limit/region of lattice QCD
We study the phase diagram of quark matter and nuclear properties based on the strong coupling expansion of lattice QCD. Both of baryon and finite coupling correction are found to have effects to extend the hadron phase to a larger mu direction relative to Tc. In a chiral RMF model with logarithmic sigma potential deri...
0704.2823v1
2007-04-26
Coupling of phonons and spin waves in triangular antiferromagnet
We investigate the influence of the spin-phonon coupling in the triangular antiferromagnet where the coupling is of the exchange-striction type. The magnon dispersion is shown to be modified significantly at wave vector (2pi,0) and its symmetry-related points, exhibiting a roton-like minimum and an eventual instability...
0704.3510v2
2007-04-29
Effect of Decoherence on the Dynamics of Bose-Einstein Condensates in a Double-well Potential
We study the dynamics of a Bose-Einstein condensate in a double-well potential in the mean-field approximation. Decoherence effects are considered by analyzing the couplings of the condensate to environments. Two kinds of coupling are taken into account. With the first kind of coupling dominated, the decoherence can en...
0704.3823v1
2007-05-03
Leader-following coordination of multi-agent systems with coupling time delays
In this paper, we consider a leader-following consensus problem of a group of autonomous agents with time-varying coupling delays. Two different cases of coupling topologies are investigated. At first, a necessary and sufficient condition is proved in the case when the interconnection topology is fixed and directed. Th...
0705.0401v1
2007-05-28
$WZ$ Production at $eγ$ Colliders and Anomalous Quartic $WWZγ$ Coupling
We investigate the constraints on the anomalous quartic $W^{+}W^{-}Z\gamma$ gauge boson coupling through the process $e^{-}\gamma\to \nu_{e}W^{-}Z$. Considering incoming beam polarizations and the longitudinal and transverse polarization states of the final W and Z boson we find 95% confidence level limits on the anoma...
0705.4075v2
2007-06-08
Analytical calculation of the transition to complete phase synchronization in coupled oscillators
Here we present a system of coupled phase oscillators with nearest neighbors coupling, which we study for different boundary conditions. We concentrate at the transition to total synchronization. We are able to develop exact solutions for the value of the coupling parameter when the system becomes completely synchroniz...
0706.1250v2
2007-07-04
Input-output relations for a 3-port grating coupled Fabry-Perot cavity
We analyze an optical 3-port reflection grating by means of a scattering matrix formalism. Amplitude and phase relations between the 3 ports, i.e. the 3 orders of diffraction are derived. Such a grating can be used as an all-reflective, low-loss coupler to Fabry-Perot cavities. We derive the input output relations of a...
0707.0625v1
2007-07-08
A Renormalization Group For Treating 2D Coupled Arrays of Continuum 1D Systems
We study the spectrum of two dimensional coupled arrays of continuum one-dimensional systems by wedding a density matrix renormalization group procedure to a renormalization group improved truncated spectrum approach. To illustrate the approach we study the spectrum of large arrays of coupled quantum Ising chains. We d...
0707.1160v1
2007-07-20
Stress Tensor of Static Dipoles in strongly coupled $\cal{N}$=4 Gauge Theory
In the context of the AdS/CFT correspondence we calculate the induced stress tensor of static dipoles (electric-electric and electric-magnetic) in a strongly coupled ${\cal N}=4$ SYM gauge theory, by solving the linearized Einstein equation with Maldecena string as a source. Analytic expressions are given for the far-f...
0707.3135v2
2007-07-25
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-mode...
0707.3653v1
2007-07-30
Bulk-edge coupling in the non-abelian $ν=5/2$ quantum Hall interferometer
Recent schemes for experimentally probing non-abelian statistics in the quantum Hall effect are based on geometries where current-carrying quasiparticles flow along edges that encircle bulk quasiparticles, which are localized. Here we consider one such scheme, the Fabry-Perot interferometer, and analyze how its interfe...
0707.4474v1
2007-08-07
Enhance synchronizability via age-based coupling
In this brief report, we study the synchronization of growing scale-free networks. An asymmetrical age-based coupling method is proposed with only one free parameter $\alpha$. Although the coupling matrix is asymmetric, our coupling method could guarantee that all the eigenvalues are non-negative reals. The eigneratio ...
0708.0863v1
2007-08-27
Asymptotics of QCD traveling waves with fluctuations and running coupling effects
Extending independently the Balitsky-Kovchegov (BK) equation to running coupling or to fluctuation effects due to Pomeron loops is known to lead in both cases to qualitative changes of the traveling-wave asymptotic solutions. In this paper we study the extension of the forward BK equation, including both running coupli...
0708.3659v3
2007-09-04
Polarized Single Top Quark Production in eγCollision and Anomalous Wtb Couplings
We investigate the potential of $e\gamma$ collisions to probe anomalous $Wtb$ couplings via the polarized single top quark production process $e^{+} \gamma \to t \bar{b} \bar{\nu_{e}}$. We find 95% confidence level limits on the anomalous coupling parameters $F_{2L}$ and $F_{2R}$ with an integrated luminosity of $500 f...
0709.0365v2
2007-09-07
The Adiabatic Instability on Cosmology's Dark Side
We consider theories with a nontrivial coupling between the matter and dark energy sectors. We describe a small scale instability that can occur in such models when the coupling is strong compared to gravity, generalizing and correcting earlier treatments. The instability is characterized by a negative sound speed squa...
0709.1124v1
2007-09-26
Nonperturbative Instability of AdS_5 x S^5/Z_k
We study the AdS/CFT correspondence with boundary conditions AdS_5 x S^5/Z_k, where the Z_k acts freely but breaks all supersymmetry. While there are closed string tachyons at small 't Hooft coupling, there are no tachyons at large coupling. Nevertheless, we show that there is a nonperturbative instability directly ana...
0709.4262v2
2007-09-29
Coupled nanopillar waveguides: optical properties and applications
In this paper we review basic properties of coupled periodic and aperiodic nanopillar waveguides. A coupled nanopillar waveguide consists of several rows of periodically or aperiodically placed dielectric rods (pillars). In such a waveguide, light confinement is due to the total internal reflection, while guided modes ...
0710.0054v1
2007-09-29
Elliptic functions and efficient control of Ising spin chains with unequal couplings
In this article, we study optimal control of dynamics in a linear chain of three spin 1/2, weakly coupled with unequal Ising couplings. We address the problem of time-optimal synthesis of multiple spin quantum coherences. We derive time-optimal pulse sequence for creating a desired spin order by computing geodesics on ...
0710.0075v1