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2020-05-26
Coupled McKean-Vlasov stochastic differential equations with jumps
This work concerns a type of coupled McKean-Vlasov stochastic differential equations (MVSDEs in short) with jumps. First, we prove superposition principles for these coupled MVSDEs with jumps and non-local space-distribution dependent Fokker-Planck equations. Since superposition principles are related to the well-posed...
2005.13036v2
2020-10-16
Maximal couplings of the Metropolis-Hastings algorithm
Couplings play a central role in the analysis of Markov chain Monte Carlo algorithms and appear increasingly often in the algorithms themselves, e.g. in convergence diagnostics, parallelization, and variance reduction techniques. Existing couplings of the Metropolis-Hastings algorithm handle the proposal and acceptance...
2010.08573v1
2020-10-16
Quasinormal Coupled Mode Theory
Coupled mode theory (CMT) is a powerful framework for decomposing interactions between electromagnetic waves and scattering bodies into resonances and their couplings with power-carrying channels. It has widespread use in few-resonance, weakly coupled resonator systems across nanophotonics, but cannot be applied to the...
2010.08650v2
2021-03-18
Noise-assisted routing in mode-coupling devices
The dynamical control of energy transfer between interacting systems is fundamental in diverse applications related to physical, electronic and chemical processes. Recent developments show that noise may enhance or suppress power transfer in systems described by Coupled-Mode Theory. We show a semi-analytic approach to ...
2103.10256v1
2021-05-10
Self-Bound Quantum Droplet with Internal Stripe Structure in 1D Spin-Orbit-Coupled Bose Gas
We study the quantum-droplet state in a 3-dimensional (3D) Bose gas in the presence of 1D spin-orbit-coupling and Raman coupling, especially the stripe phase with density modulation, by numerically computing the ground state energy including the mean-field energy and Lee-HuangYang correction. In this droplet state, the...
2105.04172v1
2021-10-15
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems
We present a loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling conditions. We apply a novel unified analysis for this scheme applied to both a Parabolic/Parabolic coupled system and a Parabolic/Hyperbolic coupled system. We show for both systems that the scheme is stable, and the error ...
2110.08181v1
2022-01-24
Combination of dissipative and dispersive coupling in the cavity optomechanical systems
An analysis is given for the Fabry-Perot cavity having a combination of dissipative and dispersive optomechanical coupling. It is established that the combined coupling leads to optical rigidity. At the same time, this rigidity appears in systems with the combined coupling on the resonant pump, which is not typical for...
2201.09920v1
2022-02-09
Rational design of piezoelectric metamaterials with tailored electro-momentum coupling
Piezoelectric materials have wide sensing and energy transduction applications due to their inherent coupling of mechanical deformation and electric field. Recent discoveries have revealed that asymmetric or heterogeneous microstructures of piezoelectric composites can create an additional coupling of macroscopic momen...
2202.04275v1
2022-10-12
Orthogonal Approximate Message-Passing for Spatially Coupled Linear Models
Orthogonal approximate message-passing (OAMP) is proposed for signal recovery from right-orthogonally invariant linear measurements with spatial coupling. Conventional state evolution is generalized to a unified framework of state evolution for the spatial coupling and long-memory case. The unified framework is used to...
2210.06019v2
2022-10-13
Long-Memory Message-Passing for Spatially Coupled Systems
This paper addresses the reconstruction of sparse signals from spatially coupled, linear, and noisy measurements. A unified framework of rigorous state evolution is established for developing long-memory message-passing (LM-MP) in spatially coupled systems. LM-MP utilizes all previous messages to compute the current me...
2210.06755v1
2023-01-30
Non-adiabatic derivative coupling elements for the coupled cluster singles and doubles model
We present an efficient implementation of analytical non-adiabatic derivative coupling elements for the coupled cluster singles and doubles model. The derivative coupling elements are evaluated in a biorthonormal formulation in which the nuclear derivative acts on the right electronic state, where this state is biortho...
2301.13264v1
2023-05-17
Couplings of Brownian motions on $SU(2,\mathbb{C})$ and $SL(2,\mathbb{R})$
The Lie groups $SU(2)$ and $SL(2,\mathbb{R})$ can be viewed as model spaces in subRiemannian geometry. Coupling two subelliptic Brownian motions on $SU(2)$ (resp. $SL(2,\mathbb{R})$) consists in coupling two Brownian motions on the sphere (resp. the hyperbolic plane) and simultaneously their swept areas. Using this app...
2305.10017v3
2023-09-07
Evaluating Microservice Organizational Coupling based on Cross-service Contribution
For traditional modular software systems, "high cohesion, low coupling" is a recommended setting while it remains so for microservice architectures. However, coupling phenomena commonly exist therein which are caused by cross-service calls and dependencies. In addition, it is noticeable that teams for microservice proj...
2309.03552v1
2023-10-25
Significance of Elastic Coupling for Stresses and Leakage in Frictional Contacts
We study how the commonly neglected coupling of normal and in-plane elastic response affects tribological properties when Hertzian or randomly rough indenters slide past an elastic body. Compressibility-induced coupling is found to substantially increase maximum tensile stresses, which cause materials to fail, and to d...
2310.16692v1
2023-12-06
"Quantum bipolaron'' superconductivity from quadratic electron-phonon coupling
When the electron-phonon coupling is quadratic in the phonon coordinates, electrons can pair to form bipolarons due to phonon zero-point fluctuations, a purely quantum effect. We study superconductivity originating from this pairing mechanism in a minimal model and reveal that, in the strong coupling regime, the critic...
2312.03844v3
2024-02-16
Mean field coupled dynamical systems: Bifurcations and phase transitions
We develop a bifurcation theory for infinite dimensional systems satisfying abstract hypotheses that are tailored for applications to mean field coupled chaotic maps. Our abstract theory can be applied to many cases, from globally coupled expanding maps to globally coupled Axiom A attractors. To illustrate the range of...
2402.11076v1
2024-02-19
On Coupling Constraints in Linear Bilevel Optimization
It is well-known that coupling constraints in linear bilevel optimization can lead to disconnected feasible sets, which is not possible without coupling constraints. However, there is no difference between linear bilevel problems with and without coupling constraints w.r.t. their complexity-theoretical hardness. In thi...
2402.12191v1
1995-11-23
Generalized phase transitions in finite coupled map lattices
We investigate generalized phase transitions of type localization - delocalization from one to several Sinai-Bowen-Ruelle invariant measures in finite networks of chaotic elements (coupled map lattices) with general graphs of connections in the limit of weak coupling.
9511005v1
1999-11-24
Renormalization Group Evolution and Infra-red Fixed Points in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation
We study the renormalization group evolution and infra-red stable fixed points of the Yukawa couplings and the soft supersymmetry breaking trilinear couplings of the minimal supersymmetric standard model with baryon and lepton number (and R-parity) violation involving the heaviest generations. We show analytically that...
9911464v2
2000-05-31
Can Nucleon Tell Where the Couplings Run?
The comparison of magnetic moments of neutron and proton reveals three possible states of a nucleon with the same correction of 0.033 for the central quarks. This may be interpreted as the contribution of a universal coupling as the common value where all the running couplings unite.
0005329v1
2001-03-01
Nonminimal Supersymmetric Standard Model with Baryon and Lepton Number Violation
We carry out a comprehensive analysis of the nonminimal supersymmetric standard model (NMSSM) with baryon and lepton number violation. We catalogue the baryon and lepton number violating dimension four and five operators of the model. We then study the renormalization group evolution and infrared stable fixed points of...
0103005v1
1997-05-27
The topology of multi-coupling deformations of CFT
We discuss the topological properties of the manifold of coupling constants for multi-coupling deformations of conformal field theories. We calculate the Euler and Betti numbers and briefly discuss physical applications of these results.
9705201v1
1999-04-06
A Comment on the Entropy of Strongly Coupled N=4
We propose a field theory argument, which rests on the non-renormalization of the two point function of the energy-momentum tensor, why the ratio between the entropies of strongly coupled and weakly coupled N=4 is of order one.
9904035v1
1991-09-21
The K_t-functional for the interpolation couple L_1(A_0),L_infinity(A_1)
Let (A_0,A_1) be a compatible couple of Banach spaces in the interpolation theory sense. We give a formula for the K_t-functional of the interpolation couples (l_1(A_0),c_0(A_1)) or (l_1(A_0),l_infinity(A_1)) and (L_1(A_0),L_infinity(A_1)).
9201232v1
2004-10-20
Coupling for some partial differential equations driven by white noise
We prove, using coupling arguments, exponential convergence to equilibrium for reaction--diffusion and Burgers equations driven by space-time white noise. We use a coupling by reflection.
0410441v1
1999-11-02
A Phase Transistion in the Water Coupled to a Local External Perturbation
A flux of ideal fluid coupled to perturbation is investigated by nonperturbative methods of the quantum field theory. Asymptotic behavior of the flux coupled to perturbation turns out to be similiar to that of superfluids.
9911002v1
2010-07-29
Dilaton coupling revisited
We reinvestigate the dilaton coupling in the string theory, which comes from a wrapped membrane. The ghost number anomaly associated with the string worldsheet diffeomorphism is shown to induce the dilaton coupling.
1007.5156v2
2012-09-03
The dynamics of a qubit coupled strongly with a quantum oscillator
The dynamics of a qubit coupled with a quantum oscillator is re-studied in the region of strong coupling. The non-degenerate perturbation is added to the usual degenerate one and new results are given.
1209.0321v1
2014-10-28
Existence of Bound and Ground States for a System of Coupled Nonlinear Schrödinger-KdV Equations
We prove the existence of bound and ground states for a system of coupled nonlinear Schr\"odinger-Korteweg-de Vries equations, depending on the size of the coupling coefficient.
1410.7638v2
2015-04-28
Fully Coupled Forward-backward Stochastic Differential Equations on Markov Chains
We define fully coupled forward-backward stochastic differential equations on spaces related to continuous time, finite state Markov Chains. Existence and uniqueness results of the fully coupled forward-backward stochastic differential equations on Markov Chains are obtained.
1504.07368v1
2018-09-04
Chiral magnetic interlayer coupling in synthetic antiferromagnets
The exchange coupling underlies ferroic magnetic coupling and is thus the key element that governs statics and dynamics of magnetic systems. This fundamental interaction comes in two flavors - symmetric and antisymmetric coupling. While symmetric coupling leads to ferro- and antiferromagnetism, antisymmetric coupling h...
1809.01080v2
2018-09-10
Probing top-quark couplings indirectly at Higgs factories
We perform a global effective-field-theory analysis to assess the combined precision on Higgs couplings, triple gauge-boson couplings, and top-quark couplings, at future circular $e^+e^-$ colliders, with a focus on runs below the $t\bar t$ production threshold. Deviations in the top-quark sector entering as one-loop co...
1809.03520v2
2020-12-01
Angle-Independent Plasmonic Substrates for Multi-Mode Vibrational Strong Coupling with Molecular Thin Films
Vibrational strong coupling of molecules to optical cavities based on plasmonic resonances has been explored recently, because plasmonic near-fields can provide strong coupling in sub-diffraction limited volumes. Such field localization maximizes coupling strength, which is crucial for modifying the vibrational respons...
2012.00710v2
2019-05-16
Measuring Higgs self couplings in the presence of VVH and VVHH at the ILC
The recent discovery of a Higgs boson at the LHC, while establishing the Higgs mechanism as the way of electroweak symmetry breaking, started an era of precision measurements involving the Higgs boson. In an effective Lagrangian framework, we consider the $e^+e^-\rightarrow ZHH$ process at the ILC running at a centre o...
1905.06601v1
2020-04-13
Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings
We study discrete solitons in zigzag discrete waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings. The waveguide array is constructed from two layers of one-dimensional (1D) waveguide arrays arranged in zigzag form. If we alternately label the number of wa...
2004.06006v1
2020-05-07
Coherent dynamics in frustrated coupled parametric oscillators
We explore the coherent dynamics in a small network of three coupled parametric oscillators and demonstrate the effect of frustration on the persistent beating between them. Since a single-mode parametric oscillator represents an analog of a classical Ising spin, networks of coupled parametric oscillators are considere...
2005.03562v2
2021-05-08
Are Low-energy Data already Hinting at Five Dimensions?
Low-energy data, combined with renormalization group (RG) equations, can predict new physics at far higher energy scales. In this paper, we consider the possibility that the measured Higgs boson mass and top quark mass hint at a five-dimensional gauge-Higgs unification (5D GHU) model at a scale above TeV. We note that ...
2105.03661v2
2021-09-14
Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks
We present a study on the emergence of a variety of spatio temporal patterns among neurons that are connected in a multiplex framework, with neurons on two layers with different functional couplings. With the Hindmarsh-Rose model for the dynamics of single neurons, we analyze the possible patterns of dynamics in each l...
2109.06615v2
2022-07-13
Non-geometric tilt-to-length coupling in precision interferometry: mechanisms and analytical descriptions
This paper is the second in a set of two investigating tilt-to-length (TTL) coupling. TTL describes the cross-coupling of angular or translational jitter into an interferometric phase signal and is an important noise source in precision interferometers, including space gravitational wave detectors like LISA. We discuss...
2207.06278v3
2022-11-18
High energy solutions of quadratic coupling Schrodinger equation with nonconstant potential
In this paper, we use the variational method, especially the perturbation method, to find the perturbed high energy solutions of the quadratic coupled Schrodinger system with asymmetric asymptotic potential and their asymptotic behavior as the coupling coefficient converges to 0.
2211.10115v1
2023-09-16
Entangling two giant atoms via a topological waveguide
We study the entanglement generation of two two-level giant atoms coupled to a photonic waveguide, which is formed by a Su-Schrieffer-Heeger (SSH) type coupled-cavity array. Here, each atom is coupled to the waveguide through two coupling points. We focus on the two-atom separate-coupling case, and consider sixteen cou...
2309.08856v1
2024-02-21
Non-Markovian maximal couplings and a vertical reflection principle on a class of sub-Riemannian manifolds
We develop non-Markovian, non-co-adapted couplings for sub-Riemannian Brownian motions in various sub-Riemannian manifolds, namely the three-dimensional Heisenberg group, higher-dimensional non-isotropic Heisenberg groups, SL(2,R) and its universal cover, and SU(2,C). Our primary focus is on the situation when the proc...
2402.13976v1
1998-08-02
Intermittency in coupled maps
Using a renormalization method, we study the critical behavior for intermittency in two coupled one-dimensional (1D) maps. We find two fixed maps of the renormalization transformation. They all have common relevant eigenvalues associated with scaling of the control parameter of the uncoupled 1D map. However, the releva...
9808002v1
1998-11-10
Coupling between electron-spin and ferromagnetic clusters
We analyze the adiabatic magnetization of ferromagnetic clusters in an intermediate coupling regime, where the anisotropic potential is comparable to other energy scales. We find a non-monotonic behavior of the magnetic susceptibility as a function of coupling with a peak. Coriolis coupling effects are calculated for t...
9811126v1
2004-02-11
Linearly Coupled Directed Percolation in the Strong Coupling Regime
We consider directed percolation processes for particle types A and B coupled unidirectionally by a transmutation reaction A -> B. It is shown that the strong coupling regime of this recently introduced problem defines a universality class with upper critical dimension d=6. Exact expressions are derived for the scaling...
0402316v1
2005-03-14
Transmission and Conversion of Energy by Coupled Soft Gears
Dynamical aspects of coupled deformable gears are investigated to clarify the differences of mechanical properties between the machines consist of hard materials and those of soft materials. In particular, the performances of two functions, the transmission and the conversion of the energy, are compared between the har...
0503320v2
2007-01-08
Effects of degree distribution in mutual synchronization of neural networks
We study the effects of the degree distribution in mutual synchronization of two-layer neural networks. We carry out three coupling strategies: large-large coupling, random coupling, and small-small coupling. By computer simulations and analytical methods, we find that couplings between nodes with large degree play an ...
0701138v1
2004-08-02
The purely gravitational generalization of spin-rotation couplings
The nature of Mashhoon's spin-rotation coupling is the interaction between a particle spin (gravitomagnetic moment) and a gravitomagnetic field. Here we will consider the coupling of graviton spin to the weak gravitomagnetic fields by analyzing the Lagrangian density of weak gravitational field, and hence study the pur...
0408005v1
2006-03-24
Torsion, Dilaton and Gauge Couplings
Non-Abelian gauge fields are traditionally not coupled to torsion due to violation of gauge invariance. However, it is possible to couple torsion to Yang-Mills fields while maintaining gauge invariance provided one accepts that the gauge couplings then become scalar fields. In the past this has been untenable from expe...
0603095v1
2002-05-10
Measurement of Boson Self Couplings at LEP and Search for Anomalies
With center of mass energies up to 209 GeV of LEP II, massive W and Z bosons can be produced in pairs and jointly with photons. This allows to study boson-boson couplings. Since the W and Z bosons are unstable and decay into fermions, two- and four-fermion final states, accompanied possibly by photons, play an importan...
0205024v3
2004-08-31
Higgs coupling constants as a probe of new physics
We study new physics effects on the couplings of weak gauge bosons with the lightest CP-even Higgs boson ($h$), $hZZ$, and the tri-linear coupling of the lightest Higgs boson, $hhh$, at the one loop order, as predicted by the two Higgs doublet model. Those renormalized coupling constants can deviate from the Standard M...
0408364v2
1996-09-18
Strong-Weak Coupling Duality in Quantum Mechanics
We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak one, giving information from the nonperturbative region of the parameters space...
9609156v1
2000-03-01
Measurability of the non-minimal coupling
The "measurability" of the non-minimal coupling is discussed in the context of the effective field theory of gravity. Although there is no obvious motive for excluding a non-minimal scalar coupling from the theory, we conclude that for reasonable values of the coupling constant it makes only a very small correction.
0003008v1
2005-09-20
Shy couplings
A pair of Markov processes is called a Markov coupling if both processes have the same transition probabilities and the pair is also a Markov process. We say that a coupling is ``shy'' if the processes never come closer than some (random) strictly positive distance from each other. We investigate whether shy couplings ...
0509458v1
1996-07-26
Validity of the linear coupling approximation in heavy-ion fusion reactions at sub barrier energies
The role of higher order coupling of surface vibrations to the relative motion in heavy-ion fusion reactions at near-barrier energies is investigated. The coupled channels equations are solved to all orders, and also in the linear and the quadratic coupling approximations. Taking $^{64}$Ni + $^{92,96}$Zr reactions as e...
9607053v1
1999-09-22
Coupled non-equilibrium growth equations: Self-consistent mode coupling using vertex renormalization
We find that studying the simplest of the coupled non-equilibrium growth equations of Barabasi by self-consistent mode coupling requires the use of dressed vertices. Using the vertex renormalization, we find a roughness exponent which already in the leading order is quite close to the numerical value.
9909046v1
2003-07-07
Suppressing Weak Ising Couplings: Tailored Gates for Quantum Computation
I describe the use of techniques based on composite rotations to develop controlled phase gates in which the effects of weak Ising couplings are suppressed. A tailored composite phase gate is described which both suppresses weak couplings and is relatively insensitive to systematic errors in the size of strong coupling...
0307050v1
2006-11-10
Non-Markovian Decay and Lasing Condition in an Optical Microcavity Coupled to a Structured Reservoir
The decay dynamics of the classical electromagnetic field in a leaky optical resonator supporting a single mode coupled to a structured continuum of modes (reservoir) is theoretically investigated, and the issue of threshold condition for lasing in presence of an inverted medium is comprehensively addressed. Specific a...
0611113v1
2007-05-24
Ground-state long-range order in quasi-one-dimensional Heisenberg quantum antiferromagnets: High-order coupled-cluster calculations
We investigate the ground-state magnetic long-range order of quasi-one-dimensional quantum Heisenberg antiferromagnets for spin quantum numbers s=1/2 and s=1. We use the coupled cluster method to calculate the sublattice magnetization in dependence on the inter-chain coupling. We find that for the unfrustrated spin-1/2...
0705.3582v2
2007-07-16
Odderon with a running coupling constant
The running coupling is introduced into the equation for the odderon via the bootstrap relation. It is shown that the previously found odderon state with a maximal intercept, which is constructed from antisymmetric pomeron wave function, continues to exist in the running coupling case. Its intercept is found to remain ...
0707.2314v1
2007-07-17
Desynchronization of pulse-coupled oscillators with delayed excitatory coupling
Collective behavior of pulse-coupled oscillators has been investigated widely. As an example of pulse-coupled networks, fireflies display many kinds of flashing patterns. Mirollo and Strogatz (1990) proposed a pulse-coupled oscillator model to explain the synchronization of South East Asian fireflies ({\itshape Pteropt...
0707.2442v1
2007-10-26
Unitarity constraints on MSSM trilinear couplings
For MSSM phenomenology, soft SUSY breaking dimension-three operators are important, in particular the couplings between Higgs bosons and squarks. In scattering processes, perturbative unitarity is violated at modest center-of-mass energy if these couplings are much larger than the masses of the scalar particles involve...
0710.5175v1
2007-11-16
Intermittency transition to generalized synchronization in coupled time-delay systems
In this paper, we report the nature of transition to generalized synchronization (GS) in a system of two coupled scalar piecewise linear time-delay systems using the auxiliary system approach. We demonstrate that the transition to GS occurs via on-off intermittency route and also it exhibits characteristically distinct...
0711.2611v1
2009-01-20
Coupled Mode Effects on Energy Transfer Rates in Two Temperature Plasmas
We investigate the effects of collective modes on the temperature relaxation rates in fully coupled electron-ion systems. Firstly, the well-understood limit of weakly coupled plasmas is considered and the coupled mode formula within the random phase approximation is derived starting from the Lenard-Balescu kinetic equa...
0901.3101v1
2009-02-19
Two atomic quantum dots interacting via coupling to BECs
We consider a system of three weakly coupled Bose-Einstein condensates and two atomic quantum dots embedded in the barriers between the condensates. Each dot is coupled to two neighboring condensates by optical transitions and can be described as a two-state system, or a pseudospin 1/2. Although there is no direct coup...
0902.3406v1
2009-02-28
Quantum Measurements of Coupled Two-Level Systems
We propose an approach to measuring nonresonant coupled systems, which gives a parametrically smaller error than the conventional fast projective measurements. The approach takes into account that, due to the coupling, excitations are not entirely localized on individual systems. It combines high spectral selectivity o...
0903.0012v1
2009-04-29
Electron-vibron coupling in suspended carbon nanotube quantum dots
Motivated by recent experiments, we investigate the electron-vibron coupling in suspended carbon nanotube quantum dots, starting with the electron-phonon coupling of the underlying graphene layer. We show that the coupling strength depends sensitively on the type of vibron and is strongly sample dependent. The coupling...
0904.4653v1
2009-08-03
Nonlinearly coupled harmonic oscillators: high frequency oscillations yield synchronization
Synchronization of coupled harmonic oscillators is investigated. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the first and third quadrants) of some projection of the relative distance (between the states of the pair being coupled) vector. Under the...
0908.0207v1
2010-01-19
Signature of strong atom-cavity interaction on critical coupling
We study a critically coupled cavity doped with resonant atoms with metamaterial slabs as mirrors. We show how resonant atom-cavity interaction can lead to a splitting of the critical coupling dip. The results are explained in terms of the frequency and lifetime splitting of the coupled system.
1001.3205v1
2010-08-19
A nonlocal connection between certain linear and nonlinear ordinary differential equations : Extension to coupled equations
Identifying integrable coupled nonlinear ordinary differential equations (ODEs) of dissipative type and deducing their general solutions are some of the challenging tasks in nonlinear dynamics. In this paper we undertake these problems and unearth two classes of integrable coupled nonlinear ODEs of arbitrary order. To ...
1008.3232v2
2010-09-02
Running Coupling Corrections to High Energy Inclusive Gluon Production
We calculate running coupling corrections for the lowest-order gluon production cross section in high energy hadronic and nuclear scattering using the BLM scale-setting prescription. In the final answer for the cross section the three powers of fixed coupling are replaced by seven factors of running coupling, five in t...
1009.0545v2
2011-01-17
Hydrodynamic coupling between two fluid membranes
The coupled in-plane diffusion dynamics between point-particles embedded in stacked fluid membranes are investigated. We calculate the contributions to the coupling longitudinal and transverse diffusion coefficients due to particle motion within the different as well as the same membranes. The stacked geometry leads to...
1101.3128v1
2011-03-16
Adjoint methods for obstacle problems and weakly coupled systems of PDE
The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of Hamilton-Jacobi equations, and weakly coupled systems of obstacle type. In particular, new results about the speed of convergence of common approximation procedures a...
1103.3226v2
2011-08-31
Plasma conductivity at finite coupling
By taking into account the full order(\alpha'^3) type IIB string theory corrections to the supergravity action, we compute the leading finite 't Hooft coupling order(\lambda^{-3/2}) corrections to the conductivity of strongly-coupled SU(N) {\cal {N}}=4 supersymmetric Yang-Mills plasma in the large N limit. We find that...
1108.6306v1
2011-09-21
Electron transport through a coupled double dot molecule: role of inter-dot coupling, phononic and dissipative effects
In this work, we have investigated conduction through an artificial molecule comprising two coupled quantum dots. The question addressed is the role of inter-dot coupling on electronic transport. We find that the current through the molecule exhibits step-like features as a function of the voltage between the leads, wh...
1109.4477v1
2012-03-06
Rotational optomechanical coupling of a spinning dielectric sphere
We formulate a non-relativistic Hamiltonian in order to describe how the rotational degrees of freedom of a dielectric sphere and quantized light fields are coupled. Such an interaction is shown to take a form of angular momentum coupling governed by the field angular momentum inside the dielectric. As a specific examp...
1203.1121v1
2012-03-09
Critical Reinvestigation on Vibronic Couplings in Picene from View of Vibronic Coupling Density Analysis
Vibronic coupling constants in the monoanionic, trianionic, and excited states of picene are evaluated from the total energy gradients using the density functional theory. Employing the calculated vibronic coupling constants in the excited state of the neutral molecule, electron energy loss spectrum (EELS) is simulated...
1203.2013v1
2012-03-30
Minimal coupling in oscillator models of quantum dissipation
The dissipative harmonic oscillator has two representations. In the first representation the central oscillator couples with its position to an oscillator bath. In the second one it couples with its momentum to the bath. Both representations are related by a unitary transformation. If the central oscillator couples wit...
1203.6804v1
2012-06-04
Circuit QED using a semiconductor double quantum dot
Vacuum Rabi splitting is observed in a coupled qubit-resonator system consisting of a GaAs double quantum dot and a coplanar waveguide resonator. Derived values of the qubit-resonator coupling strength and the decoherence rate indicate strong coupling, which assures distinct vacuum Rabi oscillation in the system. The a...
1206.0674v1
2012-07-17
Asymptotic Dynamics of a Class of Coupled Oscillators Driven by White Noises
This paper is devoted to the study of the asymptotic dynamics of a class of coupled second order oscillators driven by white noises. It is shown that any system of such coupled oscillators with positive damping and coupling coefficients possesses a global random attractor. Moreover, when the damping and the coupling co...
1207.3864v1
2012-07-25
Higgs Couplings after the Discovery
Following the ATLAS and CMS analyses presented around ICHEP 2012 we determine the individual Higgs couplings. The new data allow us to specifically test the effective coupling to photons. We find no significant deviation from the Standard Model in any of the Higgs couplings.
1207.6108v2
2012-09-28
Spin-Hamilton Operator, Graviton-Photon Coupling and an Eigenvalue Problem
We solve exactly the eigenvalue problem for a spin Hamilton operator describing graviton-photon coupling. Entanglement of the eigenstates are also studied. Other spin-coupled Hamilton operators involving spin-1 and spin-2 are also investigated and compared.
1209.6494v2
2012-10-28
Boson features in STM spectra of cuprate superconductors: Weak-coupling phenomenology
We derive the shape of the high-energy features due to a weakly coupled boson in cuprate superconductors, as seen experimentally in Bi_2 Sr_2 Ca_1 Cu_2 O_8+x (BSCCO) by Lee et al. [Nature (London) 442, 546 (2006)]. A simplified model is used of d-wave Bogoliubov quasiparticles coupled to Einstein oscillators with a mom...
1210.7490v2
2012-11-18
Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
We consider a (possibly) nonlinear interface problem in 2D and 3D, which is solved by use of various adaptive FEM-BEM coupling strategies, namely the Johnson-N\'ed\'elec coupling, the Bielak-MacCamy coupling, and Costabel's symmetric coupling. We provide a framework to prove that the continuous as well as the discrete ...
1211.4225v1
2012-11-19
Finite-size scaling in globally coupled phase oscillators with a general coupling scheme
We investigate a critical exponent related to synchronization transition in globally coupled nonidentical phase oscillators. The critical exponents of susceptibility, correlation time, and correlation size are significant quantities to characterize fluctuations in coupled oscillator systems of large but finite size and...
1211.4364v1
2013-03-11
Crossover between integer and fractional vortex lattices in coherently coupled two-component Bose-Einstein condensates
We study effects of the internal coherent (Rabi) coupling in vortex lattices in two-component BECs under rotation. We find how the vortex lattices without the Rabi coupling known before are connected to the Abrikosov lattice of integer vortices with increasing the Rabi coupling. We find that 1) for small Rabi couplings...
1303.2592v3
2013-03-14
On the skew-symmetric character of the couple-stress tensor
In this paper, the skew-symmetric character of the couple-stress tensor is established as the result of arguments from tensor analysis. Consequently, the couple-stress pseudo-tensor has a true vectorial character. The fundamental step in this development is that the isotropic couple-stress tensor cannot exist.
1303.3569v2
2013-03-21
Synchronization in hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment
The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system can show in-phase or complete synchronization, and also inverse-phase or anti-sy...
1303.5339v1
2013-03-26
Predicting the statistics of wave transport through chaotic cavities by the Random Coupling Model: a review and recent progress
In this review, a model (the Random Coupling Model) that gives a statistical description of the coupling of radiation into and out of large enclosures through localized and/or distributed channels is presented. The Random Coupling Model combines both deterministic and statistical phenomena. The model makes use of wave ...
1303.6526v1
2013-11-13
Synchronization of Coupled Boolean Phase Oscillators
We design, characterize, and couple Boolean phase oscillators that include state-dependent feedback delay. The state-dependent delay allows us to realize an adjustable coupling strength, even though only Boolean signals are exchanged. Specifically, increasing the coupling strength via the range of state-dependent delay...
1311.2996v2
2013-11-13
BSM Theories Face Higgs Coupling data
We discuss how much Higgs couplings (including the Higgs self coupling) can deviate from their Standard Model values, in different Beyond Standard Model (BSM) theories, if no other BSM states are accessible at the LHC. Then, we focus on supersymmetric theories and show that there is a connection between the mechanism t...
1311.3040v1
2013-11-25
Existence of pulses in excitable media with nonlocal coupling
We prove the existence of fast traveling pulse solutions in excitable media with non-local coupling. Existence results had been known, until now, in the case of local, diffusive coupling and in the case of a discrete medium, with finite-range, non-local coupling. Our approach replaces methods from geometric singular pe...
1311.6508v1
2014-04-08
Coupled Matrix Factorization within Non-IID Context
Recommender systems research has experienced different stages such as from user preference understanding to content analysis. Typical recommendation algorithms were built on the following bases: (1) assuming users and items are IID, namely independent and identically distributed, and (2) focusing on specific aspects su...
1404.7467v2
2014-07-21
Gradient Estimates for Nonlinear Diffusion Semigroups by Coupling Methods
Our purpose is to obtain gradient estimates for certain nonlinear partial differential equations by coupling methods. First we derive uniform gradient estimates for a certain semi-linear PDEs based on the coupling method introduced in Wang (2011) and the theory of backward SDEs. Then we generalize Wang's coupling to th...
1407.5426v1
2014-08-29
High fidelity quantum state transfer in electromechanical systems with intermediate coupling
Hybrid quantum systems usually consist of two or more subsystems, which may take the advantages of the different systems. Recently, the hybrid system consisting of circuit electromechanical subsystems have attracted great attention due to its advanced fabrication and scalable integrated photonic circuit techniques. Her...
1408.7015v1
2014-10-01
Resurgence and Holomorphy: From Weak to Strong Coupling
We analyze the resurgence properties of finite-dimensional exponential integrals which are prototypes for partition functions in quantum field theories. In these simple examples, we demonstrate that perturbation theory, even at arbitrarily weak coupling, fails as the argument of the coupling constant is varied. It is w...
1410.0388v3
2015-05-05
Numerical corrections to the strong coupling effective Polyakov-line action for finite T Yang-Mills theory
We consider a three-dimensional effective theory of Polyakov lines derived previously from lattice Yang-Mills theory and QCD by means of a resummed strong coupling expansion. The effective theory is useful for investigations of the phase structure, with a sign problem mild enough to allow simulations also at finite den...
1505.01021v1
2015-06-21
Giant enhancement of tunable optomechanical coupling via ultrarefractive medium
Exploring the fundamental quantum behaviour of optomechanical resonators is of great interest recently but requires the realization of the strong coupling regime. We study the optical photon-phonon coupling of the so-called membrane in the middle (MITM) optomechanical system. Using coupled-mode theory we find that the ...
1506.06315v1
2015-06-23
Mode coupling and photon antibunching in a bimodal cavity containing a dipole-quantum-emitter
We study the effect of mode-coupling on a single-photon device in which a dipole-quantum-emitter (DQE) is embedded in a bimodal whispering-gallery-mode cavity (WGMC). A scatterer is used to induce mode coupling between counter-clockwise and clockwise propagating light fields, which interact with the DQE. In contrast to...
1506.06889v1
2015-09-11
Relational reasoning via probabilistic coupling
Probabilistic coupling is a powerful tool for analyzing pairs of probabilistic processes. Roughly, coupling two processes requires finding an appropriate witness process that models both processes in the same probability space. Couplings are powerful tools proving properties about the relation between two processes, in...
1509.03476v2