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2021-04-18
Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D
This paper is devoted to study exact controllability of two one-dimensional coupled wave equations with first-order coupling terms with coefficients depending on space and time. We give a necessary and sufficient condition for both exact controllability in high frequency in the general case and the unique continuation ...
2104.08960v2
2021-05-07
Optomechanical amplification driven by interference of phonon-exciton and phonon-photon couplings
We study theoretically optomechanical damping and amplification spectra for vibrations interacting with excitonic polaritons in a zero-dimensional microcavity. We demonstrate, that the spectra strongly depend on the ratio of the exciton-phonon and the photon-phonon coupling constants. The interference between these cou...
2105.03214v1
2021-05-11
Note: Vibronic coupling in light-harvesting complex II revisited
We discuss our recent theoretical work on vibronic coupling mechanisms in a model energy transfer system in the context of previous 2DEV experiments on a natural light-harvesting system, light-harvesting complex II (LHCII), where vibronic signatures were suggested to be involved in energy transfer. In this comparison, ...
2105.04725v1
2021-05-11
Symmetry-protected non-Abelian geometric phases in optical waveguides with nonorthogonal modes
The generation of non-Abelian geometric phases from a system of evanescently coupled waveguides is extended towards the framework of nonorthogonal coupled-mode theory. Here, we study an experimentally feasible tripod arrangement of waveguides that contain dark states from which a nontrivial U(2)-mixing can be obtained ...
2105.04859v1
2021-05-31
Insights into the performance of loosely-coupled FSI schemes based on Robin boundary conditions
Robin boundary conditions are a natural consequence of employing Nitsche's method for imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI schemes based on Dirichlet-Robin or Robin-Robin coupling have been demonstrated to improve the stability of such schemes with respect to adde...
2105.14831v1
2021-06-03
Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection
In this paper we discuss a hybridised method for FEM-BEM coupling. The coupling from both sides use a Nitsche type approach to couple to the trace variable. This leads to a formulation that is robust and flexible with respect to approximation spaces and can easily be combined as a building block with other hybridised m...
2106.01720v2
2021-06-06
Arazy-Cwikel and Calderón-Mityagin type properties of the couples $(\ell^{p},\ell^{q})$, $0 \le p<q\le\infty$
We establish Arazy-Cwikel type properties for the family of couples $(\ell^{p},\ell^{q})$, $0\le p<q\le\infty$, and show that $(\ell^{p},\ell^{q}) $ is a Calder\'on-Mityagin couple if and only if $q\ge1$. Moreover, we identify interpolation orbits of elements with respect to this couple for all $p$ and $q$ such that $0...
2106.03083v2
2021-06-10
Invariant cones for linear elliptic systems with gradient coupling
We discuss counterexamples to the validity of the weak Maximum Principle for linear elliptic systems with zero and first order couplings and prove, through a suitable reduction to a nonlinear scalar equation, a quite general result showing that some algebraic condition on the structure of gradient couplings and a coope...
2106.05523v1
2021-06-21
Unbalanced clustering and solitary states in coupled excitable systems
We demonstrate the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled excitable systems with prevalent repulsive interactions. Solitary states in non-locally coupled arrays inherit their dynamical features from unb...
2106.10930v1
2021-06-22
Wave Dark Matter Non-minimally Coupled to Gravity
We consider a model where a light scalar field (with mass $\lesssim 30\, {\rm eV}$), conjectured to be dark matter, has a non-minimal coupling to gravity. In the non-relativistic limit, this new coupling introduces a self-interaction term in the scalar-field equation of motion, and modifies the source term for the grav...
2106.11971v1
2021-07-11
Local and nonlocal energy-based coupling models
In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the first strategy the coupling is given via source terms in the equation and in the second one a flux condition in the local part appears. For both...
2107.05083v1
2021-07-23
Coherent coupling of mechanics to a single nuclear spin
Nuclear spins interact weakly with their environment. In particular, they are generally insensitive to mechanical vibrations. Here, we successfully demonstrate the coherent coupling of mechanics to a single nuclear spin. This coupling is mediated by a silicon vacancy (SiV) centre in diamond, taking advantage of its lar...
2107.10961v1
2021-07-29
All-optical transistor with cavity polaritons
we investigate the transmission of probe laser beam in a coupled-cavity system with polaritons by using standard input-output relation of optical fields, and proposed a theoretical schema for realizing a polariton-based photonic transistor. On account of effects of exciton-photon coupling and single-photon optomechanic...
2107.13714v1
2021-08-19
Stability and Stabilization of Coupled Jump Diffusions and Applications
This paper develops stability and stabilization results for systems of fully coupled jump diffusions. Such systems frequently arise in numerous applications where each subsystem (component) is operated under the influence of other subsystems (components). This paper derives sufficient conditions under which the underly...
2108.08866v1
2021-08-25
Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes
In this work, we present a stochastic variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. The light-matter coupled system is described by the Pauli-Fierz Hamiltonian. The spatial wave function and the photon spaces are optimized by a random selec...
2108.11229v1
2021-08-30
$a_{1}$ meson-nucleon coupling constant at finite temperature from the soft-wall AdS/QCD model
We study the temperature dependence of the $a_1$ meson-nucleon coupling constant in the framework of the soft-wall AdS/QCD model with thermal dilaton field. Profile functions for the axial-vector and fermion fields in the AdS-Schwarzschild metric are presented. It is constructed an interaction Lagrangian for the fermio...
2108.13513v2
2021-09-07
Taming lattice artifacts with Pauli--Villars fields
As fermions are added to a lattice gauge theory, one is driven to stronger bare coupling in order to maintain the same renormalized coupling. Stronger bare couplings are usually associated with larger gauge fluctuations, leading to larger cutoff effects and more expensive simulations. In theories with many light fermio...
2109.02790v1
2021-09-07
Creating moving gap solitons in spin-orbit-coupled Bose-Einstein condensates
A simple and efficient method to create gap solitons is proposed in a spin-orbit-coupled spin-1 Bose-Einstein condensate. We find that a free expansion along the spin-orbit coupling dimension can generate two moving gap solitons, which are identified from a generalized massive Thirring model. The dynamics of gap solito...
2109.02871v1
2021-10-25
Signatures of Weak Spin-Phonon Coupling in 12R-BaTi0.4Mn0.6O3: A Raman Study
Antiferromagnetic materials with strong spin-phonon coupling have the potential for spintronic applications. Here, we report the structural, magnetic, and vibrational properties of 12R-BaTi0.4Mn0.6O3. Temperature-dependent magnetization data show the presence of weak antiferromagnetic interactions. Correlation between ...
2110.13807v1
2021-11-16
Pairing of electro-magnetic bosons under spin-orbit coupling
We discuss pairing of light-matter bosons under effective spin-orbit (SO) coupling in two-dimensional semiconductors. The SO coupling is shown to induce dynamical broadening of a two-body bound state. Application of a transverse magnetic field yields the rich Feshbach resonance phenomenology. We predict quantum bosonic...
2111.08782v1
2021-11-22
Particle and spin transports of spin-orbit coupled Fermi gas through a Quantum Point Contact
The particle and spin transport through a quantum point contact between two Fermi gases with Raman-induced spin-orbit coupling are investigated. We show that the particle and spin conductances both demonstrate the structure of plateau due to the mesoscopic scale of the quantum point contact. Compared with the normal Fe...
2111.11054v1
2021-11-24
Donnan Equilibrium Revisited: Coupling between Ion Concentrations, Osmotic Pressure, and Donnan Potential
This paper discusses the little-known fact that Donnan's equilibrium criteria established over 100 years ago neglected the coupling between ion concentrations and the osmotic pressure. Such coupling can be treated based on general thermodynamic considerations including the solvent equilibrium, leading to a membrane pot...
2111.12565v1
2021-11-29
Competing Correlated Insulators in multi-orbital systems coupled to phonons
We study the interplay between electron-electron interaction and a Jahn-Teller phonon coupling in a two-orbital Hubbard model. We demonstrate that the e-ph interaction coexists with the Mott localization driven by the Hubbard repulsion U, but it competes with the Hund's coupling J. This interplay leads to two spectacul...
2111.14663v1
2021-11-30
Global weak solutions for the Landau-Lifshitz-Gilbert-Vlasov-Maxwell system coupled via emergent electromagnetic fields
Motivated by recent models of current driven magnetization dynamics, we examine the coupling of the Landau-Lifshitz-Gilbert equation and classical electron transport governed by the Vlasov-Maxwell system. The interaction is based on space-time gyro-coupling in the form of emergent electromagnetic fields of quantized he...
2111.15482v1
2021-12-27
Symplecticity of coupled Hamiltonian systems
We derived a condition under which a coupled system consisting of two finite-dimensional Hamiltonian systems becomes a Hamiltonian system. In many cases, an industrial system can be modeled as a coupled system of some subsystems. Although it is known that symplectic integrators are suitable for discretizing Hamiltonian...
2112.13589v1
2022-01-02
Quantitative control of Wasserstein distance between Brownian motion and the Goldstein--Kac telegraph process
In this manuscript, we provide a non-asymptotic process level control between the telegraph process and the Brownian motion with suitable diffusivity constant via a Wasserstein distance with quadratic average cost. In addition, we derive non-asymptotic estimates for the corresponding time average $p$-th moments. The pr...
2201.00422v3
2022-03-28
Ruling out an inflation driven by a power law potential: kinetic coupling does not help
We demonstrate that the latest constraints on inflationary observables, namely the tensor-to-scalar ratio $r$ and the scalar spectral index $n_{_S}$, from the Cosmic Background Radiation (CMB) observations are already strong enough to rule out the model of a scalar field with a power law potential even in the presence ...
2203.14599v3
2022-04-08
Stability of Multi-dimensional Nonlinear Piezoelectric Beam with Viscoelastic Infinite Memory
The long time behavior of a kind of fully magnetic effected nonlinear piezoelectric beam with viscoelastic infinite memory is considered. The well-posedness of this nonlinear coupled PDEs system is showed by mean of the semigroup theories and Banach fixed point theorem. Based on frequency domain analysis, it is proved ...
2204.03824v2
2022-06-17
Dynamics of a nonminimally coupled scalar field in asymptotically $AdS_4$ spacetime
We numerically investigate the stability of four-dimensional asymptotically anti-de Sitter ($AdS_4$) spacetime for a class of nonminimally coupled scalar field theories. In particular, we study how the coupling affects the formation of black holes and transfer of energy to different spatial/temporal scales. We conclude...
2206.08854v2
2022-06-25
High cooperativity coupling of rare earth spins with planar superconducting resonator
Interfacing superconducting microwave resonator with rare earth doped crystals presents a promising hybrid quantum system for applications including spin-assisted transducers and memories. The coupling strength between spins of rare earth ions and the microwave photons is characterized by the cooperativity. Here we rep...
2206.12646v1
2022-07-12
Controlled unidirectional reflectionlessness by coupling strength in a non-Hermitian waveguide quantum electrodynamics system
Unidirectional reflectionlessness is investigated in a waveguide quantum electrodynamics system that consists of a cavity and a $\Lambda$-type three-level quantum dot coupled to a one-dimensional plasmonic waveguide. Analytical expressions of transmission and reflection coefficients are derived and discussed for both r...
2207.05440v1
2022-07-25
Pure dephasing induced single-photon parametric down-conversion in an ultrastrong coupled plasmon-exciton system
In coupled quantum systems pure dephasing mechanisms acting on one constituent of the hybrid system break symmetry and enable optical transitions which are forbidden in the non-coupled system, i.e., the pure dephasing bath opens a cascaded dissipation pathway. Here we show that this mechanism enables single-photon indu...
2207.12293v1
2022-07-27
Squeezing of a coupled state of two spin-1 systems
The nature of spin squeezing has been studied earlier for a coupled state of two spinors by Usha Devi et. al. (J. Phys. A: Math. Gen. 36 5333 (2003)). In this paper, we extend this study to a coupled state of two spin-1 systems. Here, we show that the direct product of two spin-1 states exhibits squeezing unlike the di...
2207.13439v1
2022-08-03
Thermalization of weakly coupled non-Abelian plasmas at next-to-leading order
We employ the QCD kinetic theory, including next-to-leading(NLO) order corrections in coupling constant, to study the evolution of weakly coupled non-Abelian plasmas towards thermal equilibrium. For two characteristic far-from-equilibrium systems with either under- or over-occupied initial conditions, the NLO correctio...
2208.02196v1
2022-08-04
Globally coupled Anosov diffeomorphisms: Statistical properties
We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Using transfer operators acting on anisotropic Banach spaces, we prove that the coupled system admits a unique physical invariant state, $h_\varepsilon$. Moreover, we prove exponential convergence to equilibrium for a suit...
2208.02517v3
2022-08-10
Improving quantum annealing by engineering the coupling to the environment
A large class of optimisation problems can be mapped to the Ising model where all details are encoded in the coupling of spins. The task of the original mathematical optimisation is then equivalent to finding the ground state of the corresponding spin system which can be achieved via quantum annealing relying on the ad...
2208.05270v1
2022-08-11
Exact analytical soliton solutions of $N$-component coupled nonlinear Schrödinger equations with arbitrary nonlinear parameters
Exact analytical soliton solutions play an important role in soliton fields. Soliton solutions were obtained with some special constraints on the nonlinear parameters in nonlinear coupled systems, but they usually do not holds in real physical systems. We successfully release all usual constrain conditions on nonlinear...
2208.05696v1
2022-08-29
The Hierarchical Parity Model
Hierarchical spin-glasses are Ising spin models defined by recursively coupling together two equally-sized sub-systems. In this work a new hierarchical spin system is introduced wherein the sub-systems are recursively coupled together through the parity of their spins. Exact Renormalization Group recursion equations fo...
2208.13316v1
2022-08-29
The Effect of Duschinskii Rotations on Spin-Dependent Electron Transfer Dynamics
We investigate spin-dependent electron transfer in the presence of a Duschinskii rotation. In particular, we propagate dynamics for a two-level model system for which spin-orbit coupling introduces an interstate coupling of the form $e^{iWx}$, which is both position(x)-dependent and complex-valued. We demonstrate that ...
2208.13378v1
2022-10-20
Dissociation slowdown by collective optical response under strong coupling conditions
We consider an ensemble of diatomic molecules resonantly coupled to an optical cavity under strong coupling conditions at normal incidence. Photodissociation dynamics is examined via direct numerical integration of the coupled Maxwell-Schrodinger equations with molecular ro-vibrational degrees of freedom explicitly tak...
2210.10943v2
2022-11-23
Asynchronous global-local non-invasive coupling for linear elliptic problems
This paper presents the first asynchronous version of the Global/Local non-invasive coupling, capable of dealing efficiently with multiple, possibly adjacent, patches. We give a new interpretation of the coupling in terms of primal domain decomposition method, and we prove the convergence of the relaxed asynchronous it...
2211.13073v1
2022-12-16
Giant optomechanical coupling and dephasing protection with cavity exciton-polaritons
Electronic resonances can significantly enhance the photon-phonon coupling in cavity optomechanics, but are normally avoided due to absorption losses and dephasing by inhomogeneous broadening. We experimentally demonstrate that exciton-polaritons in semiconductor microcavities enable GHz optomechanics with single-parti...
2212.08269v1
2022-12-21
Shape-tension coupling produces nematic order in an epithelium vertex model
We study the vertex model for epithelial tissue mechanics extended to include coupling between the cell shapes and tensions in cell-cell junctions. This coupling represents an active force which drives the system out of equilibrium and leads to the formation of nematic order interspersed with prominent, long-lived $+1$...
2212.11037v1
2023-01-12
Analytical Approximations for Generalized Landau-Zener Transitions in Multi-level Non-Hermitian Systems
We study the dynamics of non-adiabatic transitions in non-Hermitian multi-level parabolic models where the separations of the diabatic energies are quadratic function of time. The model Hamiltonian has been used to describe the non-Hermitian dynamics of two pairs of coupled cavities. In the absence of the coupling betw...
2301.04816v1
2023-02-10
Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
In a two-dimensional atomic Bose-Einstein condensate, we demonstrate Rashba spin-orbit coupling can always introduce dynamical instability into specific zero-quasimomentum states in all parameter regimes. During the evolution of the zero-quasimomentum states, such spin-orbit-coupling-induced instability can fragment th...
2302.05101v2
2023-02-23
Classic Harmonic Oscillator Model of Coupled Metal Nanoparticles with Arbitrary Configuration in Plane
A classic harmonic oscillator model is developed to investigate the optical properties of coupled metal nanoparticles (MNPs) with arbitrary configuration in plane. The coupling coefficients are derived from classical electrodynamics. Using this model, we can easily obtain the spectra of coupled MNPs varying with the co...
2302.11986v1
2023-03-02
Energy-Conserving Coupled Trajectory Mixed Quantum Classical Dynamics
The coupled-trajectory mixed quantum classical method (CTMQC), derived from the exact factorization approach, has successfully predicted photo-chemical dynamics in a number of interesting molecules, capturing population transfer and decoherence from first-principles. However, due to the approximations made, CTMQC does ...
2303.01376v1
2023-03-02
An injective martingale coupling
We give an injective martingale coupling; in particular, given measures $\mu$ and $\nu$ in convex order on $\mathbb{R}$ such that $\nu$ is continuous, we construct a martingale coupling $\pi$ of the two measures with disintegration $\pi(dx,dy) = \pi_x(dy) \mu(dx)$ such that $\#\{ x : y \in \textrm{supp}( \pi_x ) \} = 1...
2303.01578v1
2023-03-07
Some Coupled Fixed Point Theorems for (ψ, φ)- contraction with Applications to Fractals
In this paper, we obtain coupled fixed point theorem for (\psi, \phi)-contractions under some generalized conditions on the real valued functions \psi and \phi defined on (0,\infinity). Also, we present a generalized version of coupled fixed point theorem for the same (\psi, \phi)- contractions. A new approach to fract...
2303.03710v1
2023-03-07
Quadrupole instability of static scalarized black holes
The addition of a Ricci coupling to Einstein-scalar-Gauss-Bonnet theories makes general relativity a cosmological attractor. Previous work considered a quadratic coupling function with two independent coupling constants in such theories and showed that static, spherically symmetric, spontaneously scalarized black holes...
2303.04107v1
2023-03-10
Theory of nonlinear whispering gallery mode dynamics in a cylindrical microresonator with a radius variation
We propose a comprehensive model describing the Kerr nonlinear dynamics of an electric field in a cylindrical microresonator with an effective radius variation, coupled to a radiation source. The proposed system of equations for coupled azimuthal modes takes into account full azimuthal dispersion as well as the influen...
2303.05795v1
2023-03-17
K-Essence Induced by Derivative Couplings of the Inflaton
We consider two models which couple derivatives of the inflaton to ordinary matter, both to fermions and to scalars. Such couplings induce changes to the inflaton kinetic energy, analogous to the cosmological Coleman-Weinberg potentials which come from nonderivative couplings. Our purpose is to investigate whether thes...
2303.09880v2
2023-05-25
Linear Ultrastrong Optomechanical Interaction
Light-matter interaction in the ultrastrong coupling regime can be used to generate exotic ground states with two-mode squeezing and may be of use for quantum enhanced sensing. Current demonstrations of ultrastrong coupling have been performed in fundamentally nonlinear systems. We report a cavity optomechanical system...
2305.16226v1
2023-05-28
The asymptotic behaviour of the many-body coupled cluster amplitudes
We analyze the asymptotic behaviour of the coupled cluster many-body wave-function in the limit of highly excited two- and three-particles states. We find that in this limit the different coupled cluster amplitudes exhibit a recurring behaviour, factorizing into a common asymptotic two- or three-body term. These asympt...
2305.17649v1
2023-06-15
Toward collective chemistry by strong light-matter coupling
Strong light-matter coupling provides a versatile and novel means to manipulate chemical processes. Here we develop a theoretical framework to investigate the spectroscopy and dynamics of a molecular ensemble embedded in an optical cavity under the collective strong coupling regime. This theory is constructed by a pseu...
2306.08944v1
2023-06-21
A Precise Electron EDM Constraint on CP-odd Heavy-Quark Yukawas
CP-odd Higgs couplings to bottom and charm quarks arise in many extensions of the standard model and are of potential interest for electroweak baryogenesis. These couplings induce a contribution to the electron EDM. The experimental limit on the latter then leads to a strong bound on the CP-odd Higgs couplings. We poin...
2306.12478v1
2023-07-04
Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks
We study the transition to synchronization in large, dense networks of chaotic circle maps, where an exact solution of the mean-field dynamics in the infinite network and all-to-all coupling limit is known. In dense networks of finite size and link probability of smaller than one, the incoherent state is meta-stable fo...
2307.01606v1
2023-07-08
Coupling high-overtone bulk acoustic wave resonators via superconducting qubits
In this work, we present a device consisting of two coupled transmon qubits, each of which are coupled to an independent high-overtone bulk acoustic wave resonator (HBAR). Both HBAR resonators support a plethora of acoustic modes, which can couple to the qubit near resonantly. We first show qubit-qubit interaction in t...
2307.05544v1
2023-07-18
Propagation of Coupled Acoustic, Electromagnetic and Spin Waves in Saturated Ferromagnetoelastic Solids
We study the propagation of plane waves in an unbounded body of a saturated ferromagnetoelastic solid. The equations by Tiersten for small fields superposed on finite initial fields in a saturated ferromagnetoelastic material are employed, with their quasistatic magnetic field extended to dynamic electric and magnetic ...
2307.09171v1
2023-07-22
Spin-orbit-coupling-induced phase separation in trapped Bose gases
In a trapped spin-1/2 Bose-Einstein condensate with miscible interactions, a two-dimensional spin-orbit coupling can introduce an unconventional spatial separation between the two components. We reveal the physical mechanism of such a spin-orbit-coupling-induced phase separation. Detailed features of the phase separati...
2307.12177v2
2023-07-27
A minimal quantum heat pump based on high-frequency driving and non-Markovianity
We propose a minimal setup for a quantum heat pump, consisting of two tunnel-coupled quantum dots, each hosting a single level and each being coupled to a different fermionic reservoir. The working principle relies on both non-Markovian system-bath coupling and driving induced resonant coupling. We describe the system ...
2307.14892v1
2023-08-10
Asymptotic stability conditions for linear coupled impulsive systems with time-invariant subsystems
This article proposes an approach to construct a Lyapunov function for a linear coupled impulsive system consisting of two time-invariant subsystems. In contrast to various variants of small-gain stability conditions for coupled systems, the asymptotic stability property of independent subsystems is not assumed. To ana...
2308.05635v1
2023-08-21
Chaotic behavior in diffusively coupled systems
We study emergent oscillatory behavior in networks of diffusively coupled nonlinear ordinary differential equations. Starting from a situation where each isolated node possesses a globally attracting equilibrium point, we give, for an arbitrary network configuration, general conditions for the existence of the diffusiv...
2308.10472v1
2023-08-23
Tensor meson couplings in AdS/QCD
We study the hadronic and radiative couplings of the $f_2(1270)$ meson within the hard- and soft-wall models of AdS/QCD. The results for the tensor meson-nucleon-nucleon coupling ($g_{f_2NN}$) and tensor meson-photon-vector meson coupling ($g_{f_2\gamma\rho}$) are compared to the ones obtained by using the dispersion r...
2308.12392v2
2023-08-31
Suppressing electron disorder-induced heating of ultracold neutral plasma via optical lattice
Disorder-induced heating (DIH) prevents ultracold neutral plasma into electron strong coupling regime. Here we propose a scheme to suppress electronic DIH via optical lattice. We simulate the evolution dynamics of ultracold neutral plasma constrained by three-dimensional optical lattice using classical molecular dynami...
2308.16473v1
2023-09-18
Electrically coupled optomechanical cavities as a tool for quantum nondemolition measurement
We present a new model of two electrically coupled optomechanical cavities. This model is based on the recently presented [Physical Review A \textbf{103} (2021) 043509]. We found that coupling two optomechanical cavities via Coulomb force leads to cross-Kerr interactions between those cavities. We show that such system...
2309.10159v1
2023-07-03
Uncertainty principles associated with the short time quaternion coupled fractional Fourier transform
In this paper, we extend the coupled fractional Fourier transform of a complex valued functions to that of the quaternion valued functions on $\mathbb{R}^4$ and call it the quaternion coupled fractional Fourier transform (QCFrFT). We obtain the sharp Hausdorff-Young inequality for QCFrFT and obtain the associated R\`en...
2309.16675v1
2023-10-04
Weakly coupled systems of eikonal equations for autonomous vehicles
In this paper, we study solutions for a weakly coupled system of eikonal equations arising in an optimal path-planning problem for autonomous vehicles. The model considered takes into account the possibility of two types of breakdown, partial and total, which happen at a known, spatially inhomogeneous rate. In particul...
2310.02966v1
2023-10-05
Negative Coupling $φ^4$ on the Lattice
Triviality of $\phi^4$ theory in four dimensions can be avoided if the bare coupling constant is negative in the UV. Theories with negative coupling can be put on the lattice if the integration domain for $\phi(x)$ is contour-deformed from the real to the complex domain. In 0+1d (quantum mechanics), one can recover res...
2310.03815v1
2023-10-20
A model for time-evolution of coupling constants
A general model is proposed for time-varying coupling constants in field theory, assuming the ultraviolet cutoff is a varying entity in the expanding universe. It is assumed that the cutoff depends on the scale factor of the universe and all bare couplings remain constant. This leads to varying renormalized coupling co...
2310.13308v2
2023-10-21
Reduction of Couplings in the Type-II 2HDM
The idea of reduction of couplings consists in the search for relations between seemingly independent couplings of a renormalizable theory that are renormalization group invariant. In this article, we demonstrate the existence of such 1-loop relations among the top Yukawa, the Higgs quartic and the gauge colour couplin...
2310.14014v1
2023-11-15
Bounds on Quartic Gauge Couplings in HEFT from Electroweak Gauge Boson Pair Production at the LHC
Precision measurements of anomalous quartic couplings of electroweak gauge bosons allow us to search for deviations of the Standard Model predictions and signals of new physics. Here, we obtain the constraints on anomalous quartic gauge couplings using the presently available data on the production of gauge-boson pairs...
2311.09300v1
2023-11-16
Coupled high-finesse optical Fabry-Perot microcavities
Optical fiber Fabry-Perot cavities have been a development facilitating the efficient integration of high-finesse cavities into fiber-optic assemblies. In this work, we demonstrate coupling of two high-finesse fiber cavities by direct photon tunneling between them. We detect the coupled mode spectra and demonstrated th...
2311.09647v1
2023-12-01
Precise tests of the axion coupling to tops
We present an in-depth analysis of axions and axion-like particles in top-pair production at the LHC. Our main goal is to probe the axion coupling to top quarks at high energies. To this end, we calculate the top-antitop cross section and differential distributions including ALP effects up to one-loop level. By compari...
2312.00872v1
2023-12-06
Controllability issues for parabolic-elliptic systems involving nonlocal couplings
This work addresses controllability properties for some systems of partial differential equations in which the main feature is the coupling through nonlocal integral terms. In the first part, we study a nonlinear parabolic-elliptic system arising in mathematical biology and, using recently developed techniques, we show...
2312.03432v1
2023-12-11
Leptogenesis with a Coupling Knob
We propose a novel leptogenesis mechanism wherein the coupling between the right-handed neutrino and Standard Model particles is temperature-dependent. In this mechanism, the coupling experiences suppression at high temperatures and becomes sizable when the washout processes are Boltzmann-suppressed. This temperature-d...
2312.06380v1
2024-01-11
Factorization of Coupling Constant in Background Field
Due to color confinement, hadrons are inseparable when studying strong interactions. The paper mainly studies the scattering in the background field, especially the scattering of quarks in the hadronic background field. We discovered that the coupling constant within the background field is made up of the distribution ...
2401.05694v2
2024-01-16
The effect of iron layer thickness on the interlayer exchange coupling in Fe/MgO (001) superlattices
We describe the effect of the Fe layer thickness on the antiferromagnetic interlayer exchange coupling in [Fe/MgO]$_N$ superlattices. An increase in coupling strength with increasing Fe layer thickness is observed, which highlights the need of including the extension of both the layers when discussing the interlayer ex...
2401.08336v1
2024-01-17
A Distributed Magnetostatic Resonator
This work reports the design, fabrication, and characterization of coupling-enhanced magnetostatic forward volume wave resonators with significant spur suppression. The fabrication is based on surface micro-machining of yttrium iron garnet (YIG) film on a gadolinium gallium garnet (GGG) substrate with thick gold transd...
2401.08911v1
2024-02-28
Direct and retrograde signal propagation in unidirectionally coupled Wilson-Cowan oscillators
Certain biological systems exhibit both direct and retrograde propagating wave signals, despite unidirectional neural coupling. However, there is no model to explain this. Therefore, the underlying physics of reversing the signal's direction for one-way coupling remains unclear. Here, we resolve this issue using a Wils...
2402.18100v2
2024-03-06
Coupled free fermion conformal field theories
We study a specific class of CFTs that involve coupled free fermions, arising from parafermion CFTs and lattice constructions. We analyse their representation spaces and the underlying exclusion statistics of coupled free fermions using specific bases. In one particular case, we reveal an unexpected connection between ...
2403.03471v1
2024-03-14
Vertex coupling interpolation in quantum chain graphs
We analyze band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating between the $\delta$ coupling and the one determined by a simple circulant matrix. We find that flat bands are generically...
2403.09457v1
2024-03-15
Long-time behavior for discretization schemes of Fokker-Planck equations via couplings
Continuous-time Markov chains associated to finite-volume discretization schemes of Fokker-Planck equations are constructed. Sufficient conditions under which quantitative exponential decay in the $\phi$-entropy and Wasserstein distance are established, implying modified logarithmic Sobolev, Poincar\'e, and discrete Be...
2403.10111v1
2006-06-17
Mode Coupling and Cavity-Quantum-Dot Interactions in a Fiber-Coupled Microdisk Cavity
A quantum master equation model for the interaction between a two-level system and whispering-gallery modes (WGMs) of a microdisk cavity is presented, with specific attention paid to current experiments involving a semiconductor quantum dot (QD) embedded in a fiber-coupled, AlGaAs microdisk cavity. In standard single m...
0606142v4
2007-06-11
Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
An optical cavity enhances the interaction between atoms and light, and the rate of coherent atom-photon coupling can be made larger than all decoherence rates of the system. For single atoms, this strong coupling regime of cavity quantum electrodynamics (cQED) has been the subject of spectacular experimental advances,...
0706.1390v2
2010-08-10
Bridging frustrated-spin-chain and spin-ladder physics: quasi-one-dimensional magnetism of BiCu2PO6
We derive and investigate the microscopic model of the quantum magnet BiCu2PO6 using band structure calculations, magnetic susceptibility and high-field magnetization measurements, as well as ED and DMRG techniques. The resulting quasi-one-dimensional spin model is a two-leg AFM ladder with frustrating next-nearest-nei...
1008.1771v2
2012-12-13
Coherent phonon manipulation in coupled mechanical resonators
Coupled mechanical oscillations were first observed in paired pendulum clocks in the mid-seventeenth century and were extensively studied for their novel sympathetic oscillation dynamics. In this era of nanotechnologies, coupled oscillations have again emerged as subjects of interest when realized in nanomechanical res...
1212.3097v1
2012-12-20
Higgs Couplings at the End of 2012
Performing a fit to all publicly available data, we analyze the extent to which the latest results from the LHC and Tevatron constrain the couplings of the Higgs boson-like state at ~ 125 GeV. To this end we assume that only Standard Model (SM) particles appear in the Higgs decays, but tree-level Higgs couplings to the...
1212.5244v3
2015-04-15
A General Analysis of Wtb anomalous Couplings
We investigate new physics effects on the Wtb effective couplings in a model-independent manner. The new physics effects are summarized as four independent couplings $f_1^L$, $f_1^R$, $f_2^L$ and $f_2^R$. Using single-top-quark productions and W-helicity fraction measurements at the LHC and Tevatron, we perform a globa...
1504.03785v2
2014-05-26
Top Yukawa coupling measurement with indefinite CP Higgs in $e^+e^-\to t\bar{t}Φ$
We consider the issue of the top quark Yukawa coupling measurement in a model in dependent and general case with the inclusion of CP-violation in the coupling. Arguably the best process to study this coupling is the associa ted production of Higgs boson along with a $t\bar t$ pair in a machine like the International Li...
1405.6465v1
2018-09-28
Engineering long spin coherence times of spin-orbit systems
Spin-orbit coupling fundamentally alters spin qubits, opening pathways to improve the scalability of quantum computers via long distance coupling mediated by electric fields, photons, or phonons. It also allows for new engineered hybrid and topological quantum systems. However, spin qubits with intrinsic spin-orbit cou...
1809.10859v2
2018-10-23
The Key Player Problem in Complex Oscillator Networks and Electric Power Grids: Resistance Centralities Identify Local Vulnerabilities
Identifying key players in a set of coupled individual systems is a fundamental problem in network theory. Its origin can be traced back to social sciences and led to ranking algorithms based on graph theoretic centralities. Coupled dynamical systems differ from social networks in that, they are characterized by degree...
1810.09694v1
2022-09-15
Spin-orbital-angular-momentum-coupled quantum gases
We briefly review the recent progress of theories and experiments on spin-orbital-angular-momentum (SOAM)-coupled quantum gases. The coupling between the intrinsic degree of freedom of particles and their external orbital motions widely exists in universe, and leads to a broad variety of fundamental phenomena both in t...
2209.07051v2
2023-02-23
Minimum-Entropy Coupling Approximation Guarantees Beyond the Majorization Barrier
Given a set of discrete probability distributions, the minimum entropy coupling is the minimum entropy joint distribution that has the input distributions as its marginals. This has immediate relevance to tasks such as entropic causal inference for causal graph discovery and bounding mutual information between variable...
2302.11838v1
2023-02-06
On the use of Lagrange Multiplier State-Space Substructuring in dynamic substructuring analysis
In this article, the formulation of Lagrange Multiplier State-Space Substructuring (LM-SSS) is presented and extended to directly compute coupled displacement and velocity state-space models. The LM-SSS method is applied to couple and decouple state-space models established in the modal domain. Moreover, it is used tog...
2303.15297v1
2023-05-03
Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling
The coupling of electrons to phonons (electron-phonon coupling) is crucial for the existence of various phases of matter, in particular superconductivity and density waves. While the consequences of nontrivial quantum geometry/topology are well-established in electronic bands, countless studies of the bulk electron-pho...
2305.02340v1
2007-02-01
Probing the Coupling between Dark Components of the Universe
We place observational constraints on a coupling between dark energy and dark matter by using 71 Type Ia supernovae (SNe Ia) from the first year of the five-year Supernova Legacy Survey (SNLS), the cosmic microwave background (CMB) shift parameter from the three-year Wilkinson Microwave Anisotropy Probe (WMAP), and the...
0702015v3
1994-08-03
Exact calculation of the ground state single-particle Green's function for the $1/r^2$ quantum many body system at integer coupling
The ground state single particle Green's function describing hole propagation is calculated exactly for the $1/r^2$ quantum many body system at integer coupling. The result is in agreement with a recent conjecture of Haldane.
9408008v1
1997-08-25
Effects of Phonons and Nuclear Spins on the Tunneling of a Domain Wall
We consider the quantum dynamics of a magnetic domain wall at low temperatures, where dissipative couplings to magnons and electrons are very small. The wall motion is then determined by its coupling to phonons and nuclear spins, and any pinning potentials. In the absence of nuclear spins there is a dominant superOhmic...
9708191v1
2002-11-03
Damping of coupled phonon--plasmon modes
The effect of free carriers on dispersion and damping of coupled phonon-plasmon modes is considered in the long-wave approximation. The electron and phonon scattering rate as well as Landau damping are taken into account.
0211040v1