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2022-06-09
Excitation-damping quantum channels
We study a class of quantum channels describing a quantum system, split into the direct sum of an excited and a ground sector, undergoing a one-way transfer of population from the former to the latter; this construction, which provides a generalization of the amplitude-damping qubit channel, can be regarded as a way to...
2206.04623v1
2022-06-16
Modeling, robust control synthesis and worst-case analysis for an on-orbit servicing mission with large flexible spacecraft
This paper outlines a complete methodology for modeling an on-orbit servicing mission scenario and designing a feedback control system for the attitude dynamics that is guaranteed to robustly meet pointing requirements, despite model uncertainties as well as large inertia and flexibility changes throughout the mission ...
2206.08324v1
2022-06-23
Anisotropic magnon damping by zero-temperature quantum fluctuations in ferromagnetic CrGeTe$_3$
Spin and lattice are two fundamental degrees of freedom in a solid, and their fluctuations about the equilibrium values in a magnetic ordered crystalline lattice form quasiparticles termed magnons (spin waves) and phonons (lattice waves), respectively. In most materials with strong spin-lattice coupling (SLC), the inte...
2206.11962v1
2022-06-28
Strongly damped wave equations with mass-like terms of the logarithmic-Laplacian
We consider strongly damped wave equations with logarithmic mass-like terms with a parameter $\theta \in (0; 1]$. This research is a part of a series of wave equations that was initiated by Char\~ao-Ikehata [6], Char\~ao-D'Abbicco-Ikehata considered in [5] depending on a parameter $\theta \in (1/2,1)$ and Piske- Char\~...
2206.13713v1
2022-07-07
Control of Oscillatory Temperature Field in a Building via Damping Assignment to Nonlinear Koopman Mode
This paper addresses a control problem on air-conditioning systems in buildings that is regarded as a control practice of nonlinear distributed-parameter systems. Specifically, we consider the design of a controller for suppressing an oscillatory response of in-room temperature field. The main idea in this paper is to ...
2207.03219v1
2022-07-07
New perspectives on transient stability between grid-following and grid-forming VSCs
The grid-following and grid-forming controls in voltage-source converters are considered as different operation modes and the synchronization mechanism of them are studied separately. In this article, the intrinsic relationships between gridfollowing and grid-forming controlled converters are established as follows: 1)...
2207.03273v1
2022-07-11
Rapid Stabilization of Timoshenko Beam by PDE Backstepping
In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We introduce a transformation to map the Timoshenko beam states into a (2+2) x (2+2) hyperbolic PIDE-ODE system. Then backstepping is applied to obt...
2207.04746v1
2022-07-17
Locational Aspect of Fast Frequency Reserves in Low-Inertia Systems -- Control Performance Analysis
This paper evaluates the frequency performance of an AC system when primary frequency response is provided by inverter-based resources located at remote-areas. Due to potentially larger wave propagation constants over longer lines, fast active power response from inverter based resources may have a negative impact on t...
2207.08188v1
2022-07-20
MsSpec-DFM (Dielectric function module): Towards a multiple scattering approach to plasmon description
We present here the MsSpec Dielectric Function module (MsSpec-DFM), which generates dielectric functions in an electron gas or a liquid, either isolated or embedded into an environment. In addition to standard models such as the plasmon pole and the RPA, this module also provides more involved methods incorporating loc...
2207.09924v1
2022-07-25
Extreme bursting events via pulse-shaped explosion in mixed Rayleigh-Lienard nonlinear oscillator
We study the dynamics of a parametrically and externally driven Rayleigh-Lienard hybrid model and report the emergence of extreme bursting events due to a novel pulse-shaped explosion mechanism. The system exhibits complex periodic and chaotic bursting patterns amid small oscillations as a function of excitation freque...
2207.11916v1
2022-07-26
The Global Existence of Martingale Solutions to Stochastic Compressible Navier-Stokes Equations with Density-dependent Viscosity
The global existence of martingale solutions to the compressible Navier-Stokes equations driven by stochastic external forces, with density-dependent viscosity and vacuum, is established in this paper. This work can be regarded as a stochastic version of the deterministic Navier-Stokes equations \cite{Vasseur-Yu2016} (...
2207.12835v5
2022-08-10
Phonon renormalization effects accompanying the 6 K anomaly in the Quantum Spin Liquid Candidate $κ$-(BEDT-TTF)$_{2}$Cu$_{2}$(CN)$_{3}$
The low-temperature state of the quantum spin liquid candidate $\kappa$-(BEDT-TTF)$_{2}$Cu$_{2}$(CN)$_{3}$ emerges via an anomaly at $T^{*}\sim6$ K. Although signatures of this anomaly have been revealed in various quantities, its origin has remained unclear. Here we report inelastic neutron scattering measurements on ...
2208.05096v2
2022-08-16
Particle dynamics on torsional galilean spacetimes
We study free particle motion on homogeneous kinematical spacetimes of galilean type. The three well-known cases of Galilei and (A)dS--Galilei spacetimes are included in our analysis, but our focus will be on the previously unexplored torsional galilean spacetimes. We show how in well-chosen coordinates free particle m...
2208.07611v2
2022-08-17
Linking fluctuation and dissipation in spatially extended out-of-equilibrium systems
For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a microcantilever subject to a constant heat flux. The resulting thermal profile in this sp...
2208.08356v2
2022-08-27
Quantum Langevin Equation of a spin in a magnetic field : an analysis
We derive a quantum Langevin equation for a quantum spin in the presence of a magnetic field and study its dynamics in the Markovian limit using the Ohmic bath model. We extend our analysis to the Drude bath with a finite memory. We study the time evolution of the expectation values of the magnetic moments. The spin au...
2208.12989v1
2022-09-01
\textit{Ab initio} study on spin fluctuations of itinerant kagome magnet FeSn
Kagome antiferromagnetic metal FeSn has become an attracting platform for the exploration of novel electronic states, such as topological Dirac states and the formation of flat bands by localized electrons. Apart from the electronic properties, Dirac magnons and flat magnon bands have also been proposed by applying sim...
2209.00187v1
2022-09-01
Comment on "Damping of neutrino oscillations, decoherence and the lengths of neutrino wave packets''
We point out three apparent inconsistencies in the treatment of oscillation coherence from reactor neutrino and source neutrino experiments in recent paper "Damping of neutrino oscillations, decoherence and the lengths of neutrino wave packets''. First, that the dependence of the oscillation probability upon the subseq...
2209.00561v1
2022-09-02
The thermal-orbital evolution of the Earth-Moon system with a subsurface magma ocean and fossil figure
Various theories have been proposed to explain the Moon's current inclined orbit. We test the viability of these theories by reconstructing the thermal-orbital history of the Moon. We build on past thermal-orbital models and incorporate the evolution of the lunar figure including a fossil figure component. Obliquity ti...
2209.00935v1
2022-09-05
A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun's equation
We consider the approximation of weakly T-coercive operators. The main property to ensure the convergence thereof is the regularity of the approximation (in the vocabulary of discrete approximation schemes). In a previous work the existence of discrete operators $T_n$ which converge to $T$ in a discrete norm was shown ...
2209.01878v2
2022-09-06
Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter
The idea of exploiting maximally-entangled states as a resource lies at the core of several modalities of quantum information processing, including secure quantum communication, quantum computation, and quantum sensing. However, due to imperfections during or after the entangling gates used to prepare such states, the ...
2209.02753v1
2022-09-07
Classical correlations for Generic States are Fragile under Decoherence
Quantum correlations typically decrease with increasing noise, although classical correlators (CCors) may rise for a particular class of states with noise. To analyse the behavior of classical correlation (CC) in the presence of local noise, we scrutinize the set of classical correlators, axiomatic CC measures like cla...
2209.03334v1
2022-09-10
Bulk Viscosity of Relativistic $npeμ$ Matter in Neutron-Star Mergers
We discuss the bulk viscosity of hot and dense $npe\mu$ matter arising from weak-interaction direct Urca processes. We consider two regimes of interest: (a) the neutrino-transparent regime with $T\leq T_{\rm tr}$ ($T_{\rm tr}\simeq 5\div 10$ MeV is the neutrino-trapping temperature); and (b) the neutrino-trapped regime...
2209.04717v1
2022-09-11
Approximation of Algebraic Riccati Equations with Generators of Noncompact Semigroups
In this work, we demonstrate that the Bochner integral representation of the Algebraic Riccati Equations (ARE) are well-posed without any compactness assumptions on the coefficient and semigroup operators. From this result, we then are able to determine that, under some assumptions, the solution to the Galerkin approxi...
2209.04769v5
2022-09-11
Toward a Framework for Adaptive Impedance Control of an Upper-limb Prosthesis
Adapting upper-limb impedance (i.e., stiffness, damping, inertia) is essential for humans interacting with dynamic environments for executing grasping or manipulation tasks. On the other hand, control methods designed for state-of-the-art upper-limb prostheses infer motor intent from surface electromyography (sEMG) sig...
2209.04937v2
2022-09-14
Time rescaling of a primal-dual dynamical system with asymptotically vanishing damping
In this work, we approach the minimization of a continuously differentiable convex function under linear equality constraints by a second-order dynamical system with an asymptotically vanishing damping term. The system under consideration is a time rescaled version of another system previously found in the literature. ...
2209.06438v1
2022-09-18
Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics
In this paper, we consider a structurally damped elastic equation under hinged boundary conditions. Fully-discrete numerical approximation schemes are generated for the null controllability of these parabolic-like PDEs. We mainly use finite element method (FEM) and finite difference method (FDM) approximations to show ...
2209.08486v1
2022-09-19
Calculating quasinormal modes of Schwarzschild anti-de Sitter black holes using the continued fraction method
We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few exceptions, the low overtone quasinormal modes are consistent with previously o...
2209.09324v3
2022-09-20
Study of the Global Alignment for the DAMPE Detector
The Dark Matter Particle Explorer (DAMPE) is designed as a high energy particle detector for probing cosmic-rays and $\gamma-$rays in a wide energy range. The trajectory of the incident particle is mainly measured by the Silicon-Tungsten tracKer-converter (STK) sub-detector, which heavily depends on the precise interna...
2209.09440v1
2022-09-22
Open quantum system dynamics of $X$-states: Entanglement sudden death and sudden birth
The origin of disentanglement for two specific sub-classes of $X$-states namely maximally nonlocal mixed states (MNMSs) and maximally entangled mixed states (MEMSs) is investigated analytically for a physical system consisting of two spatially separated qubits interacting with a common vacuum bath. The phenomena of ent...
2209.11190v1
2022-09-23
Kernel-based quantum regressor models learn non-Markovianity
Quantum machine learning is a growing research field that aims to perform machine learning tasks assisted by a quantum computer. Kernel-based quantum machine learning models are paradigmatic examples where the kernel involves quantum states, and the Gram matrix is calculated from the overlap between these states. With ...
2209.11655v1
2022-09-24
Reflectionless Programmable Signal Routers
We demonstrate experimentally that reflectionless scattering modes (RSMs), a generalized version of coherent perfect absorption, can be functionalized to perform reflectionless programmable signal routing. We achieve versatile programmability both in terms of operating frequencies and routing functionality with negligi...
2209.11991v1
2022-09-30
A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels
In statistical estimation theory, it has been shown previously that the Wigner-Yanase skew information is bounded by the quantum Fisher information associated with the phase parameter. Besides, the quantum Cram\'er-Rao inequality is expressed in terms of skew information. Since these two fundamental quantities are base...
2209.15593v2
2022-10-03
Voltage control of frequency, effective damping and threshold current in nano-constriction-based spin Hall nano-oscillators
Using micromagnetic simulations, we study the interplay between strongly voltage-controlled magnetic anisotropy (VCMA), $\Delta K = \pm$200 kJ/m$^3$, and gate width, $w=$ 10--400 nm, in voltage-gated W/CoFeB/MgO based nano-constriction spin Hall nano-oscillators. The VCMA modifies the local magnetic properties such tha...
2210.01042v1
2022-10-18
Evidence of fresh cosmic ray in galactic plane based on DAMPE measurement of B/C and B/O ratios
More and more experiments have identified that the energy spectra of both primary and secondary cosmic-rays exhibit a hardening above $\sim 200$ GV. Most recently, the DAMPE experiment has reported a hardening of boron-to-carbon ratio at $200$ GV. These signs call for modifications of the conventional cosmic-ray (CR) p...
2210.09591v2
2022-10-19
Global well-posedness of the partially damped 2D MHD equations via a direct normal mode method for the anisotropic linear operator
We prove the global well-posedness of the 2D incompressible non-resistive MHD equations with a velocity damping term near the non-zero constant background magnetic field. To this end, we newly design a normal mode method of effectively leveraging the anisotropy of the linear propagator that encodes both the partially d...
2210.10283v1
2022-10-19
Design and Modeling of a PVDF-TrFe Flexible Wind Energy Harvester
This study presents the simulation, experimentation, and design considerations of a Poly(vinylidene fluoride co-trifluoroethylene)/ Polyethylene Terephthalate (PVDF-TrFe / PET), laser-cut, flexible piezoelectric energy harvester. It is possible to obtain energy from the environment around autonomous sensor systems, whi...
2210.10540v1
2022-10-20
Parameter analysis in continuous data assimilation for three-dimensional Brinkman-Forchheimer-extended Darcy
In this paper, we study analytically the long-time behavior of three-dimensional Brinkman-Forchheimer-extended Darcy model, in the context that the parameters related to the damping nonlinear term are unknown. This work is inspired by the approach firstly introduced for two-dimensional Navier-Stokes equations by Carlso...
2210.11432v1
2022-10-21
Breathers in lattices with alternating strain-hardening and strain-softening interactions
This work focuses on the study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and strain-softening. The existence, stability, and bifurcation structure of such solutions, as well as the system dynamics in the presence of d...
2210.11690v1
2022-10-28
Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves
Many multiscale wave systems exhibit macroscale emergent behaviour, for example, the fluid dynamics of floods and tsunamis. Resolving a large range of spatial scales typically requires a prohibitively high computational cost. The small dissipation in wave systems poses a significant challenge to further developing mult...
2210.15823v1
2022-11-07
On Vacuum Free Boundary Problem of the Spherically Symmetric Euler Equations with Damping and Solid Core
In this paper, the global existence of smooth solution and the long-time asymptotic stability of the equilibrium to vacuum free boundary problem of the spherically symmetric Euler equations with damping and solid core have been obtained for arbitrary finite positive gas constant $A$ in the state equation $p=A \rho^\gam...
2211.03347v2
2022-11-07
A role of potential on L^{2}-estimates for some evolution equations
In this papwe we consider an effective role of the potential of the wave equations with/without damping on the L^{2}-estimate of the solution itself. In the free wave equation case it is known that the L^{2}-norm of the solution itself generally grows to infinity (as time goes to infinity) in the one and two dimensiona...
2211.03389v1
2022-11-08
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs
We consider scalar semilinear elliptic PDEs where the nonlinearity is strongly monotone, but only locally Lipschitz continuous. We formulate an adaptive iterative linearized finite element method (AILFEM) which steers the local mesh refinement as well as the iterative linearization of the arising nonlinear discrete equ...
2211.04123v2
2022-11-11
Radiation reaction effects in relativistic plasmas -- the electrostatic limit
We study the evolution of electrostatic plasma waves, using the relativistic Vlasov equation extended by the Landau-Lifshitz radiation reaction, accounting for the back-reaction due to the emission of single particle Larmor radiation. In particular, the Langmuir wave damping is calculated as a function of wavenumber, i...
2211.06240v1
2022-11-15
Limits of the phonon quasi-particle picture at the cubic-to-tetragonal phase transition in halide perovskites
The soft modes associated with continuous-order phase transitions are associated with strong anharmonicity. This leads to the overdamped limit where the phonon quasi-particle picture can breakdown. However, this limit is commonly restricted to a narrow temperature range, making it difficult to observe its signature fea...
2211.08197v2
2022-11-16
Endemic Oscillations for SARS-CoV-2 Omicron -- A SIRS model analysis
The SIRS model with constant vaccination and immunity waning rates is well known to show a transition from a disease-free to an endemic equilibrium as the basic reproduction number $r_0$ is raised above threshold. It is shown that this model maps to Hethcote's classic endemic model originally published in 1973. In this...
2211.09005v2
2022-11-18
Accelerated gradient methods with strong convergence to the minimum norm minimizer: a dynamic approach combining time scaling, averaging, and Tikhonov regularization
In a Hilbert framework, for convex differentiable optimization, we consider accelerated gradient methods obtained by combining temporal scaling and averaging techniques with Tikhonov regularization. We start from the continuous steepest descent dynamic with an additional Tikhonov regularization term whose coefficient v...
2211.10140v1
2022-12-15
DAMP: Doubly Aligned Multilingual Parser for Task-Oriented Dialogue
Modern virtual assistants use internal semantic parsing engines to convert user utterances to actionable commands. However, prior work has demonstrated that semantic parsing is a difficult multilingual transfer task with low transfer efficiency compared to other tasks. In global markets such as India and Latin America,...
2212.08054v2
2022-12-21
Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation
In this paper, we consider the 1D Euler equation with time and space dependent damping term $-a(t,x)v$. It has long been known that when $a(t,x)$ is a positive constant or $0$, the solution exists globally in time or blows up in finite time, respectively. We prove that those results are invariant with respect to time a...
2212.11072v2
2022-12-22
Bayesian Physics-Informed Neural Networks for Robust System Identification of Power Systems
This paper introduces for the first time, to the best of our knowledge, the Bayesian Physics-Informed Neural Networks for applications in power systems. Bayesian Physics-Informed Neural Networks (BPINNs) combine the advantages of Physics-Informed Neural Networks (PINNs), being robust to noise and missing data, with Bay...
2212.11911v1
2022-12-29
Scheduling of Software-Defined Microgrids for Optimal Frequency Regulation
Integrated with a high share of Inverter-Based Resources (IBRs), microgrids face increasing complexity of frequency dynamics, especially after unintentional islanding from the maingrid. These IBRs, on the other hand, provide more control flexibility to shape the frequency dynamics of microgrid and together with advance...
2212.14250v3
2023-01-01
Blow-up of a structural acoustics model
This article studies the finite time blow-up of weak solutions to a structural acoustics model consisting of a semilinear wave equation defined on a bounded domain $\Omega\subset\mathbb{R}^3$ which is strongly coupled with a Berger plate equation acting on the elastic wall, namely, a flat portion of the boundary. The s...
2301.00485v1
2023-01-03
Spin-orbit torque for field-free switching in C_{3v} crystals
Spin-orbit torques in noncentrosymmetric polycrystalline magnetic heterostructures are usually described in terms of field-like and damping-like torques. However, materials with a lower symmetry point group can exhibit torques whose behavior substantially deviates from the conventional ones. In particular, based on sym...
2301.01133v2
2023-01-06
A Deep Reinforcement Learning-Based Controller for Magnetorheological-Damped Vehicle Suspension
This paper proposes a novel approach to controller design for MR-damped vehicle suspension system. This approach is predicated on the premise that the optimal control strategy can be learned through real-world or simulated experiments utilizing a reinforcement learning algorithm with continuous states/actions. The sens...
2301.02714v2
2023-01-07
Quantization of the Bateman damping system with conformable derivative
In this work, the conformable Bateman Lagrangian for the damped harmonic oscillator system is proposed using the conformable derivative concept. In other words, the integer derivatives are replaced by conformable derivatives of order $\alpha$ with $0<\alpha\leq 1$. The corresponding conformable Euler-Lagrange equations...
2301.02769v1
2023-01-17
Taking advantage of noise in quantum reservoir computing
The biggest challenge that quantum computing and quantum machine learning are currently facing is the presence of noise in quantum devices. As a result, big efforts have been put into correcting or mitigating the induced errors. But, can these two fields benefit from noise? Surprisingly, we demonstrate that under some ...
2301.06814v3
2023-01-18
Damping versus oscillations for a gravitational Vlasov-Poisson system
We consider a family of isolated inhomogeneous steady states to the gravitational Vlasov-Poisson system with a point mass at the centre. They are parametrised by the polytropic index $k>1/2$, so that the phase space density of the steady state is $C^1$ at the vacuum boundary if and only if $k>1$. We prove the following...
2301.07662v1
2023-01-22
Magnon bundle in a strongly dissipative magnet
Hybrid quantum systems based on magnetic platforms have witnessed the birth and fast development of quantum spintronics. Until now, most of the studies rely on magnetic excitations in low-damping magnetic insulators, particularly yttrium iron garnet, while a large class of magnetic systems is ruled out in this interdis...
2301.09095v1
2023-01-24
Effect of mesonic off-shell correlations in the PNJL equation of state
We study the meson contribution to the equation of state of the 2-flavor PNJL model, including the full momentum dependence of the meson polarization loops. Within the Beth-Uhlenbeck approach, we demonstrate that the contribution from the quark-antiquark continuum excitations in the spacelike region $\omega^2 - q^2 < 0...
2301.09882v1
2023-01-28
A speed restart scheme for a dynamics with Hessian driven damping
In this paper, we analyze a speed restarting scheme for the dynamical system given by $$ \ddot{x}(t) + \dfrac{\alpha}{t}\dot{x}(t) + \nabla \phi(x(t)) + \beta \nabla^2 \phi(x(t))\dot{x}(t)=0, $$ where $\alpha$ and $\beta$ are positive parameters, and $\phi:\mathbb{R}^n \to \mathbb{R}$ is a smooth convex function. If $\...
2301.12240v1
2023-01-31
Force moment partitioning and scaling analysis of vortices shed by a 2D pitching wing in quiescent fluid
We experimentally study the dynamics and strength of vortices shed from a NACA 0012 wing undergoing sinusoidal pitching in quiescent water. We characterize the temporal evolution of the vortex trajectory and circulation over a range of pitching frequencies, amplitudes and pivot locations. By employing a physics-based f...
2301.13373v2
2023-02-13
A damped elastodynamics system under the global injectivity condition: Local wellposedness in $L^p$-spaces
The purpose of this paper is to model mathematically mechanical aspects of cardiac tissues. The latter constitute an elastic domain whose total volume remains constant. The time deformation of the heart tissue is modeled with the elastodynamics equations dealing with the displacement field as main unknown. These equati...
2302.06327v2
2023-02-16
Energy decay for wave equations with a potential and a localized damping
We consider the total energy decay together with L^2-bound of the solution itself of the Cauchy problem for wave equations with a localized damping and a short-range potential. We treat it in the one dimensional Euclidean space R. We adopt a simple multiplier method to study them. In this case, it is essential that the...
2302.08114v1
2023-02-24
An Oscillation-free Spectral Volume Method for Hyperbolic Conservation Laws
In this paper, an oscillation-free spectral volume (OFSV) method is proposed and studied for the hyperbolic conservation laws. The numerical scheme is designed by introducing a damping term in the standard spectral volume method for the purpose of controlling spurious oscillations near discontinuities. Based on the con...
2302.12412v1
2023-03-01
Event-triggered boundary damping of a linear wave equation
This article presents an analysis of the stabilization of a multidimensional partial differential wave equation under a well designed event-triggering mechanism that samples the boundary control input. The wave equation is set in a bounded domain and the control is performed through a boundary classical damping term, w...
2303.00381v1
2023-03-05
Coupling of magnetism and Dirac fermions in YbMnSb2
We report inelastic neutron scattering measurements of magnetic excitations in YbMnSb2, a low-carrier-density Dirac semimetal in which the antiferromagnetic Mn layers are interleaved with Sb layers that host Dirac fermions. We observe a considerable broadening of spin waves, which is consistent with substantial spin fe...
2303.02587v2
2023-03-08
Initial value formulation of a quantum damped harmonic oscillator
The in-in formalism and its influence functional generalization are widely used to describe the out-of-equilibrium dynamics of unitary and open quantum systems, respectively. In this paper, we build on these techniques to develop an effective theory of a quantum damped harmonic oscillator and use it to study initial st...
2303.04829v1
2023-03-17
Stochastic wave equations with constraints: well-posedness and Smoluchowski-Kramers diffusion approximation
We investigate the well-posedness of a class of stochastic second-order in time damped evolution equations in Hilbert spaces, subject to the constraint that the solution lie within the unitary sphere. Then, we focus on a specific example, the stochastic damped wave equation in a bounded domain of a $d$-dimensional Eucl...
2303.09717v2
2023-03-21
Entropically damped artificial compressibility for the discretization corrected particle strength exchange method in incompressible fluid mechanics
We present a consistent mesh-free numerical scheme for solving the incompressible Navier-Stokes equations. Our method is based on entropically damped artificial compressibility for imposing the incompressibility constraint explicitly, and the Discretization-Corrected Particle Strength Exchange (DC-PSE) method to consis...
2303.11983v2
2023-03-30
Superfluid $^3$He-B Surface States in a Confined Geometry Probed by a Microelectromechanical Oscillator
A microelectromechanical oscillator with a 0.73 $\mu$m gap structure is employed to probe the surface Andreev bound states in superfluid $^3$He-B. The surface specularity of the oscillator is increased by preplating it with 1.6 monolayers of $^4$He. In the linear regime, the temperature dependence of the damping coeffi...
2303.17073v1
2023-04-04
A damped Kačanov scheme for the numerical solution of a relaxed p(x)-Poisson equation
The focus of the present work is the (theoretical) approximation of a solution of the p(x)-Poisson equation. To devise an iterative solver with guaranteed convergence, we will consider a relaxation of the original problem in terms of a truncation of the nonlinearity from below and from above by using a pair of positive...
2304.01566v1
2023-04-05
Optomechanical coupling and damping of a carbon nanotube quantum dot
Carbon nanotubes are excellent nano-electromechanical systems, combining high resonance frequency, low mass, and large zero-point motion. At cryogenic temperatures they display high mechanical quality factors. Equally they are outstanding single electron devices with well-known quantum levels and have been proposed for...
2304.02748v3
2023-04-12
Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interaction~(DMI). In this study, we propose a generalized semi-implicit backward differentiation formula projection method, enabling the simulation...
2304.05789v1
2023-04-12
Abstract damped wave equations: The optimal decay rate
The exponential decay rate of the semigroup $S(t)=e^{t\mathbb{A}}$ generated by the abstract damped wave equation $$\ddot u + 2f(A) \dot u +A u=0 $$ is here addressed, where $A$ is a strictly positive operator. The continuous function $f$, defined on the spectrum of $A$, is subject to the constraints $$\inf f(s)>0\qqua...
2304.05816v1
2023-04-28
Primal-Dual Damping algorithms for optimization
We propose an unconstrained optimization method based on the well-known primal-dual hybrid gradient (PDHG) algorithm. We first formulate the optimality condition of the unconstrained optimization problem as a saddle point problem. We then compute the minimizer by applying generalized primal-dual hybrid gradient algorit...
2304.14574v2
2023-05-01
Global existence and optimal decay of solutions to the incompressible Oldroyd-B model with only stress tensor dissipation and without damping mechanism
We study the $d$-dimensional ($d\geq2$) incompressible Oldroyd-B model with only stress tensor diffusion and without velocity dissipation as well as the damping mechanism on the stress tensor. Firstly, based upon some new observations on the model, we develope the pure energy argument (independent of spectral analysis)...
2305.00839v3
2023-05-02
Non-Markovian quantum interconnect formed by a surface plasmon polariton waveguide
Allowing the generation of effective interactions between distant quantum emitters (QEs) via flying photons, quantum interconnect (QI) is essentially a light-matter interface and acts as a building block in quantum technologies. A surface plasmon polariton (SPP) supported by a metallic waveguide provides an ideal inter...
2305.01156v2
2023-05-17
Stationary solutions for the nonlinear Schrödinger equation
We construct stationary statistical solutions of a deterministic unforced nonlinear Schr\"odinger equation, by perturbing it by a linear damping $\gamma u$ and a stochastic force whose intensity is proportional to $\sqrt \gamma$, and then letting $\gamma\to 0^+$. We prove indeed that the family of stationary solutions ...
2305.10393v1
2023-05-22
Sketch-and-Project Meets Newton Method: Global $\mathcal O(k^{-2})$ Convergence with Low-Rank Updates
In this paper, we propose the first sketch-and-project Newton method with fast $\mathcal O(k^{-2})$ global convergence rate for self-concordant functions. Our method, SGN, can be viewed in three ways: i) as a sketch-and-project algorithm projecting updates of Newton method, ii) as a cubically regularized Newton ethod i...
2305.13082v2
2023-05-26
Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
Quantum synchronization is crucial for understanding complex dynamics and holds potential applications in quantum computing and communication. Therefore, assessing the thermodynamic resources required for finite-time synchronization in continuous-variable systems is a critical challenge. In the present work, we find th...
2305.16560v1
2023-05-31
Viscous damping in weltering motion of trapped hydrodynamic dipolar Fermi gases
We consider collective motion and damping of dipolar Fermi gases in the hydrodynamic regime. We investigate the trajectories of collective oscillations -- here dubbed ``weltering'' motions -- in cross-dimensional rethermalization experiments via Monte Carlo simulations, where we find stark differences from the dilute r...
2306.00250v1
2023-06-01
Interferometry of Efimov states in thermal gases by modulated magnetic fields
We demonstrate that an interferometer based on modulated magnetic field pulses enables precise characterization of the energies and lifetimes of Efimov trimers irrespective of the magnitude and sign of the interactions in 85Rb thermal gases. Despite thermal effects, interference fringes develop when the dark time betwe...
2306.01199v3
2023-06-06
Convergence analysis of nonconform $H(\operatorname{div})$-finite elements for the damped time-harmonic Galbrun's equation
We consider the damped time-harmonic Galbrun's equation, which is used to model stellar oscillations. We introduce a discontinuous Galerkin finite element method (DGFEM) with $H(\operatorname{div})$-elements, which is nonconform with respect to the convection operator. We report a convergence analysis, which is based o...
2306.03496v1
2023-06-06
Plasmons for the Hartree equations with Coulomb interaction
In this work, we establish the existence and decay of {\em plasmons}, the quantum of Langmuir's oscillatory waves found in plasma physics, for the linearized Hartree equations describing an interacting gas of infinitely many fermions near general translation-invariant steady states, including compactly supported Fermi ...
2306.03800v1
2023-06-10
Discrepant Approaches to Modeling Stellar Tides, and the Blurring of Pseudosynchronization
We examine the reasons for discrepancies between two alternative approaches to modeling small-amplitude tides in binary systems. The 'direct solution' (DS) approach solves the governing differential equations and boundary conditions directly, while the 'modal decomposition' (MD) approach relies on a normal-mode expansi...
2306.06429v1
2023-06-19
Spin transport and magnetic proximity effect in CoFeB/normal metal/Pt trilayers
We present a study of the damping and spin pumping properties of CoFeB/X/Pt systems with $\rm X=Al,Cr$ and $\rm Ta$. We show that the total damping of the CoFeB/Pt systems is strongly reduced when an interlayer is introduced independently of the material. Using a model that considers spin relaxation, we identify the or...
2306.11009v2
2023-06-23
Energy-optimal control of adaptive structures
Adaptive structures are equipped with sensors and actuators to actively counteract external loads such as wind. This can significantly reduce resource consumption and emissions during the life cycle compared to conventional structures. A common approach for active damping is to derive a port-Hamiltonian model and to em...
2306.13331v2
2023-06-23
Low-Lying Collective Excitations of Superconductors and Charged Superfluids
We investigate theoretically the momentum-dependent frequency and damping of low-lying collective excitations of superconductors and charged superfluids in the BCS-BEC crossover regime. The study is based on the Gaussian pair-and-density fluctuation method for the propagator of Gaussian fluctuations of the pair and den...
2306.13393v1
2023-06-27
On Nonlinear Scattering of Drift Wave by Toroidal Alfven Eigenmode in Tokamak Plasmas
Using electron drift wave (eDW) as a paradigm model, we have investigated analytically direct wave-wave interactions between a test DW and ambient toroidal Alfv\'en eigenmodes (TAE) in toroidal plasmas, and their effects on the stability of the eDW. The nonlinear effects enter via scatterings to short-wavelength electr...
2306.15238v1
2023-06-27
Ground-state cooling of a mechanical oscillator by heating
Dissipation and the accompanying fluctuations are often seen as detrimental for quantum systems, since they are associated with fast relaxation and loss of phase coherence. However, it has been proposed that a pure state can be prepared if external noise induces suitable downwards transitions, while exciting transition...
2306.15746v1
2023-07-07
Tikhonov regularized second-order plus first-order primal-dual dynamical systems with asymptotically vanishing damping for linear equality constrained convex optimization problems
In this paper, in the setting of Hilbert spaces, we consider a Tikhonov regularized second-order plus first-order primal-dual dynamical system with asymptotically vanishing damping for a linear equality constrained convex optimization problem. The convergence properties of the proposed dynamical system depend heavily u...
2307.03612v1
2023-07-14
The Effects of Viscosity on the Linear Stability of Damped Stokes Waves, Downshifting, and Rogue Wave Generation
We investigate a higher order nonlinear Schr\"odinger equation with linear damping and weak viscosity, recently proposed as a model for deep water waves exhibiting frequency downshifting. Through analysis and numerical simulations, we discuss how the viscosity affects the linear stability of the Stokes wave solution, e...
2307.07156v2
2023-07-17
Tidal excitation of the obliquity of Earth-like planets in the habitable zone of M-dwarf stars
Close-in planets undergo strong tidal interactions with the parent star that modify their spins and orbits. In the two-body problem, the final stage for tidal evolution is the synchronisation of the rotation and orbital periods, and the alignment of the planet spin axis with the normal to the orbit (zero planet obliqui...
2307.08770v1
2023-07-19
A spin-rotation mechanism of Einstein-de Haas effect based on a ferromagnetic disk
Spin-rotation coupling (SRC) is a fundamental phenomenon that connects electronic spins with the rotational motion of a medium. We elucidate the Einstein-de Haas (EdH) effect and its inverse with SRC as the microscopic mechanism using the dynamic spin-lattice equations derived by elasticity theory and Lagrangian formal...
2307.10390v1
2023-07-20
Interaction-mitigated Landau damping
Bosonic collective modes are ubiquitous in metals, but over a wide range of energy and momenta suffer from Landau damping, decaying into the continuum of particle-hole excitations. Here we point out that interactions can suppress this decay, protecting a finite fraction of the total spectral weight associated with the ...
2307.11169v2
2023-07-20
Electron-positron plasma in BBN: damped-dynamic screening
We characterize in detail the very dense $e^- e^+ \gamma$ plasma present during the Big-Bang Nucleosynthesis (BBN) and explore how it is perturbed electromagnetically by \lq\lq impurities, {\it i.e.\/}, spatially dispersed protons and light nuclei undergoing thermal motion. The internuclear electromagnetic screened pot...
2307.11264v2
2023-07-22
Damping of strong GHz waves near magnetars and the origin of fast radio bursts
We investigate how a GHz radio burst emitted near a magnetar propagates through its magnetosphere at radii $r=10^7$-$10^9$ cm. Bursts propagating near the magnetic equator behave as magnetohydrodynamic (MHD) waves if they have luminosity $L\gg 10^{40}$ erg/s. The waves develop plasma shocks in each oscillation and diss...
2307.12182v1
2023-07-25
Computational Guarantees for Doubly Entropic Wasserstein Barycenters via Damped Sinkhorn Iterations
We study the computation of doubly regularized Wasserstein barycenters, a recently introduced family of entropic barycenters governed by inner and outer regularization strengths. Previous research has demonstrated that various regularization parameter choices unify several notions of entropy-penalized barycenters while...
2307.13370v1
2023-07-30
Energy transfer and radiation in Hamiltonian nonlinear Klein-Gordon equations: general case
In this paper, we consider Klein-Gordon equations with cubic nonlinearity in three spatial dimensions, which are Hamiltonian perturbations of the linear one with potential. It is assumed that the corresponding Klein-Gordon operator $B = \sqrt{-\Delta + V(x) + m^2} $ admits an arbitrary number of possibly degenerate eig...
2307.16191v1
2023-08-01
On damping a control system with global aftereffect on quantum graphs
The paper naturally connects theory of quantum graphs, optimal control theory and theory of functional-differential equations, and gives a new look at quantum graphs as temporal networks. This means that the variable parameterizing the edges is associated with time, while each internal vertex opens several scenarios fo...
2308.00496v2
2023-08-03
Part II On strong and non uniform stability of locally damped Timoshenko beam: Mathematical corrections to the proof of Theorem 2.2 in the publication referenced as [1] in the bibliography
In part I of the rebuttal (see [2] to the article [1] entitled "Uniform stabilization for the Timoshenko beam by a locally distributed damping" published in 2003, in the journal Electronic Journal of Differential Equations, we prove that Lemma 3.6 and Theorem 3.1 are unproved due to major flaws (contradictory assumptio...
2308.01625v1