publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2013-08-30 | A conservative, skew-symmetric Finite Difference Scheme for the compressible Navier--Stokes Equations | We present a fully conservative, skew-symmetric finite difference scheme on
transformed grids. The skew-symmetry preserves the kinetic energy by first
principles, simultaneously avoiding a central instability mechanism and
numerical damping. In contrast to other skew-symmetric schemes no special
averaging procedures ar... | 1308.6672v1 |
2013-09-09 | Classical and quantum capacities of a fully correlated amplitude damping channel | We study information transmission over a fully correlated amplitude damping
channel acting on two qubits. We derive the single-shot classical channel
capacity and show that entanglement is needed to achieve the channel best
performance. We discuss the degradability properties of the channel and
evaluate the quantum cap... | 1309.2219v3 |
2013-09-13 | Polarization hydrodynamics in a one-dimensional polariton condensate | We study the hydrodynamics of a nonresonantly-pumped polariton condensate in
a quasi-one-dimensional quantum wire taking into account the spin degree of
freedom. We clarify the relevance of the Landau criterion for superfluidity in
this dissipative two-component system. Two Cherenkov-like critical velocities
are identi... | 1309.3494v1 |
2013-09-26 | Imperfect geometric control and overdamping for the damped wave equation | We consider the damped wave equation on a manifold with imperfect geometric
control. We show the sub-exponential energy decay estimate in
\cite{Chr-NC-erratum} is optimal in the case of one hyperbolic periodic
geodesic. We show if the equation is overdamped, then the energy decays
exponentially. Finally we show if the ... | 1309.6967v1 |
2013-10-01 | Scalar filed evolution and area spectrum for Lovelock-AdS black holes | We study the modes of evolution of massless scalar fields in the
asymptotically AdS spacetime surrounding maximally symmetric black holes of
large and intermediate size in the Lovelock model. It is observed that all
modes are purely damped at higher orders. Also, the rate of damping is seen to
be independent of order a... | 1310.0159v2 |
2013-10-16 | Perturbative quantum damping of cosmological expansion | Perturbative quantum gravity in the framework of the Schwinger-Keldysh
formalism is applied to compute lowest-order corrections to the actual
expansion of the Universe described in terms of the spatially flat
Friedman-Lematre-Robertson-Walker solution. The classical metric is
approximated by a third order polynomial pe... | 1310.4308v2 |
2013-10-27 | Loss of non-Gaussianity for damped photon-subtracted thermal states | We investigate non-Gaussianity properties for a set of classical one-mode
states obtained by subtracting photons from a thermal state. Three
distance-type degrees of non-Gaussianity used for these states are shown to
have a monotonic behaviour with respect to their mean photon number. Decaying
of their non-Gaussianity ... | 1310.7229v1 |
2013-10-27 | Landau damping effects and evolutions of energy spread in small isochronous ring | This paper presents the Landau damping effects on the microwave instability
of a coasting long bunch in an isochronous ring due to finite energy spread and
emittance. Our two-dimensional (2D) dispersion relation gives more accurate
predictions of the microwave instability growth rates of short-wavelength
perturbations ... | 1310.7253v3 |
2013-10-28 | Robustness of multiparticle entanglement: specific entanglement classes and random states | We investigate the robustness of genuine multiparticle entanglement under
decoherence. We consider different kinds of entangled three- and four-qubit
states as well as random pure states. For amplitude damping noise, we find that
the W-type states are most robust, while other states are not more robust than
generic sta... | 1310.7336v2 |
2013-11-22 | Complexity of the minimum-time damping of a physical pendulum | We study the minimum-time damping of a physical pendulum by means of a
bounded control. In the similar problem for a linear oscillator each optimal
trajectory possesses a finite number of control switchings from the maximal to
the minimal value. If one considers simultaneously all optimal trajectories
with any initial ... | 1311.5729v1 |
2013-12-16 | Local Energy Decay for the Damped Wave Equation | We prove local energy decay for the damped wave equation on R^d. The problem
which we consider is given by a long range metric perturbation of the Euclidean
Laplacian with a short range absorption index. Under a geometric control
assumption on the dissipation we obtain an almost optimal polynomial decay for
the energy ... | 1312.4483v1 |
2013-12-23 | Photonic tuning of quasi-particle decay in a superfluid | We show that the damping rate of elementary excitations of hybrid systems
close to a phase transition can undergo a remarkable resonance like enhancement
before mode softening takes place. In particular, we consider the friction of a
collective density wave in a homogeneous superfluid of weakly interacting
bosonic atom... | 1312.6719v1 |
2014-01-04 | Entanglement and quantum teleportation via decohered tripartite entangled states | The entanglement behavior of two classes of multi-qubit system, GHZ and GHZ
like states passing through a generalized amplitude damping channel is
discussed. Despite this channel causes degradation of the entangled properties
and consequently their abilities to perform quantum teleportation, one can
always improve the ... | 1401.0796v1 |
2014-02-11 | New approach for Damping in a squeezed bath and its time evolution through Complete Class of Gaussian Quasi-distributions | By virtue of the thermal entangled states representation of density operator
and using dissipative interaction picture we solve the master equation of a
driven damped harmonic oscillator in a squeezed bath. We show that the
essential part of the dynamics can be expressed by the convolution of initial
Wigner function wi... | 1402.2545v1 |
2014-02-11 | New approach for solving master equations of density operator for the Jaynes Cummings Model with Cavity Damping | By introducing thermal entangled state representation which can map master
equations of density operator in quantum statistics as state vector evolution
equations and using dissipative interaction picture we solve the master
equation of J-C model with cavity damping. In addition we derive the Wigner
function for densit... | 1402.2556v1 |
2014-02-19 | Superfluid Bloch dynamics in an incommensurate lattice | We investigate the interplay of disorder and interactions in the accelerated
transport of a Bose-Einstein condensate through an incommensurate optical
lattice. We show that interactions can effectively cancel the damping of Bloch
oscillations due to the disordered potential and we provide a simple model to
qualitativel... | 1402.4830v1 |
2014-02-21 | Weakly damped acoustic plasmon mode in transition metal dichalcogenides with Zeeman splitting | We analyze the effect of a strong Zeeman field on the spectrum of collective
excitations of monolayer transition metal dichalcogenides. The combination of
the Dresselhaus type spin orbit coupling and an external Zeeman field result in
the lifting of the valley degeneracy in the valence band of these crystals. We
show t... | 1402.5274v1 |
2014-04-18 | On the Instability and Critical Damping Conditions, $kτ= 1/e$ and $kτ= π/2$ of the equation $\dotθ = -k θ(t-τ)$ | In this note, I show that it is possible to use elementary mathematics,
instead of the machinery of Lambert function, Laplace Transform, or numerics,
to derive the instability condition, $k \tau = \pi/2$, and the critical damping
condition, $k\tau = 1/e$, for the time-delayed equation $\dot{\theta} = -k
\theta(t-\tau)$... | 1404.4763v1 |
2014-04-22 | Nonlinear-damped Duffing oscillators having finite time dynamics | A class of modified Duffing oscillator differential equations, having
nonlinear damping forces, are shown to have finite time dynamics, i.e., the
solutions oscillate with only a finite number of cycles, and, thereafter, the
motion is zero. The relevance of this feature is briefly discussed in
relationship to the mathem... | 1404.5596v1 |
2014-05-01 | On the collapse of trial solutions for a damped-driven non-linear Schrödinger equation | We consider the focusing 2D non-linear Schr\"odinger equation, perturbed by a
damping term, and driven by multiplicative noise. We show that a physically
motivated trial solution does not collapse for any admissible initial condition
although the exponent of the non-linearity is critical. Our method is based on
the con... | 1405.0151v3 |
2014-05-02 | Dynamic phase diagram of dc-pumped magnon condensates | We study the effects of nonlinear dynamics and damping by phonons on a system
of interacting electronically pumped magnons in a ferromagnet. The nonlinear
effects are crucial for constructing the dynamic phase diagram, which describes
how "swasing" and Bose-Einstein condensation emerge out of the
quasiequilibrated ther... | 1405.0522v1 |
2014-05-05 | Finite time extinction for nonlinear Schrodinger equation in 1D and 2D | We consider a nonlinear Schrodinger equation with power nonlinearity, either
on a compact manifold without boundary, or on the whole space in the presence
of harmonic confinement, in space dimension one and two. Up to introducing an
extra superlinear damping to prevent finite time blow up, we show that the
presence of ... | 1405.0995v1 |
2014-05-16 | Investigation of Power-Law Damping/Dissipative Forces | The properties of a one space-dimension, one particle dynamical system under
the influence of a purely dissipative force are investigated. Assuming this
force depends only on the velocity, it is demonstrated, in contrast to the case
of linear damping, that there exist dissipative forces for which the particle
\textquot... | 1405.4062v1 |
2014-06-02 | Nonlinear coupler operating on Werner-like states - entanglement creation, its enhancement and preservation | We discuss a model of two nonlinear Kerr-like oscillators, mutually coupled
and excited by parametric process. We show that the system's evolution,
starting from Werner-like states, remains closed within a small set of two-mode
n-photon states the system, and pure two-qubit entangled state can be
generated. For some in... | 1406.0414v1 |
2014-06-10 | A determining form for the damped driven Nonlinear Schrödinger Equation- Fourier modes case | In this paper we show that the global attractor of the 1D damped, driven,
nonlinear Schr\"odinger equation (NLS) is embedded in the long-time dynamics of
a determining form. The determining form is an ordinary differential equation
in a space of trajectories $X=C_b^1(\mathbb{R}, P_mH^2)$ where $P_m$ is the
$L^2$-projec... | 1406.2626v1 |
2014-08-20 | Initial Layer and Relaxation Limit of Non-Isentropic Compressible Euler Equations with Damping | In this paper, we study the relaxation limit of the relaxing Cauchy problem
for non-isentropic compressible Euler equations with damping in
multi-dimensions. We prove that the velocity of the relaxing equations
converges weakly to that of the relaxed equations, while other variables of the
relaxing equations converges ... | 1408.4784v1 |
2014-08-26 | Exponential decay for the damped wave equation in unbounded domains | We study the decay of the semigroup generated by the damped wave equation in
an unbounded domain. We first prove under the natural geometric control
condition the exponential decay of the semigroup. Then we prove under a weaker
condition the logarithmic decay of the solutions (assuming that the initial
data are smoothe... | 1408.6054v2 |
2014-10-03 | Relaxation of regularity for the Westervelt equation by nonlinear damping with application in acoustic-acoustic and elastic-acoustic coupling | In this paper we show local (and partially global) in time existence for the
Westervelt equation with several versions of nonlinear damping. This enables us
to prove well-posedness with spatially varying $L_\infty$-coefficients, which
includes the situation of interface coupling between linear and nonlinear
acoustics a... | 1410.0797v1 |
2014-10-13 | Vortex gyration mediated by spin waves driven by an out-of-plane oscillating magnetic field | In this letter we address the vortex core dynamics involved in gyration
excitation and damping change by out-of-plane oscillating magnetic fields. When
the vortex core is at rest under the effect of in-plane bias magnetic fields,
the spin waves excited by the perpendicular magnetic field can induce obvious
vortex gyrat... | 1410.3230v1 |
2014-10-23 | Non-equilibrium thermodynamics approach to open quantum systems | Open quantum systems are studied from the thermodynamical point of view
unifying the principle of maximum informational entropy and the hypothesis of
relaxation times hierarchy. The result of the unification is a non-Markovian
and local in time master equation that provides a direct connection of
dynamical and thermody... | 1410.6312v2 |
2014-10-27 | Linear Inviscid Damping for Monotone Shear Flows | In this article, we prove linear stability, scattering and inviscid damping
with optimal decay rates for the linearized 2D Euler equations around a large
class of strictly monotone shear flows, $(U(y),0)$, in a periodic channel under
Sobolev perturbations. Here, we consider the settings of both an infinite
periodic cha... | 1410.7341v2 |
2014-11-08 | Damping of liquid sloshing by foams: from everyday observations to liquid transport | We perform experiments on the sloshing dynamics of liquids in a rectangular
container submitted to an impulse. We show that when foam is placed on top of
the liquid the oscillations of the free interface are significantly damped. The
ability to reduce sloshing and associated splashing could find applications in
numerou... | 1411.2123v1 |
2014-11-17 | A geometric mesh smoothing algorithm related to damped oscillations | We introduce a smoothing algorithm for triangle, quadrilateral, tetrahedral
and hexahedral meshes whose centerpiece is a simple geometric triangle
transformation. The first part focuses on the mathematical properties of the
element transformation. In particular, the transformation gives rise directly
to a continuous mo... | 1411.4390v3 |
2014-12-05 | Exponential dephasing of oscillators in the Kinetic Kuramoto Model | We study the kinetic Kuramoto model for coupled oscillators with coupling
constant below the synchronization threshold. We manage to prove that, for any
analytic initial datum, if the interaction is small enough, the order parameter
of the model vanishes exponentially fast, and the solution is asymptotically
described ... | 1412.1923v1 |
2014-12-23 | Selftrapping triggered by losses in cavity QED | In a coupled cavity QED network model, we study the transition from a
localized super fluid like state to a delocalized Mott insulator like state,
triggered by losses. Without cavity losses, the transition never takes place.
Further, if one measures the quantum correlations between the polaritons via
the negativity, we... | 1412.7495v1 |
2015-01-07 | Two-photon lasing by a superconducting qubit | We study the response of a magnetic-field-driven superconducting qubit
strongly coupled to a superconducting coplanar waveguide resonator. We observed
a strong amplification/damping of a probing signal at different resonance
points corresponding to a one and two-photon emission/absorption. The sign of
the detuning betw... | 1501.01543v1 |
2015-02-02 | Enhanced oscillation lifetime of a Bose-Einstein condensate in the 3D/1D crossover | We have measured the damped motion of a trapped Bose-Einstein condensate,
oscillating with respect to a thermal cloud. The cigar-shaped trapping
potential provides enough transverse confinement that the dynamics of the
system are intermediate between three-dimensional and one-dimensional. We find
that oscillations pers... | 1502.00430v2 |
2015-02-03 | Nonequilibrium dynamics of an ultracold dipolar gas | We study the relaxation and damping dynamics of an ultracold, but not quantum
degenerate, gas consisting of dipolar particles. These simulations are
performed using a direct simulation Monte Carlo method and employing the highly
anisotropic differential cross section of dipoles in the Wigner threshold
regime. We find t... | 1502.00960v1 |
2015-02-01 | On the Stability of Cylindrical Tangential Discontinuity, Generation and Damping of Helical Waves | Stability of cylindrical interface between two ideal incompressible fluids,
including the magnetic field, surface tension and gravitational field is
studied in linear approximation. We found that helical waves arising both in
plasma comet tails and on the vertical cylindrical water jet in the air are
described by the s... | 1502.00989v1 |
2015-03-04 | On the Lewis-Riesenfeld (Dodonov-Man'ko) invariant method | We revise the Lewis-Riesenfeld invariant method for solving the quantum
time-dependent harmonic oscillator in light of the Quantum Arnold
Transformation previously introduced and its recent generalization to the
Quantum Arnold-Ermakov-Pinney Transformation. We prove that both methods are
equivalent and show the advanta... | 1503.01371v1 |
2015-03-06 | On the strongly damped wave equation with constraint | A weak formulation for the so-called "semilinear strongly damped wave
equation with constraint" is introduced and a corresponding notion of solution
is defined. The main idea in this approach consists in the use of duality
techniques in Sobolev-Bochner spaces, aimed at providing a suitable
"relaxation" of the constrain... | 1503.01911v1 |
2015-03-23 | Spin-Orbit Torques in Two-Dimensional Rashba Ferromagnets | Magnetization dynamics in single-domain ferromagnets can be triggered by
charge current if spin-orbit coupling is sufficiently strong. We apply
functional Keldysh theory to investigate Rashba spin-orbit torques in metallic
two-dimensional ferromagnets. A reactive, anti-damping-like spin-orbit torque
as well as a dissip... | 1503.06872v2 |
2015-04-18 | Global Dirichlet Heat Kernel Estimates for Symmetric Lévy Processes in Half-space | In this paper, we derive explicit sharp two-sided estimates for the Dirichlet
heat kernels of a large class of symmetric (but not necessarily rotationally
symmetric) L\'evy processes on half spaces for all $t>0$. These L\'evy
processes may or may not have Gaussian component. When L\'evy density is
comparable to a decre... | 1504.04673v2 |
2015-05-05 | The transition from the classical to the quantum regime in nonlinear Landau damping | Starting from the Wigner-Moyal equation coupled to Poisson's equation, a
simplified set of equations describing nonlinear Landau damping of Langmuir
waves is derived. This system is studied numerically, with a particular focus
on the transition from the classical to the quantum regime. In the quantum
regime several new... | 1505.01381v1 |
2015-05-08 | The amplification of weak measurements under quantum noise | The influence of outside quantum noises on the amplification of weak
measurements is investigated. Three typical quantum noises are discussed. The
maximum values of the pointer's shifts decrease sharply with the strength of
the depolarizing channel and phase damping. In order to obtain significant
amplified signals, th... | 1505.01911v1 |
2015-05-27 | Local energy decay and smoothing effect for the damped Schr{ö}dinger equation | We prove the local energy decay and the smoothing effect for the damped
Schr{\"o}dinger equation on R^d. The self-adjoint part is a Laplacian
associated to a long-range perturbation of the flat metric. The proofs are
based on uniform resolvent estimates obtained by the dissipative Mourre method.
All the results depend ... | 1505.07200v1 |
2015-05-27 | Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation | In [2] we introduced a method combining together an observability inequality
and a spectral decomposition to get a logarithmic stability estimate for the
inverse problem of determining both the potential and the damping coefficient
in a dissipative wave equation from boundary measurements. The present work
deals with a... | 1505.07248v1 |
2015-06-01 | Local decay for the damped wave equation in the energy space | We improve a previous result about the local energy decay for the damped wave
equation on R^d. The problem is governed by a Laplacian associated with a long
range perturbation of the flat metric and a short range absorption index. Our
purpose is to recover the decay O(t^{--d+$\epsilon$}) in the weighted energy
spaces. ... | 1506.00377v1 |
2015-06-03 | Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates | The opening of the pseudogap in underdoped cuprates breaks up the Fermi
surface, which may lead to a breakup of the d-wave order parameter into two
subband amplitudes and a low energy Leggett mode due to phase fluctuations
between them. This causes a large increase in the temperature range of
superconducting fluctuatio... | 1506.01258v1 |
2015-06-06 | On higher regularity for the Westervelt equation with strong nonlinear damping | We show higher interior regularity for the Westervelt equation with strong
nonlinear damping term of the $q$-Laplace type. Secondly, we investigate an
interface coupling problem for these models, which arise, e.g., in the context
of medical applications of high intensity focused ultrasound in the treatment
of kidney st... | 1506.02125v1 |
2015-06-08 | Intermode-coupling modulation in the fermion-boson model: heating effects in the BCS regime | Heating induced by an oscillating modulation of the interaction strength in
an atomic Fermion pair condensate is analyzed. The coupled fermion-boson model,
generalized by incorporating a time-dependent intermode coupling through a
magnetic Feshbach resonance, is applied. The dynamics is analytically
characterized in a ... | 1506.02612v1 |
2015-06-22 | N-body description of Debye shielding and Landau damping | This paper brings further insight into the recently published N-body
description of Debye shielding and Landau damping [Escande D F, Elskens Y and
Doveil F 2014 Plasma Phys. Control. Fusion 57 025017]. Its fundamental equation
for the electrostatic potential is derived in a simpler and more rigorous way.
Various physic... | 1506.06468v2 |
2015-07-23 | Millisecond newly born pulsars as efficient accelerators of electrons | The newly born millisecond pulsars are investigated as possible energy
sources for creating ultra-high energy electrons. The transfer of energy from
the star rotation to high energy electrons takes place through the Landau
damping of centrifugally driven (via a two stream instability) electrostatic
Langmuir waves. Gene... | 1507.06415v1 |
2015-07-28 | Stability of solutions to nonlinear wave equations with switching time-delay | In this paper we study well-posedness and asymptotic stability for a class of
nonlinear second-order evolution equations with intermittent delay damping.
More precisely, a delay feedback and an undelayed one act alternately in time.
We show that, under suitable conditions on the feedback operators, asymptotic
stability... | 1507.07787v1 |
2015-08-10 | Theory of the strongly-damped quantum harmonic oscillator | We analyse the properties of a strongly-damped quantum harmonic oscillator by
means of an exact diagonalisation of the full Hamiltonian, including both the
oscillator and the reservoir degrees of freedom to which it is coupled. Many of
the properties of the oscillator, including its steady-state properties and
entangle... | 1508.02442v1 |
2015-08-20 | Bump-on-tail instability of twisted excitations in rotating cold atomic clouds | We develop a kinetic theory for twisted density waves (phonons), carrying a
finite amount of orbital angular momentum, in large magneto optical traps,
where the collective processes due to the exchange of scattered photons are
considered. Explicit expressions for the dispersion relation and for the
kinetic (Landau) dam... | 1508.05127v1 |
2015-09-30 | Approximation of Invariant Measure for Damped Stochastic Nonlinear Schrödinger Equation via an Ergodic Numerical Scheme | In order to inherit numerically the ergodicity of the damped stochastic
nonlinear Schr\"odinger equation with additive noise, we propose a fully
discrete scheme, whose spatial direction is based on spectral Galerkin method
and temporal direction is based on a modification of the implicit Euler scheme.
We not only prove... | 1509.09148v2 |
2015-10-02 | Cavity and HOM Coupler Design for CEPC | In this paper we will show a cavity and higher order mode (HOM) coupler
designing scheme for the Circular Electron-Positron Collider (CEPC) main ring.
The cavity radio frequency (RF) design parameters are showed in this paper. The
HOM power is calculated based on the beam parameters in the Preliminary
Conceptual Design... | 1510.00467v1 |
2015-11-08 | Upper semicontinuity of pullback attractors for damped wave equations | In this paper, we study the upper semicontinuity of pullback attractors for a
strongly damped wave equation. In particular, under some proper assumptions, we
prove that, the pullback attractor $\{A_\varepsilon(t)\}_{t\in\mathbb R}$} of
Eq.(1.1) with $\varepsilon\in[0,1]$ satisfies that for any $[a,b]\subset\mathbb
R$ a... | 1511.02481v2 |
2015-11-12 | Strong trajectory and global $\mathbf{W^{1,p}}$-attractors for the damped-driven Euler system in $\mathbb R^2$ | We consider the damped and driven two-dimensional Euler equations in the
plane with weak solutions having finite energy and enstrophy. We show that
these (possibly non-unique) solutions satisfy the energy and enstrophy
equality. It is shown that this system has a strong global and a strong
trajectory attractor in the S... | 1511.03873v1 |
2015-11-14 | Infinite energy solutions for critical wave equation with fractional damping in unbounded domains | This work is devoted to infinite-energy solutions of semi-linear wave
equations in unbounded smooth domains of $\mathbb{R}^3$ with fractional damping
of the form $(-\Delta_x+1)^\frac{1}{2}\partial_t u$. The work extends
previously known results for bounded domains in finite energy case.
Furthermore, well-posedness and ... | 1511.04592v1 |
2015-11-14 | Parametric resonance induced chaos in magnetic damped driven pendulum | A damped driven pendulum with a magnetic driving force, appearing from a
solenoid, where ac current flows is considered. The solenoid acts on the
magnet, which is located at the free end of the pendulum. In this system, the
existence and interrelation of chaos and parametric resonance is theoretically
examined. Derived... | 1511.04593v2 |
2015-11-19 | Periodic damping gives polynomial energy decay | Let $u$ solve the damped Klein--Gordon equation $$ \big( \partial_t^2-\sum
\partial_{x_j}^2 +m \text{Id} +\gamma(x) \partial_t \big) u=0 $$ on
$\mathbb{R}^n$ with $m>0$ and $\gamma\geq 0$ bounded below on a $2 \pi
\mathbb{Z}^n$-invariant open set by a positive constant. We show that the
energy of the solution $u$ decay... | 1511.06144v5 |
2015-12-03 | Evidence for the role of normal-state electrons in nanoelectromechanical damping mechanisms at very low temperatures | We report on experiments performed at low temperatures on aluminum covered
silicon nanoelectromechanical resonators. The substantial difference observed
between the mechanical dissipation in the normal and superconducting states
measured within the same device unambiguously demonstrates the importance of
normal-state e... | 1512.01036v1 |
2015-12-31 | Nonlinear stochastic evolution equations of second order with damping | Convergence of a full discretization of a second order stochastic evolution
equation with nonlinear damping is shown and thus existence of a solution is
established. The discretization scheme combines an implicit time stepping
scheme with an internal approximation. Uniqueness is proved as well. | 1512.09260v2 |
2016-01-18 | Stabilizing the Long-time Behavior of the Navier-Stokes Equations and Damped Euler Systems by Fast Oscillating Forces | The paper studies the issue of stability of solutions to the Navier-Stokes
and damped Euler systems in periodic boxes. We show that under action of fast
oscillating-in- time external forces all two dimensional regular solutions
converge to a time periodic flow. Unexpectedly, effects of stabilization can be
also obtaine... | 1601.04612v1 |
2016-01-27 | Design of a large dynamic range readout unit for the PSD detector of DAMPE | A large dynamic range is required by the Plastic Scintillator Detector (PSD)
of DArk Matter Paricle Explorer (DAMPE), and a double-dynode readout has been
developed. To verify this design, a prototype detector module has been
constructed and tested with cosmic rays and heavy ion beams. The results match
with the estima... | 1601.07234v1 |
2016-02-09 | Engineering and Suppression of Decoherence in Two Qubit Systems | In this work, two experimentally feasible methods of decoherence
engineering-one based on the application of stochastic classical kicks and the
other based on temporally randomized pulse sequences are combined. A different
coupling interaction is proposed, which leads to amplitude damping as compared
to existing method... | 1602.03026v1 |
2016-02-10 | Attractors for the strongly damped wave equation with $p$-Laplacian | This paper is concerned with the initial boundary value problem for one
dimensional strongly damped wave equation involving $p$-Laplacian. For $p>2$,
we establish the existence of weak local attractors for this problem in
$W_{0}^{1,p}(0,1)\times L^{2}(0,1)$. Under restriction $2<p<4$, we prove that
the semigroup, gener... | 1602.03339v3 |
2016-02-11 | Renormalization Group Study of a Fragile Fermi liquid in $1+ε$ dimensions | We present a calculation of the low energy Greens function in $1+\epsilon$
dimensions using the method of extended poor man's scaling, developed here. We
compute the wave function renormalization $Z(\omega)$ and also the decay rate
near the Fermi energy. Despite the lack of $\omega^2$ damping characteristic of
3-dimens... | 1602.03613v2 |
2016-02-20 | Movement of time-delayed hot spots in Euclidean space | We investigate the shape of the solution of the Cauchy problem for the damped
wave equation. In particular, we study the existence, location and number of
spatial maximizers of the solution. Studying the shape of the solution of the
damped wave equation, we prepare a decomposed form of the solution into the
heat part a... | 1602.06376v1 |
2016-03-04 | Optical realization of the dissipative quantum oscillator | An optical realization of the damped quantum oscillator, based on transverse
light dynamics in an optical resonator with slowly-moving mirrors, is
theoretically suggested. The optical resonator setting provides a simple
implementation of the time-dependent Caldirola-Kanai Hamiltonian of the
dissipative quantum oscillat... | 1603.01364v1 |
2016-03-08 | Modifications of the Lifshitz-Kosevich formula in two-dimensional Dirac systems | Starting from the Luttinger-Ward functional we derive an expression for the
oscillatory part of the grand potential of a two dimensional Dirac system in a
magnetic field. We perform the computation for the clean and the disordered
system, and we study the effect of electron-electron interactions on the
oscillations. Un... | 1603.02559v1 |
2016-03-23 | Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime | In this paper, we consider the linearized Vlasov-Poisson equation around an
homogeneous Maxwellian equilibrium in a weakly collisional regime: there is a
parameter $\eps$ in front of the collision operator which will tend to $0$.
Moreover, we study two cases of collision operators, linear Boltzmann and
Fokker-Planck. W... | 1603.07219v2 |
2016-04-14 | Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation | We study the Cauchy problem for a nonlinear damped wave equation. Under
suitable assumptions for the nonlinearity and the initial data, we obtain the
global solution which satisfies weighted $L^1$ and $L^\infty$ estimates.
Furthermore, we establish the higher order asymptotic expansion of the
solution. This means that ... | 1604.04100v1 |
2016-04-18 | On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior | We analyse the one-dimensional pressureless Euler-Poisson equations with a
linear damping and non-local interaction forces. These equations are relevant
for modelling collective behavior in mathematical biology. We provide a sharp
threshold between the supercritical region with finite-time breakdown and the
subcritical... | 1604.05229v1 |
2016-04-20 | Reconstruction for multiwave imaging in attenuating media with large damping coefficient | In this article we study the reconstruction problem in TAT/PAT on an
attenuating media. Namely, we prove a reconstruction procedure of the initial
condition for the damped wave equation via Neumann series that works for
arbitrary large smooth attenuation coefficients extending the result of Homan
in [1]. We also illust... | 1604.06068v3 |
2016-04-27 | Temperature Dependence Calibration and Correction of the DAMPE BGO Electromagnetic Calorimeter | A BGO electromagnetic calorimeter (ECAL) is built for the DArk Matter
Particle Explorer (DAMPE) mission. The effect of temperature on the BGO ECAL
was investigated with a thermal vacuum experiment. The light output of a BGO
crystal depends on temperature significantly. The temperature coefficient of
each BGO crystal ba... | 1604.08060v1 |
2016-05-24 | Non-existence for fractionally damped fractional differential problems | In this paper, we are concerned with a fractional differential inequality
containing a lower order fractional derivative and a polynomial source term in
the right hand side. A non-existence of non-trivial global solutions result is
proved in an appropriate space by means of the test-function method. The range
of blow u... | 1605.07432v1 |
2016-05-31 | On the Benjamin-Bona-Mahony equation with a localized damping | We introduce several mechanisms to dissipate the energy in the
Benjamin-Bona-Mahony (BBM) equation. We consider either a distributed
(localized) feedback law, or a boundary feedback law. In each case, we prove
the global wellposedness of the system and the convergence towards a solution
of the BBM equation which is nul... | 1605.09574v1 |
2016-06-03 | Microscopic derivation of the one qubit Kraus operators for amplitude and phase damping | This article presents microscopic derivation of the Kraus operators for (the
generalized) amplitude and phase damping process. Derivation is based on the
recently developed method [Andersson et al, J. Mod.Opt. 54, 1695 (2007)] which
concerns finite dimensional systems (e.g. qubit). The form of these operators
is usuall... | 1606.01145v1 |
2016-06-08 | Energy Decay in a Wave Guide with Dissipation at Infinity | We prove local and global energy decay for the wave equation in a wave guide
with damping at infinity. More precisely, the absorption index is assumed to
converge slowly to a positive constant, and we obtain the diffusive phenomenon
typical for the contribution of low frequencies when the damping is effective
at infini... | 1606.02549v2 |
2016-06-29 | Damped Topological Magnons in the Kagomé-Lattice Ferromagnets | We demonstrate that interactions can substantially undermine the
free-particle description of magnons in ferromagnets on geometrically
frustrated lattices. The anharmonic coupling, facilitated by the
Dzyaloshinskii-Moriya interaction, and a highly-degenerate two-magnon continuum
yield a strong, non-perturbative damping... | 1606.09249v3 |
2016-07-06 | Asymptotic profiles of solutions for structural damped wave equations | In this paper, we obtain several asymptotic profiles of solutions to the
Cauchy problem for structurally damped wave equations $\partial_{t}^{2} u -
\Delta u + \nu (-\Delta)^{\sigma} \partial_{t} u=0$, where $\nu >0$ and $0<
\sigma \le1$. Our result is the approximation formula of the solution by a
constant multiple of... | 1607.01839v1 |
2016-08-01 | Landau-Khalatnikov phonon damping in strongly interacting Fermi gases | We derive the phonon damping rate due to the four-phonon Landau-Khalatnikov
process in low temperature strongly interacting Fermi gases using quantum
hydrodynamics, correcting and extending the original calculation of Landau and
Khalatnikov [ZhETF, 19 (1949) 637]. Our predictions can be tested in
state-of-the-art exper... | 1608.00402v3 |
2016-08-17 | New mechanism of acceleration of particles by stellar black holes | In this paper we study efficiency of particle acceleration in the
magnetospheres of stellar mass black holes. For this purpose we consider the
linearized set of the Euler equation, continuity equation and Poisson equation
respectively. After introducing the varying relativistic centrifugal force, we
show that the charg... | 1608.04889v1 |
2016-09-20 | H{ö}lder stability in determining the potential and the damping coefficient in a wave equation | We improve the preceding results obtained by the first and the second authors
in [3]. They concern the stability issue of the inverse problem that consists
in determining the potential and the damping coefficient in a wave equation
from an initial-to-boundary operator. We partially modify the arguments in [3]
to show t... | 1609.06102v1 |
2016-10-09 | Beam halo study on ATF damping ring | Halo distribution is a key topic for background study. This paper has
developed an analytical method to give an estimation of ATF beam halo
distribution. The equilibrium particle distribution of the beam tail in the ATF
damping ring is calculated analytically with different emittance and different
vacuum degree. The an... | 1610.02624v1 |
2016-10-11 | Damping of hard excitations in strongly coupled $\mathcal N\,{=}\,4$ plasma | The damping of high momentum excitations in strongly coupled maximally
supersymmetric Yang-Mills plasma is studied. Previous calculations of the
asymptotic behavior of the quasinormal mode spectrum are extended and
clarified. We confirm that subleading corrections to the lightlike dispersion
relation $\omega({\bf q}) =... | 1610.03491v1 |
2016-10-24 | Assessing the quantumness of a damped two-level system | We perform a detailed analysis of the nonclassical properties of a damped
two-level system. We compute and compare three different criteria of
quantumness, the $l_1$-norm of coherence, the Leggett- Garg inequality and a
quantum witness based on the no-signaling in time condition. We show that all
three quantum indicato... | 1610.07626v1 |
2016-10-26 | Restoring genuine tripartite entanglement under local amplitude damping | We investigate the possibility to restore genuine tripartite entanglement
under local amplitude damping. We show that it is possible to protect genuine
entanglement using CNOT and Hadamard gates. We analyze several ordering of such
recovery operations. We find that for recovery operations applied after
exposing qubits ... | 1610.08280v1 |
2016-10-27 | Linear Inviscid Damping for Couette Flow in Stratified Fluid | We study the inviscid damping of Couette flow with an exponentially
stratified density. The optimal decay rates of the velocity field and the
density are obtained for general perturbations with minimal regularity. For
Boussinesq approximation model, the decay rates we get are consistent with the
previous results in the... | 1610.08924v2 |
2016-11-01 | On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems | Penalty fluxes are dissipative numerical fluxes for high order discontinuous
Galerkin (DG) methods which depend on a penalization parameter. We investigate
the dependence of the spectra of high order DG discretizations on this
parameter, and show that as its value increases, the spectra of the DG
discretization splits ... | 1611.00102v2 |
2016-11-26 | Landau damping of surface plasmons in metal nanostructures | We develop a quantum-mechanical theory for Landau damping of surface plasmons
in metal nanostructures larger that the characteristic length for nonlocal
effects. We show that the electron surface scattering, which facilitates
plasmon decay in small nanostructures, can be incorporated into the metal
dielectric function ... | 1611.08670v3 |
2016-11-27 | Convergence in probability of an ergodic and conformal multi-symplectic numerical scheme for a damped stochastic NLS equation | In this paper, we investigate the convergence order in probability of a novel
ergodic numerical scheme for damped stochastic nonlinear Schr\"{o}dinger
equation with an additive noise. Theoretical analysis shows that our scheme is
of order one in probability under appropriate assumptions for the initial value
and noise.... | 1611.08778v1 |
2016-12-27 | Wiggler for CESR operation at 2 GeV | For low energy operation strategy we advocate utilization of many short
wigglers in contrast with single long wiggler. This allows begin to operate
very naturally with few strong field wigglers giving necessary damping time on
expense of energy spread. By adding more and more wigglers in the ring, as
these wigglers are... | 1612.09227v1 |
2017-01-30 | Energy Transport Property of Charged Particles with Time-Dependent Damping Force via Manifold-Based Analysis Approach | This paper deals with the energy transport properties of charged particles
with time-dependent damping force. Based on the proposed nonlinear
dimensionless mapping,the stability and dynamical evolution of the particle
system is analyzed with the help of manifold-based analysis approach.It has
been found that the partic... | 1701.08762v1 |
2017-02-22 | Integration by parts of some non-adapted vector field from Malliavin's lifting approach | In this paper we propose a lift of vector field $X$ on a Riemannian manifold
$M$ to a vector field $\tilde{X}$ on the curved Cameron-Martin space
$H\left(M\right)$ named orthogonal lift. The construction of this lift is based
on a least square spirit with respect to a metric on $H(M)$ reflecting the
damping effect of R... | 1702.06741v1 |
2017-02-23 | The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in high dimensions | This paper is concerned about the lifespan estimate to the Cauchy problem of
semilinear damped wave equations with the Fujita critical exponent in high
dimensions$(n\geq 4)$. We establish the sharp upper bound of the lifespan in
the following form \begin{equation}\nonumber\\ \begin{aligned}
T(\varepsilon)\leq \exp(C\va... | 1702.07073v2 |
2017-03-09 | Off resonance coupling between a cavity mode and an ensemble of driven spins | We study the interaction between a superconducting cavity and a spin
ensemble. The response of a cavity mode is monitored while simultaneously the
spins are driven at a frequency close to their Larmor frequency, which is tuned
to a value much higher than the cavity resonance. We experimentally find that
the effective d... | 1703.03311v1 |
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