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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 |
2016-05-24 | 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 |
2016-10-09 | 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 |
2017-03-10 | Negative Landau damping in bilayer graphene | We theoretically demonstrate that a system formed by two coupled graphene
sheets enables a negative damping regime wherein graphene plasmons are pumped
by a DC current. This effect is triggered by electrons drifting through one of
the graphene sheets and leads to the spontaneous light emission (spasing) and
wave instab... | 1703.03623v1 |
2017-03-10 | Effects on the CMB from magnetic field dissipation before recombination | Magnetic fields present before decoupling are damped due to radiative
viscosity. This energy injection affects the thermal and ionization history of
the cosmic plasma. The implications for the CMB anisotropies and polarization
are investigated for different parameter choices of a non helical stochastic
magnetic field. ... | 1703.03650v1 |
2017-03-28 | (1+1) Newton-Hooke Group for the Simple and Damped Harmonic Oscillator | It is demonstrated that, in the framework of the orbit method, a simple and
damped harmonic oscillators are indistinguishable at the level of an abstract
Lie algebra. This opens a possibility for treating the dissipative systems
within the orbit method. In depth analysis of the coadjoint orbits of the
$(1+1)$ dimension... | 1703.09583v2 |
2017-04-09 | Controllability of the Strongly Damped Impulsive Semilinear Wave Equation with Memory and Delay | This article is devoted to study the interior approximated controllability of
the strongly damped semilinear wave equation with memory, impulses and delay
terms. The problem is challenging since the state equation contains memory and
impulsive terms yielding to potential unbounded control sequences steering the
system ... | 1704.02561v1 |
2017-04-12 | Damping parametric instabilities in future gravitational wave detectors by means of electrostatic actuators | It has been suggested that the next generation of interferometric
gravitational wave detectors may observe spontaneously excited parametric
oscillatory instabilities. We present a method of actively suppressing any such
instability through application of electrostatic forces to the interferometers'
test masses. Using n... | 1704.03587v1 |
2017-04-28 | Cross-damping effects in 1S-3S spectroscopy of hydrogen and deuterium | We calculate the cross-damping frequency shift of a laser-induced two-photon
transition monitored through decay fluorescence, by adapting the analogy with
Raman scattering developed by Amaro et al. [P. Amaro et al., PRA 92, 022514
(2015)]. We apply this method to estimate the frequency shift of the 1S-3S
transition in ... | 1704.09003v1 |
2017-05-15 | Damping self-forces and Asymptotic Symmetries | Energy conservation in radiating processes requires, at the classical level,
to take into account damping forces on the sources. These forces can be
represented in terms of asymptotic data and lead to charges defined as
integrals over the asymptotic boundary. For scattering processes these charges,
in case of zero radi... | 1705.05297v2 |
2017-05-17 | Exact Model Reduction for Damped-Forced Nonlinear Beams: An Infinite-Dimensional Analysis | We use invariant manifold results on Banach spaces to conclude the existence
of spectral submanifolds (SSMs) in a class of nonlinear, externally forced beam
oscillations. SSMs are the smoothest nonlinear extensions of spectral subspaces
of the linearized beam equation. Reduction of the governing PDE to SSMs
provides an... | 1705.06133v1 |
2017-06-26 | Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data | This paper is concerned with weighted energy estimates for solutions to wave
equation $\partial_t^2u-\Delta u + a(x)\partial_tu=0$ with space-dependent
damping term $a(x)=|x|^{-\alpha}$ $(\alpha\in [0,1))$ in an exterior domain
$\Omega$ having a smooth boundary. The main result asserts that the weighted
energy estimate... | 1706.08311v1 |
2017-08-09 | Global well-posedness for the 2D Boussinesq equations with a velocity damping term | In this paper, we prove global well-posedness of smooth solutions to the
two-dimensional incompressible Boussinesq equations with only a velocity
damping term when the initial data is close to an nontrivial equilibrium state
$(0,x_2)$. As a by-product, under this equilibrium state, our result gives a
positive answer to... | 1708.02695v4 |
2017-08-18 | Second sound in systems of one-dimensional fermions | We study sound in Galilean invariant systems of one-dimensional fermions. At
low temperatures, we find a broad range of frequencies in which in addition to
the waves of density there is a second sound corresponding to ballistic
propagation of heat in the system. The damping of the second sound mode is
weak, provided th... | 1708.05733v2 |
2017-08-21 | Equilibrium of a Brownian particle with coordinate dependent diffusivity and damping: Generalized Boltzmann distribution | Fick's law for coordinate dependent diffusivity is derived. Corresponding
diffusion current in the presence of coordinate dependent diffusivity is
consistent with the form as given by Kramers-Moyal expansion. We have obtained
the equilibrium solution of the corresponding Smoluchowski equation. The
equilibrium distribut... | 1708.06132v5 |
2017-08-21 | Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism | In this paper, we prove the global existence of small smooth solutions to the
three-dimensional incompressible Oldroyd-B model without damping on the stress
tensor. The main difficulty is the lack of full dissipation in stress tensor.
To overcome it, we construct some time-weighted energies based on the special
coupled... | 1708.06172v2 |
2017-10-13 | $L^2$ asymptotic profiles of solutions to linear damped wave equations | In this paper we obtain higher order asymptotic profilles of solutions to the
Cauchy problem of the linear damped wave equation in $\textbf{R}^n$
\begin{equation*} u_{tt}-\Delta u+u_t=0, \qquad u(0,x)=u_0(x), \quad
u_t(0,x)=u_1(x), \end{equation*} where $n\in\textbf{N}$ and $u_0$, $u_1\in
L^2(\textbf{R}^n)$. Establishe... | 1710.04870v1 |
2017-11-27 | Statistical mechanics of Landau damping | Landau damping is the tendency of solutions to the Vlasov equation towards
spatially homogeneous distribution functions. The distribution functions
however approach the spatially homogeneous manifold only weakly, and Boltzmann
entropy is not changed by Vlasov equation. On the other hand, density and
kinetic energy dens... | 1711.10022v1 |
2017-11-29 | Lepton-portal Dark Matter in Hidden Valley model and the DAMPE recent results | We study the recent $e^\pm$ cosmic ray excess reported by DAMPE in a Hidden
Valley Model with lepton-portal dark matter. We find the electron-portal can
account for the excess well and satisfy the DM relic density and direct
detection bounds, while electron+muon/electron+muon+tau-portal suffers from
strong constraints ... | 1711.11058v3 |
2017-11-30 | Radiative Dirac neutrino mass, DAMPE dark matter and leptogenesis | We explain the electron-positron excess reported by the DAMPE collaboration
recently in a radiative Dirac seesaw model where a dark $U(1)_X$ gauge symmetry
can (i) forbid the tree-level Yukawa couplings of three right-handed neutrinos
to the standard model lepton and Higgs doublets, (ii) predict the existence of
three ... | 1711.11333v2 |
2017-12-13 | Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system | It is well-known that the Neumann initial-boundary value problem for the
minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up
for any choice of parameters. Here, for a large class of kinetic terms
including sub-logistic sources, we show that the corresponding 2D Neumann
initial-boundary value... | 1712.04739v1 |
2017-12-16 | Convergence to Equilibrium in Wasserstein distance for damped Euler equations with interaction forces | We develop tools to construct Lyapunov functionals on the space of
probability measures in order to investigate the convergence to global
equilibrium of a damped Euler system under the influence of external and
interaction potential forces with respect to the 2-Wasserstein distance. We
also discuss the overdamped limit... | 1712.05923v2 |
2017-12-27 | Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism | The classic problem of the dynamic evolution of Langmuir electron waves in a
collisionless plasma and their Landau damping is cast as a second-order,
self-adjoint problem with a continuum spectrum of real and positive squared
frequencies. The corresponding complete basis of singular normal modes is
obtained, along with... | 1712.09682v1 |
2018-01-19 | Discontinuous energy shaping control of the Chaplygin sleigh | In this paper we present an energy shaping control law for set-point
regulation of the Chaplygin sleigh. It is well known that nonholonomic
mechanical systems cannot be asymptotically stabilised using smooth control
laws as they do no satisfy Brockett's necessary condition for smooth
stabilisation. Here, we propose a d... | 1801.06278v1 |
2018-01-19 | Robust integral action of port-Hamiltonian systems | Interconnection and damping assignment, passivity-based control (IDA-PBC) has
proven to be a successful control technique for the stabilisation of many
nonlinear systems. In this paper, we propose a method to robustify a system
which has been stabilised using IDA-PBC with respect to constant, matched
disturbances via t... | 1801.06279v1 |
2018-01-19 | A study of Landau damping with random initial inputs | For the Vlasov-Poisson equation with random uncertain initial data, we prove
that the Landau damping solution given by the deterministic counterpart
(Caglioti and Maffei, {\it J. Stat. Phys.}, 92:301-323, 1998) depends smoothly
on the random variable if the time asymptotic profile does, under the
smoothness and smallne... | 1801.06304v1 |
2018-01-31 | Smoluchowski-Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension | We show that the solutions to the damped stochastic wave equation converge
pathwise to the solution of a stochastic heat equation. This is called the
Smoluchowski-Kramers approximation. Cerrai and Freidlin have previously
demonstrated that this result holds in the cases where the system is exposed to
additive noise in ... | 1801.10538v1 |
2018-02-28 | Global-in-time Stability of 2D MHD boundary Layer in the Prandtl-Hartmann Regime | In this paper, we prove global existence of solutions with analytic
regularity to the 2D MHD boundary layer equations in the mixed Prandtl and
Hartmann regime derived by formal multi-scale expansion in \cite{GP}. The
analysis shows that the combined effect of the magnetic diffusivity and
transveral magnetic field on th... | 1802.10494v3 |
2018-02-28 | Modal approach to the controllability problem of distributed parameter systems with damping | This paper is devoted to the controllability analysis of a class of linear
control systems in a Hilbert space. It is proposed to use the minimum energy
controls of a reduced lumped parameter system for solving the infinite
dimensional steering problem approximately. Sufficient conditions of the
approximate controllabil... | 1803.00129v1 |
2018-03-14 | Study of Quantum Walk over a Square Lattice | Quantum random walk finds application in efficient quantum algorithms as well
as in quantum network theory. Here we study the mixing time of a discrete
quantum walk over a square lattice in presence percolation and decoherence. We
consider bit-flip and phase damping noise, and evaluate the instantaneous
mixing time for... | 1803.05152v1 |
2018-04-10 | Motion of a superconducting loop in an inhomogeneous magnetic field: a didactic experiment | We present an experiment conductive to an understanding of both Faraday's law
and the properties of the superconducting state. It consists in the analysis of
the motion of a superconducting loop moving under the influence of gravity in
an inhomogeneous horizontal magnetic field. Gravity, conservation of magnetic
flux, ... | 1804.03553v1 |
2018-05-08 | Optomechanical damping as the origin of sideband asymmetry | Sideband asymmetry in cavity optomechanics has been explained by particle
creation and annihilation processes, which bestow an amplitude proportional to
'n+1' and 'n' excitations to each of the respective sidebands. We discuss the
issues with this as well as other interpretations, such as quantum backaction
and noise i... | 1805.02952v4 |
2018-05-11 | On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term | We consider the 2D Boussinesq equations with a velocity damping term in a
strip $\mathbb{T}\times[-1,1]$, with impermeable walls. In this physical
scenario, where the \textit{Boussinesq approximation} is accurate when
density/temperature variations are small, our main result is the asymptotic
stability for a specific t... | 1805.05179v2 |
2018-06-30 | A linearized and conservative Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation in three dimensions | In this paper, we propose a linearized Fourier pseudo-spectral method, which
preserves the total mass and energy conservation laws, for the damped nonlinear
Schr\"{o}dinger equation in three dimensions. With the aid of the semi-norm
equivalence between the Fourier pseudo-spectral method and the finite
difference method... | 1807.00091v3 |
2018-07-11 | Global existence and blow-up for semilinear damped wave equations in three space dimensions | We consider initial value problem for semilinear damped wave equations in
three space dimensions. We show the small data global existence for the problem
without the spherically symmetric assumption and obtain the sharp lifespan of
the solutions. This paper is devoted to a proof of the Takamura's conjecture on
the life... | 1807.04327v3 |
2018-07-18 | B-field induced mixing between Langmuir waves and axions | We present an analytic study of the dispersion relation for an isotropic
magnetized plasma interacting with axions. We provide a quantitative picture of
the electromagnetic plasma oscillations in both the ultrarelativistic and
nonrelativistic regimes and considering both non-degenerate and degenerate
media, accounting ... | 1807.06828v2 |
2018-07-26 | Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms | In this report we obtain higher order asymptotic expansions of solutions to
wave equations with frictional and viscoelastic damping terms. Although the
diffusion phenomena are dominant, differences between the solutions we deal
with and those of heat equations can be seen by comparing the second order
expansions of the... | 1807.10020v1 |
2018-08-16 | Continuity of the set equilibria of non-autonomous damped wave equations with terms concentrating on the boundary | In this paper we are interested in the behavior of the solutions of
non-autonomous damped wave equations when some reaction terms are concentrated
in a neighborhood of the boundary and this neighborhood shrinks to boundary as
a parameter \varepsilon goes to zero. We prove the conti- nuity of the set
equilibria of these... | 1808.05667v1 |
2018-08-30 | Protecting temporal correlations of two-qubit states using quantum channels with memory | Quantum temporal correlations exhibited by violations of Leggett-Garg
Inequality (LGI) and Temporal Steering Inequality (TSI) are in general found to
be non-increasing under decoherence channels when probed on two-qubit pure
entangled states. We study the action of decoherence channels, such as
amplitude damping, phase... | 1808.10345v1 |
2018-09-17 | Global existence for weakly coupled systems of semi-linear structurally damped $σ$-evolution models with different power nonlinearities | In this paper, we study the Cauchy problems for weakly coupled systems of
semi-linear structurally damped $\sigma$-evolution models with different power
nonlinearities. By assuming additional $L^m$ regularity on the initial data,
with $m \in [1,2)$, we use $(L^m \cap L^2)- L^2$ and $L^2- L^2$ estimates for
solutions to... | 1809.06744v2 |
2018-10-15 | Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism | We prove the global well-posedness in the critical Besov spaces for the
incompressible Oldroyd-B model without damping mechanism on the stress tensor
in $\mathbb{R}^d$ for the small initial data. Our proof is based on the
observation that the behaviors of Green's matrix to the system of
$\big(u,(-\Delta)^{-\frac12}\mat... | 1810.06171v1 |
2018-10-18 | Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism | The present work is dedicated to the global solutions to the incompressible
Oldroyd-B model without damping on the stress tensor in $\mathbb{R}^n(n=2,3)$.
This result allows to construct global solutions for a class of highly
oscillating initial velocity. The proof uses the special structure of the
system. Moreover, ou... | 1810.08048v3 |
2018-10-30 | Global well-posedness for nonlinear wave equations with supercritical source and damping terms | We prove the global well-posedness of weak solutions for nonlinear wave
equations with supercritical source and damping terms on a three-dimensional
torus $\mathbb T^3$ of the prototype \begin{align*} &u_{tt}-\Delta
u+|u_t|^{m-1}u_t=|u|^{p-1}u, \;\; (x,t) \in \mathbb T^3 \times \mathbb R^+ ;
\notag\\ &u(0)=u_0 \in H^1(... | 1810.12476v1 |
2018-11-02 | Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability | In this paper, we consider nonlinear thermoelastic systems of Timoshenko type
in a one-dimensional bounded domain. The system has two dissipative mechanisms
being present in the equation for transverse displacement and rotation angle -
a frictional damping and a dissipation through hyperbolic heat conduction
modelled b... | 1811.01128v1 |
2018-11-14 | Quantum witness of a damped qubit with generalized measurements | We evaluate the quantum witness based on the no-signaling-in-time condition
of a damped two-level system for nonselective generalized measurements of
varying strength. We explicitly compute its dependence on the measurement
strength for a generic example. We find a vanishing derivative for weak
measurements and an infi... | 1811.06013v1 |
2018-12-11 | Blow up of solutions to semilinear non-autonomous wave equations under Robin boundary conditions | The problem of blow up of solutions to the initial boundary value problem for
non-autonomous semilinear wave equation with damping and accelerating terms
under the Robin boundary condition is studied. Sufficient conditions of blow up
in a finite time of solutions to semilinear damped wave equations with
arbitrary large... | 1812.04595v1 |
2018-12-23 | Global existence of weak solutions for strongly damped wave equations with nonlinear boundary conditions and balanced potentials | We demonstrate the global existence of weak solutions to a class of
semilinear strongly damped wave equations possessing nonlinear hyperbolic
dynamic boundary conditions. Our work assumes $(-\Delta_W)^\theta \partial_tu$
with $\theta\in[\frac{1}{2},1)$ and where $\Delta_W$ is the Wentzell-Laplacian.
Hence, the associat... | 1812.09781v1 |
2018-12-24 | Cold Damping of an Optically Levitated Nanoparticle to micro-Kelvin Temperatures | We implement a cold damping scheme to cool one mode of the center-of-mass
motion of an optically levitated nanoparticle in ultrahigh vacuum from room
temperature to a record-low temperature of 100 micro-Kelvin. The measured
temperature dependence on feedback gain and thermal decoherence rate is in
excellent agreement w... | 1812.09875v1 |
2019-01-18 | Decay of semilinear damped wave equations:cases without geometric control condition | We consider the semilinear damped wave equation $\partial_{tt}^2
u(x,t)+\gamma(x)\partial_t u(x,t)=\Delta u(x,t)-\alpha u(x,t)-f(x,u(x,t))$. In
this article, we obtain the first results concerning the stabilization of this
semilinear equation in cases where $\gamma$ does not satisfy the geometric
control condition. Whe... | 1901.06169v1 |
2019-02-04 | Non-Markovian Effects on Overdamped Systems | We study the consequences of adopting the memory dependent, non-Markovian,
physics with the memory-less over-damped approximation usually employed to
investigate Brownian particles. Due to the finite correlation time scale
associated with the noise, the stationary behavior of the system is not
described by the Boltzman... | 1902.01356v1 |
2019-02-06 | Stability analysis of a 1D wave equation with a nonmonotone distributed damping | This paper is concerned with the asymptotic stability analysis of a one
dimensional wave equation subject to a nonmonotone distributed damping. A
well-posedness result is provided together with a precise characterization of
the asymptotic behavior of the trajectories of the system under consideration.
The well-posednes... | 1902.02050v1 |
2019-02-13 | Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)] | A recent paper [J. Math. Phys. {\bf 59}, 082105 (2018)] constructs a
Hamiltonian for the (dissipative) damped harmonic oscillator. We point out that
non-Hermiticity of this Hamiltonian has been ignored to find real discrete
eigenvalues which are actually non-real. We emphasize that non-Hermiticity in
Hamiltonian is cru... | 1902.04895v1 |
2019-02-15 | Memory effects teleportation of quantum Fisher information under decoherence | We have investigated how memory effects on the teleportation of quantum
Fisher information(QFI) for a single qubit system using a class of X-states as
resources influenced by decoherence channels with memory, including amplitude
damping, phase-damping and depolarizing channels. Resort to the definition of
QFI, we first... | 1902.05668v1 |
2019-02-23 | Uniform decay rates for a suspension bridge with locally distributed nonlinear damping | We study a nonlocal evolution equation modeling the deformation of a bridge,
either a footbridge or a suspension bridge. Contrarily to the previous
literature we prove the asymptotic stability of the considered model with a
minimum amount of damping which represents less cost of material. The result is
also numerically... | 1902.09963v1 |
2019-03-01 | Spectra of the Dissipative Spin Chain | This paper generalizes the (0+1)-dimensional spin-boson problem to the
corresponding (1+1)-dimensional version. Monte Carlo simulation is used to find
the phase diagram and imaginary time correlation function. The real frequency
spectrum is recovered by the newly developed P\'ade regression analytic
continuation method... | 1903.00567v1 |
2019-03-17 | Sensing Kondo correlations in a suspended carbon nanotube mechanical resonator with spin-orbit coupling | We study electron mechanical coupling in a suspended carbon nanotube (CNT)
quantum dot device. Electron spin couples to the flexural vibration mode due to
spin-orbit coupling in the electron tunneling processes. In the weak coupling
limit, i.e. electron-vibration coupling is much smaller than the electron
energy scale,... | 1903.07049v1 |
2019-03-27 | Lifespan of semilinear generalized Tricomi equation with Strauss type exponent | In this paper, we consider the blow-up problem of semilinear generalized
Tricomi equation. Two blow-up results with lifespan upper bound are obtained
under subcritical and critical Strauss type exponent. In the subcritical case,
the proof is based on the test function method and the iteration argument. In
the critical ... | 1903.11351v2 |
2019-04-01 | A remark on semi-linear damped $σ$-evolution equations with a modulus of continuity term in nonlinearity | In this article, we indicate that under suitable assumptions of a modulus of
continuity we obtain either the global (in time) existence of small data
Sobolev solutions or the blow-up result of local (in time) Sobolev solutions to
semi-linear damped $\sigma$-evolution equations with a modulus of continuity
term in nonli... | 1904.00698v3 |
2019-04-05 | Critical regularity of nonlinearities in semilinear classical damped wave equations | In this paper we consider the Cauchy problem for the semilinear damped wave
equation
$u_{tt}-\Delta u + u_t = h(u);\qquad u(0;x) = f(x); \quad u_t(0;x) = g(x);$
where $h(s) = |s|^{1+2/n}\mu(|s|)$. Here n is the space dimension and $\mu$
is a modulus of continuity. Our goal is to obtain sharp conditions on $\mu$ to
... | 1904.02939v1 |
2019-04-29 | Origin of the DAMPE 1.4 TeV peak | Recent accurate measurements of cosmic ray electron flux by the Dark Matter
Particle Explorer (DAMPE) reveal a sharp peak structure near 1.4 TeV, which is
difficult to explain by standard astrophysical processes. In this letter, we
propose a simple model that the enhanced dark matter annihilation via the
$e^+e^-$ chann... | 1904.12418v1 |
2019-05-07 | Decay estimate for the solution of the evolutionary damped $p$-Laplace equation | In this note, we study the asymptotic behavior, as $t$ tends to infinity, of
the solution $u$ to the evolutionary damped $p$-Laplace equation
\begin{equation*}
u_{tt}+a\, u_t =\Delta_p u \end{equation*}
with Dirichlet boundary values. Let $u^*$ denote the stationary solution with
same boundary values, then the $W^{... | 1905.03597v2 |
2019-05-10 | Asymptotic profiles for damped plate equations with rotational inertia terms | We consider the Cauchy problem for plate equations with rotational inertia
and frictional damping terms. We will derive asymptotic profiles of the
solution in L^2-sense as time goes to infinity in the case when the initial
data have high and low regularity, respectively. Especially, in the low
regularity case of the in... | 1905.04012v1 |
2019-05-20 | Small perturbations for a Duffing-like evolution equation involving non-commuting operators | We consider an abstract evolution equation with linear damping, a nonlinear
term of Duffing type, and a small forcing term. The abstract problem is
inspired by some models for damped oscillations of a beam subject to external
loads or magnetic fields, and shaken by a transversal force.
The main feature is that very n... | 1905.07942v1 |
2019-05-30 | A study of coherence based measure of quantumness in (non) Markovian channels | We make a detailed analysis of quantumness for various quantum noise
channels, both Markovian and non-Markovian. The noise channels considered
include dephasing channels like random telegraph noise, non-Markovian dephasing
and phase damping, as well as the non-dephasing channels such as generalized
amplitude damping an... | 1905.12872v1 |
2019-05-30 | Stabilization for vibrating plate with singular structural damping | We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli
plate equation, with a locally distributed singular structural (or viscoelastic
) damping in a boundary domain. Using a frequency domain method combined, based
on the Burq's result, combined with an estimate of Carleman type we provide
precise ... | 1905.13089v1 |
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