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2016-05-27
Scalar field quasinormal frequencies of Reissner-Nordström black hole surrounded by quintessence by using he continued fraction method
We evaluate the quasinormal modes of massless scalar field around Reissner-Nordstr$\ddot{\text{o}}$m black hole surrounded by a static and spherically symmetric quintessence by using the continued fraction method. The appropriate Frobenius series for three special cases of the quintessence parameter $ \epsilon = -1/3, ...
1606.00703v3
2016-06-06
Weak invariants of time-dependent quantum dissipative systems
The concept of weak invariant is introduced. Then, the weak invariants associated with time-dependent quantum dissipative systems are discussed in the context of master equations of the Lindblad type. In particular, with the help of the su(1,1) Lie-algebraic structure, the weak invariant is explicitly constructed for t...
1606.01767v4
2016-06-09
Stabilization of second order nonlinear equations with variable delay
For a wide class of second order nonlinear non-autonomous models, we illustrate that combining proportional state control with the feedback that is proportional to the derivative of the chaotic signal, allows to stabilize unstable motions of the system. The delays are variable, which leads to more flexible controls per...
1606.03045v1
2016-06-09
Infrared behavior of dipolar Bose systems at low temperatures
We rigorously discuss the infrared behavior of the uniform three dimensional dipolar Bose systems. In particular, it is shown that low-temperature physics of the system is controlled by two parameters, namely isothermal compressibility and intensity of the dipole-dipole interaction. By using hydrodynamic approach we ca...
1606.03047v2
2016-06-30
Skyrmion dynamics in a chiral magnet driven by periodically varying spin currents
In this work, we investigated the spin dynamics in a slab of chiral magnets induced by an alternating (ac) spin current. Periodic trajectories of the skyrmion in real space are discovered under the ac current as a result of the Magnus and viscous forces, which originate from the Gilbert damping, the spin transfer torqu...
1606.09326v2
2016-07-07
Two-well atomic Bose-Hubbard analogues of optical cavities
We propose and analyse analogs of optical cavities for atoms using two-well Bose-Hubbard models with pumping and losses. With one well pumped, we find that both the mean-field dynamics and the quantum statistics show a quantitative dependence on the choice of damped well. Both the systems we analyse remain far from equ...
1607.01911v1
2016-07-10
Gravitational Waves in Effective Quantum Gravity
In this short paper we investigate quantum gravitational effects on Einstein's equations using effective field theory techniques. We consider the leading order quantum gravitational correction to the wave equation. Besides the usual massless mode, we find a pair of modes with complex masses. These massive particles hav...
1607.02773v1
2016-07-11
A bifurcation analysis for the Lugiato-Lefever equation
The Lugiato-Lefever equation is a cubic nonlinear Schr\"odinger equation, including damping, detuning and driving, which arises as a model in nonlinear optics. We study the existence of stationary waves which are found as solutions of a four-dimensional reversible dynamical system in which the evolutionary variable is ...
1607.02862v1
2016-08-08
An analytic technique for the solutions of nonlinear oscillators with damping using the Abel Equation
Using the Chiellini condition for integrability we derive explicit solutions for a generalized system of Riccati equations $\ddot{x}+\alpha x^{2n+1}\dot{x}+x^{4n+3}=0$ by reduction to the first-order Abel equation assuming the parameter $\alpha\ge 2\sqrt{2(n+1)}$. The technique, which was proposed by Harko \textit{et a...
1608.02324v1
2016-08-11
Phenomenological plasmon broadening and relation to the dispersion
Pragmatic ways of including lifetime broadening of collective modes in the electron liquid are critically compared. Special focus lies on the impact of the damping parameter onto the dispersion. It is quantitatively exemplified for the two-dimensional case, for both, the charge (`sheet'-)plasmon and the spin-density pl...
1608.03432v1
2016-08-16
Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materials
This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static variational-hemivariational inequality and a fixed point argument. In the second part, we ...
1608.04660v1
2016-08-27
Plasma dynamics of a laser filamentation-guided spark
We investigate experimentally the plasma dynamics of a centimeter-scale, laser filamentation-guided spark discharge. Using electrical and optical diagnostics to study monopolar discharges with varying current pulses we show that plasma decay is dominated by free electron recombination if the current decay time is short...
1608.07677v1
2016-09-01
A mathematical consideration of vortex thinning in 2D turbulence
In two dimensional turbulence, vortex thinning process is one of the attractive mechanism to explain inverse energy cascade in terms of vortex dynamics. By direct numerical simulation to the two-dimensional Navier-Stokes equations with small-scale forcing and large-scale damping, Xiao-Wan-Chen-Eyink (2009) found an evi...
1609.00107v1
2016-09-22
Primordial density and BAO reconstruction
We present a new method to reconstruct the primordial (linear) density field using the estimated nonlinear displacement field. The divergence of the displacement field gives the reconstructed density field. We solve the nonlinear displacement field in the 1D cosmology and show the reconstruction results. The new recons...
1609.07041v1
2016-09-26
Transverse Magneto-Optical Kerr Effect in Active Magneto-Plasmonic Structures
We propose a novel method to enhance the transverse magneto-optical Kerr effect (TMOKE) in the magneto-plasmonic (MP) nanostructures by means of the active dielectric layer. We report the theoretical analysis of the magnetoplasmonic structure with a ferromagnetic dielectric doped with rear-earth ions (Nd3+) as the exam...
1609.07883v1
2016-09-30
Stochastic pure state representation for open quantum systems
We show that the usual master equation formalism of Markovian open quantum systems is completely equivalent to a certain state vector formalism. The state vector of the system satisfies a given frictional Schr\"odinger equation except for random instant transitions of discrete nature. Hasse's frictional Hamiltonian is ...
1609.09636v1
2016-10-27
Direct-dynamical entanglement-discord relations
In this article, by considering Bell-diagonal two-qubit initial states submitted to local dynamics generated by the phase damping, bit flip, phase flip, bit-phase flip, and depolarizing channels, we report some elegant direct-dynamical relations between geometric measures of entanglement and discord. The complex scenar...
1610.09030v2
2016-10-31
Pseudo steady-state non-Gaussian EPR-steering of massive particles in pumped and damped Bose-Hubbard dimers
We propose and analyse a pumped Bose-Hubbard dimer as a source of continuous-variable Einstein-Podolsky-Rosen (EPR) steering with non-Gaussian statistics. We use the truncated Wigner representation to calculate third and fourth order cumulants, finding clear signals of non-Gaussianity. We also calculate the products of...
1610.09820v1
2016-11-04
Quantum correlations and entanglement in a model comprised of a short chain of nonlinear oscillators
We discuss a model comprised of a chain of three Kerr-like nonlinear oscillators pumped by two modes of external coherent field. We show that the system can be treated as nonlinear quantum scissors and behave as a three-qubit model. For such situation, different types of tripartite entangled states can be generated, ev...
1611.01334v1
2016-11-10
Unifying Suspension and Granular flows near Jamming
Rheological properties of dense flows of hard particles are singular as one approaches the jamming threshold where flow ceases, both for granular flows dominated by inertia, and for over-damped suspensions. Concomitantly, the lengthscale characterizing velocity correlations appears to diverge at jamming. Here we review...
1611.03243v1
2016-11-23
Interchange instability and transport in matter-antimatter plasmas
Symmetric electron-positron plasmas in inhomogeneous magnetic fields are intrinsically subject to interchange instability and transport. Scaling relations for the propagation velocity of density blob perturbations relevant to transport in isothermal magnetically confined electron-positron plasmas are deduced, including...
1611.07836v1
2016-12-01
Superfluidity in Bose-Hubbard circuits
A semiclassical theory is provided for the metastability regime-diagram of atomtronic superfluid circuits. Such circuits typically exhibit high-dimensional chaos; and non-linear resonances that couple the Bogoliubov excitations manifest themselves. Contrary to the expectation these resonances do not originate from the ...
1612.00251v2
2016-12-03
The formation of long-lived high-correlated states of light and polarization in high-quality semiconductor microcavity at the resonant laser excitation
The correlation function of radiation from a high-quality semiconductor microcavity at the resonant laser excitation demonstrates oscillations with surprisingly long-period and damping times of a nanosecond range. It was shown that the oscillations are not attributed to weak Rabi interaction between long-lived exciton ...
1612.00954v1
2016-12-05
Perturbative dissipation dynamics of a weakly driven Jaynes-Cummings system
We generalize a microscopic master equation method to study the dissipation dynamics of Jaynes-Cummings two-level system with a weak external driving. Using perturbative analysis to extend the damping bases theory, we derive the corrected Rabi oscillation and vaccum Rabi splitting analytically. The evolution of the dec...
1612.01248v1
2016-12-06
On renormalised solution for thermomechanical problem in perfect - plasticity
We consider the quasi-static evolution of the thermo-plasticity model in which the evolution equation law for the inelastic strain is given by the Prandtl-Reuss flow rule. The thermal part of the Cauchy stress tensor is not linearised in the neighbourhood of a references temperature. This nonlinear thermal part imposed...
1612.01886v1
2016-12-16
Relaxation mechanism driven by spin angular momentum absorption throughout antiferromagnetic phase transition in NiFe surface oxides
We report an alternative mechanism for the physical origin of the temperature-dependent ferromagnetic relaxation of Permalloy (NiFe) thin films. Through spin-pumping experiments, we demonstrate that the peak in the temperature-dependence of NiFe damping can be understood in terms of enhanced spin angular momentum absor...
1612.05556v1
2016-12-16
On the rotationally driven pevatron in the centre of the Milky Way
Based on the collective linear and nonlinear processes in a magnetized plasma surrounding the black hole at the galactic center (GC), an acceleration mechanism is proposed to explain the recent detection/discovery of PeV protons. In a two stage process, the gravitation energy is first converted to the electrical energy...
1612.05591v1
2016-12-26
Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions
We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic description is performed by locally averaging the par- ticle dynamics with the no...
1612.08404v1
2016-12-29
Anomalous temperature-dependent heat transport in one-dimensional momentum-conserving systems with soft-type interparticle interaction
We here numerically investigate the heat transport behavior in a one-dimensional lattice with a soft-type (ST) anharmonic interparticle interaction. It is found that with the increase of system's temperature, while the introduction of ST anharmonicity softens phonons and decreases their velocities, this type of nonline...
1612.09080v2
2017-01-01
Analysis of a remarkable singularity in a nonlinear DDE
In this work we investigate the dynamics of the nonlinear DDE (delay-differential equation) x''(t)+x(t-T)+x(t)^3=0 where T is the delay. For T=0 this system is conservative and exhibits no limit cycles. For T>0, no matter how small, an infinite number of limit cycles exist, their amplitudes going to infinity in the...
1701.00201v1
2017-01-12
Molecular Plasmonics: strong coupling at the low molecular density limit
We study the strong coupling between the molecular excited state and the plasmonic modes of silver hole arrays with a resonant frequency very close to the asymptotic line of the plasmonic dispersion relation, at the nonlinear regime. We demonstrate that the strong coupling regime can be achieved between the two sub-sys...
1701.03402v2
2017-01-22
Super quantum discord for general two qubit X states
The exact solutions of the super quantum discord are derived for general two qubit X states in terms of a one-variable function. Several exact solutions of the super quantum discord are given for the general X-state over nontrivial regions of a seven dimensional manifold. It is shown that the super quantum discord of t...
1701.06177v2
2017-01-26
Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity
We consider a Navier-Stokes-Voigt fluid model where the instantaneous kinematic viscosity has been completely replaced by a memory term incorporating hereditary effects, in presence of Ekman damping. The dissipative character of our model is weaker than the one where hereditary and instantaneous viscosity coexist, prev...
1701.07845v1
2017-01-28
Quantum discord protection of a two-qutrit V-type atomic system from decoherence by partially collapsing measurements
In this paper, by exploiting the weak measurement and quantum measurement re- versal (WMQMR) procedure, we propose a scheme to show how one can protect the geometric quantum discord (GQD) of a two-qutrit V-type atomic system each of which interacts with a dissipative reservoir independently. We examine the scheme for t...
1701.08278v2
2017-02-03
Global existence and decay rate of strong solution to incompressible Oldroyd type model equations
This paper investigates the global existence and the decay rate in time of a solution to the Cauchy problem for an incompressible Oldroyd model with a deformation tensor damping term. There are three major results. The first is the global existence of the solution for small initial data. Second, we derive the sharp tim...
1702.00902v2
2017-02-05
Hydrodynamic fluctuations near a critical endpoint and Hanbury Brown-Twiss interferometry
The field of high energy nuclear collisions has witnessed a surge of interest in the role played by hydrodynamic fluctuations. Hydrodynamic fluctuations may have significant effects on matter created in heavy-ion accelerators whose trajectories in the plane of temperature versus chemical potential pass near a possible ...
1702.01368v1
2017-02-20
The HTL resumed propagators in the light cone gauge
The expression of the HTL resumed gluon propagator in the light cone gauge is derived. In the real time mechanism, using the Mandelstam Leibbrant prescription of $(n\cdot K)^{-1}$, we calculate the transverse and longitudinal parts of the gluon HTL self-energy and prove the transverse and longitudinal parts do not have...
1702.05890v2
2017-02-27
Magnetization reversal by superconducting current in $\varphi_0$ Josephson junctions
We study magnetization reversal in a $\varphi_0$ Josephson junction with direct coupling between magnetic moment and Josephson current. Our simulations of magnetic moment dynamics show that by applying an electric current pulse, we can realize the full magnetization reversal. We propose different protocols of full magn...
1702.08394v4
2017-03-02
Integrable RCS as a proposed replacement for Fermilab Booster
Integrable optics is an innovation in particle accelerator design that potentially enables a greater betatron tune spread and damps collective instabilities. An integrable rapid-cycling synchrotron (RCS) would be an effective replacement for the Fermilab Booster, as part of a plan to reach multi-MW beam power at 120 Ge...
1703.00952v1
2017-03-03
Spin-orbit effective fields in Pt/GdFeCo bilayers
In the increasing interests on spin-orbit torque (SOT) with various magnetic materials, we investigated SOT in rare earth-transition metal ferrimagnetic alloys. The harmonic Hall measurements were performed in Pt/GdFeCo bilayers to quantify the effective fields resulting from the SOT. It is found that the damping-like ...
1703.00995v1
2017-03-06
Antibunching in an optomechanical oscillator
We theoretically analyze antibunching of the phonon field in an optomechanical oscillator employ- ing the membrane-in-the-middle geometry. More specifically, a single-mode mechanical oscillator is quadratically coupled to a single-mode cavity field in the regime in which the cavity dissipation is a dominant source of d...
1703.01706v1
2017-03-07
Dark matter kinetic decoupling with a light particle
We argue that the acoustic damping of the matter power spectrum is not a generic feature of the kinetic decoupling of dark matter, but even the enhancement can be realized depending on the nature of the kinetic decoupling when compared to that in the standard cold dark matter model. We consider a model that exhibits a ...
1703.02338v1
2017-03-22
A review on Asteroseismology
Over the last decade, thanks to the successful space missions launched to detect stellar pulsations, Asteroseismology has produced an extraordinary revolution in astrophysics, unveiling a wealth of results on structural properties of stars over a large part of the H-R diagram. Particularly impressive has been the devel...
1703.07604v2
2017-03-30
Behavior of the impurity atom in a weakly-interacting Bose gas
We studied the properties of a single impurity atom immersed in a dilute Bose condensate at low temperatures. In particular, we perturbatively obtained the momentum dependence of the impurity spectrum and damping. By means of the Brillouin-Wigner perturbation theory we also calculated the self-energy both for attractiv...
1703.10390v1
2017-03-31
A Fourier-Chebyshev Spectral Method for Cavitation Computation in Nonlinear Elasticity
A Fourier-Chebyshev spectral method is proposed in this paper for solving the cavitation problem in nonlinear elasticity. The interpolation error for the cavitation solution is analyzed, the elastic energy error estimate for the discrete cavitation solution is obtained, and the convergence of the method is proved. An a...
1703.10939v1
2017-07-13
Clock frequency estimation under spontaneous emission
We investigate the quantum dynamics of a driven two-level system under spontaneous emission and its application in clock frequency estimation. By using a Lindblad equation to describe the system, we analytically obtain its exact solutions, which show three different regimes: Rabi oscillation, damped oscillation and ove...
1707.03958v1
2017-07-20
Fluid structure system with boundary conditions involving the pressure
We study a coupled fluid-structure system involving boundary conditions on the pressure. The fluid is described by the incompressible Navier--Stokes equations in a 2D rectangular type domain where the upper part of the domain is described by a damped Euler--Bernoulli beam equation. Existence and uniqueness of local str...
1707.06382v2
2017-07-25
The Effect of Electron Lens as Landau Damping Device on Single Particle Dynamics in HL-LHC
An electron lens can serve as an effective mechanism for suppressing coherent instabilities in high intensity storage rings through nonlinear amplitude dependent betatron tune shift. However, the addition of a strong localized nonlinear focusing element to the accelerator lattice may lead to undesired effects in partic...
1707.08239v1
2017-08-11
Gradient expansion formalism for generic spin torques
We propose a new quantum-mechanical formalism to calculate spin torques based on the gradient expansion, which naturally involves spacetime gradients of the magnetization and electromagnetic fields. We have no assumption in the small-amplitude formalism or no difficulty in the SU($2$) gauge transformation formalism. As...
1708.03424v1
2017-08-21
Fundamental models in nonlinear acoustics part I. Analytical comparison
This work is concerned with the study of fundamental models from nonlinear acoustics. In Part~I, a hierarchy of nonlinear damped wave equations arising in the description of sound propagation in thermoviscous fluids is deduced. In particular, a rigorous justification of two classical models, the Kuznetsov and Westervel...
1708.06099v1
2017-09-07
Short Wavelength Geodesic Acoustic Mode Excitation by Energetic Particles
Taking the collisionless damping of geodesic acoustic mode (GAM) as an example, the physics processes underlying wave particle resonances in the short wavelength limit are clarified. As illus- trative application, GAM excitation by energetic particles in short wavelength limit is investigated assuming a single pitch an...
1709.02085v1
2017-09-12
Convex approximations of quantum channels
We address the problem of optimally approximating the action of a desired and unavailable quantum channel $\Phi $ having at our disposal a single use of a given set of other channels $\{\Psi_i \}$. The problem is recast to look for the least distinguishable channel from $\Phi $ among the convex set $\sum_i p_i \Psi_i$,...
1709.03805v1
2017-09-18
Explicit Backbone Curves from Spectral Submanifolds of Forced-Damped Nonlinear Mechanical Systems
Spectral submanifolds (SSMs) have recently been shown to provide exact and unique reduced-order models for nonlinear unforced mechanical vibrations. Here we extend these results to periodically or quasiperiodically forced mechanical systems, obtaining analytic expressions for forced responses and backbone curves on mod...
1709.05947v3
2017-09-25
Orbital-Free Density-Functional Theory Simulations of Displacement Cascade in Aluminum
Here, we report orbital-free density-functional theory (OF DFT) molecular dynamics simulations of the displacement cascade in aluminum. The electronic effect is our main concern. The displacement threshold energies are calculated using OF DFT and classical molecular dynamics (MD) and the comparison reveals the role of ...
1709.08288v1
2017-09-27
Damped Casimir radiation and photon correlation measurements
An effective toy model for an ideal one-dimensional nonstationary cavity is taken to be the starting point to derive a fitting markovian master equation for the corresponding leaky cavity. In the regime where the generation of photons via the dynamical Casimir effect is bounded, the master equation thus constructed all...
1709.09685v1
2017-10-06
Markovian master equation for nonlinear systems
Within the f-deformed oscillator formalism, we derive a Markovian master equation for the description of the damped dynamics of nonlinear systems that interact with their environment. The applicability of this treatment to the particular case of a Morse-like oscillator interacting with a thermal field is illustrated, a...
1710.02251v1
2017-10-07
On the De Gregorio modification of the Constantin-Lax-Majda Model
We study a modification due to De Gregorio of the Constantin-Lax-Majda (CLM) model $\omega_t = \omega H\omega$ on the unit circle. The De Gregorio equation is $\omega_t+u \omega_x-u_x\omega =0, u_x = H\omega.$ In contrast with the CLM model, numerical simulations suggest that the solutions of the De Gregorio model with...
1710.02737v1
2017-10-12
A Locking-free DP-Q2-P1 MFEM for Incompressible Nonlinear Elasticity Problems
A mixed finite element method (MFEM), using dual-parametric piecewise bi-quadratic and affine (DP-Q2-P1) finite element approximations for the deformation and the pressure like Lagrange multiplier respectively, is developed and analyzed for the numerical computation of incompressible nonlinear elasticity problems with ...
1710.04445v2
2017-10-23
An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term
We consider an abstract nonlinear second order evolution equation, inspired by some models for damped oscillations of a beam subject to external loads or magnetic fields, and shaken by a transversal force. When there is no external force, the system has three stationary positions, two stable and one unstable, and all s...
1710.08159v1
2017-10-26
The effects of retardation on the topological plasmonic chain: plasmonic edge states beyond the quasistatic limit
We study a one-dimensional plasmonic system with non-trivial topology: a chain of metallic nanoparticles with alternating spacing, which is the plasmonic analogue to the Su-Schreiffer-Heeger model. We extend previous efforts by including long range hopping with retardation and radiative damping, which leads to a non-He...
1710.09782v1
2017-10-30
Is a doubly quantized vortex dynamically unstable in uniform superfluids?
We revisit the fundamental problem of the splitting instability of a doubly quantized vortex in uniform single-component superfluids at zero temperature. We analyze the system-size dependence of the excitation frequency of a doubly quantized vortex through large-scale simulations of the Bogoliubov--de Gennes equation, ...
1710.10810v2
2017-10-30
Breathers as Metastable States for the Discrete NLS equation
We study metastable motions in weakly damped Hamiltonian systems. These are believed to inhibit the transport of energy through Hamiltonian, or nearly Hamiltonian, systems with many degrees of freedom. We investigate this question in a very simple model in which the breather solutions that are thought to be responsible...
1710.10999v2
2017-11-01
Optical two-photon nonlinear waves in two-dimensional materials
A theory of an optical two-photon breather in a graphene monolayer (or graphene-like two-dimensional material) is constructed. The system of the material equations for two-photon transitions and the wave equation for transverse magnetic polarized modes of the surface plasmon polaritons are shown to reduce to the nonlin...
1711.00343v1
2017-11-02
Polaron in the dilute critical Bose condensate
The properties of impurity immersed in the dilute $D$-dimensional Bose gas at temperatures close to the second-order phase transition point are considered. Particularly by means of the $1/N$-expansion we calculated the leading-order polaron energy and the damping rate in the limit of vanishing boson-boson interaction. ...
1711.00712v2
2017-11-09
Stationary Distributions of Second Order Stochastic Evolution Equations with Memory in Hilbert Spaces
In this paper, we consider stationarity of a class of second-order stochastic evolution equations with memory, driven by Wiener processes or Levy jump processes, in Hilbert spaces. The strategy is to formulate by reduction some first-order systems in connection with the stochastic equations under investigation. We deve...
1711.03448v1
2017-11-12
On the stabilization of a hyperbolic Stokes system under geometric control condition
In this paper, we study the stabilization problem for a hyperbolic type Stokes system posed on a bounded domain. We show that when the damping effects are restricted to a subdomain satisfying the geometrical control condition the system decays exponentially. The result is a consequence of a new quasi-mode estimate for ...
1711.04301v2
2017-11-21
Electrostatic stability of electron-positron plasmas in dipole geometry
The electrostatic stability of electron-positron plasmas is investigated in the point-dipole and Z-pinch limits of dipole geometry. The kinetic dispersion relation for sub-bounce-frequency instabilities is derived and solved. For the zero-Debye-length case, the stability diagram is found to exhibit singular behavior. H...
1711.08021v1
2017-11-22
Fluctuations through a Vibrating Bounce
We study the evolution of cosmological perturbations in a non-singular bouncing cosmology with a bounce phase which has superimposed oscillations of the scale factor. We identify length scales for which the final spectrum of fluctuations obtains imprints of the non-trivial bounce dynamics. These imprints in the spectru...
1711.08370v1
2017-11-23
Speeding up Thermalisation via Open Quantum System Variational Optimisation
Optimizing open quantum system evolution is an important step on the way to achieving quantum computing and quantum thermodynamic tasks. In this article, we approach optimisation via variational principles and derive an open quantum system variational algorithm explicitly for Lindblad evolution in Liouville space. As a...
1711.08776v1
2017-11-28
Pulsations in close binaries from the BRITE point of view
Using BRITE photometric data for several close binary systems we address the problem of damping pulsations in close binary systems due to proximity effects. Because of small number statistics, no firm conclusion is given, but we find pulsations in three relatively close binaries. The pulsations in these binaries have, ...
1711.10344v1
2017-12-12
Non-Gaussianity of multiple photon subtracted thermal states in terms of compound-Poisson photon number distribution parameters: theory and experiment
The multiphoton-subtracted thermal states are an interesting example of quantum states of light which are both classical and non-Gaussian. All the properties of such states can be described by just two parameters of compound-Poisson photon number distribution. The non-Gaussianity dependency on these parameters has been...
1712.04174v2
2017-12-15
Dynamically tunable metamaterial analogue of electromagnetically induced transparency with graphene in the terahertz regime
A novel mechanism to realize dynamically tunable electromagnetically induced transparency (EIT) analogue in the terahertz (THz) regime is proposed. By putting the electrically controllable monolayer graphene under the dark resonator, the amplitude of the EIT resonance in the metal-based metamaterial can be modulated su...
1712.05525v1
2017-12-15
Frequency decay for Navier-Stokes stationary solutions
We consider stationary Navier-Stokes equations in R 3 with a regular external force and we prove exponential frequency decay of the solutions. Moreover, if the external force is small enough, we give a pointwise exponential frequency decay for such solutions according to the K41 theory. If a damping term is added to th...
1712.05753v1
2017-12-16
Approximation of a damped Euler-Bernoulli beam model in the Loewner framework
The Loewner framework for model order reduction is applied to the class of infinite-dimension systems. The transfer function of such systems is irrational (as opposed to linear systems, whose transfer function is rational) and can be expressed as an infinite series of rational functions. The main advantage of the metho...
1712.06031v1
2017-12-18
Wave propagation through an elastically-asymmetric architected material
A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and compressive components of elastic waves. The faster component can overtake the slower on...
1712.06294v2
2017-12-19
Polaron in dilute 2D Bose gas at low temperatures
The properties of a Bose polaron immersed in a dilute two-dimensional medium at finite temperatures are discussed. Assuming that the impurity is weakly-coupled to the bath particles we have perturbatively calculated the polaron energy, effective mass, quasiparticle residue and damping rate. The parameters of impurity s...
1712.06978v1
2017-12-28
On well-posedness of Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow
We study the Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow. Inspired by our study for incompressible case \cite{Jiang-Luo-arXiv-2017} and some techniques from compressible Navier-Stokes equations, we prove the local-in-time existence of the classical solution to the system with finite...
1712.09799v1
2017-12-29
A note on the nonlinear Schrödinger equation in a general domain
We consider the Cauchy problem for nonlinear Schr\"odinger equations in a general domain $\Omega\subset\mathbb{R}^N$. Construction of solutions has been only done by classical compactness method in previous results. Here, we construct solutions by a simple alternative approach. More precisely, solutions are constructed...
1712.10239v2
2018-01-23
On degenerate circular and shear flows: the point vortex and power law circular flows
We consider the problem of asymptotic stability and linear inviscid damping for perturbations of a point vortex and similar degenerate circular flows. Here, key challenges include the lack of strict monotonicity and the necessity of working in weighted Sobolev spaces whose weights degenerate as the radius tends to zero...
1801.07371v1
2018-01-25
Arbitrary-order functionally fitted energy-diminishing methods for gradient systems
It is well known that for gradient systems in Euclidean space or on a Riemannian manifold, the energy decreases monotonically along solutions. In this letter we derive and analyse functionally fitted energy-diminishing methods to preserve this key property of gradient systems. It is proved that the novel methods are un...
1801.08484v1
2018-01-27
Decay of Benjamin - Ono solitons under the influence of dissipation
The adiabatic decay of Benjamin - Ono algebraic solitons is studied when the influence of various types of small dissipation and radiative losses due to large scale Coriolis dispersion are taken into consideration. The physically most important dissipations are studied, Rayleigh and Reynolds dissipation, Landau damping...
1801.09088v1
2018-01-28
Decay of Kadomtsev - Petviashvili lumps in dissipative media
The decay of Kadomtsev - Petviashvili lumps is considered for a few typical dissipations - Rayleigh dissipation, Reynolds dissipation, Landau damping, Chezy bottom friction, viscous dissipation in the laminar boundary layer, and radiative losses caused by large-scale dispersion. It is shown that the straight-line motio...
1801.09175v1
2018-03-03
Long time instability of the Couette flow in low Gevrey spaces
We prove the instability of the Couette flow if the disturbances is less smooth than the Gevrey space of class 2. This shows that this is the critical regularity for this problem since it was proved in [5] that stability and inviscid damping hold for disturbances which are smoother than the Gevrey space of class 2. A b...
1803.01246v1
2018-03-11
Uniform and non-uniform thermal switching of magnetic particles
The pulse-noise approach to systems of classical spins weakly interacting with the bath has been applied to study thermally-activated escape of magnetic nanoparticles over the uniform and nonuniform energy barriers at intermediate and low damping. The validity of approximating a single-domain particle by a single spin ...
1803.03988v1
2018-03-19
Dynamics of a Magnetic Needle Magnetometer: Sensitivity to Landau-Lifshitz-Gilbert Damping
An analysis of a single-domain magnetic needle in the presence of an external magnetic field ${\bf B}$ is carried out with the aim of achieving a high precision magnetometer. We determine the uncertainty $\Delta B$ of such a device due to Gilbert dissipation and the associated internal magnetic field fluctuations that ...
1803.10064v2
2018-03-31
Point-source dispersion of quasi-neutrally-buoyant inertial particles
We analyze the evolution of the distribution, both in the phase space and in the physical space, of inertial particles released by a spatially-localized (punctual) source and advected by an incompressible flow. The difference in mass density between fluid and particles is assumed as small, and represents the basic para...
1804.00186v1
2018-04-04
Dynamics of measurement induced nonlocality under decoherence
Measurement Induced Nonlocality (MIN) captures nonlocal effects of a quantum state due to local von Neumann projective measurements, is a bonafide measure of quantum correlation between constituents of a composite system. In this paper, we study the dynamical behavior of entanglement (measured by concurrence), Hilber-S...
1804.01248v1
2018-04-04
Integer partition manifolds and phonon damping in one dimension
We develop a quantum model based on the correspondence between energy distribution between harmonic oscillators and the partition of an integer number. A proper choice of the interaction Hamiltonian acting within this manifold of states allows us to examine both the quantum typicality and the non-exponential relaxation...
1804.01374v1
2018-04-16
Searching for light from a dark matter clump
The DAMPE experiment has recently reported an electron spectrum that can be explained by dark matter annihilation into charged lepton pairs in a nearby dark matter clump. The accompanying bremsstrahlung may yield a gamma-ray excess with a known spectral shape that extends over an angular scale of $O(10^\circ)$. We show...
1804.05792v2
2018-04-18
Further results on the asymptotic behavior of a 2D overhead crane with input delays: Exponential convergence
This article is concerned with the asymptotic behavior of a 2D overhead crane. Taking into account the presence of a delay in the boundary, and assuming that no displacement term appears in the system, a distributed (interior) damping feedback law is proposed in order to compensate the effect of the delay. Then, invoki...
1804.06765v1
2018-04-24
An Invariant-region-preserving (IRP) Limiter to DG Methods for Compressible Euler Equations
We introduce an explicit invariant-region-preserving limiter applied to DG methods for compressible Euler equations. The invariant region considered consists of positivity of density and pressure and a maximum principle of a specific entropy. The modified polynomial by the limiter preserves the cell average, lies entir...
1804.08814v1
2018-05-04
Resonance overlap and non-linear velocity spread in Hamiltonian beam-plasma systems
We analyze some specific features of the beam-plasma instability. In particular, non-perturbative effects in the dispersion relation are studied when the standard perturbative inverse Landau damping treatment breaks down. We also elucidate how only the global distortion of the profile rather than the clump width is tru...
1805.01821v2
2018-05-07
Implementation of Stochastic Quasi-Newton's Method in PyTorch
In this paper, we implement the Stochastic Damped LBFGS (SdLBFGS) for stochastic non-convex optimization. We make two important modifications to the original SdLBFGS algorithm. First, by initializing the Hessian at each step using an identity matrix, the algorithm converges better than original algorithm. Second, by pe...
1805.02338v1
2018-05-27
Global Well-Posedness of a 3D MHD Model in Porous Media
In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our system involves a nonlinear damping term in the momentum equations due to the "Brinkman-Forcheimer-extended-Darcy" law of flow in porous med...
1805.10661v2
2018-06-13
Canonical Models of Dielectric Response
The interaction of electromagnetic fields with a solid is characterized by several interconnected response functions: the dielectric function $\varepsilon(\omega)$, index of refraction $N(\omega)$, conductivity $\sigma(\omega)$, and optical impedance $Z(\omega)$. Here we utilize three canonical models of dielectric res...
1806.05158v1
2018-06-20
Mean Field Analysis of Personalized PageRank with Implications for Local Graph Clustering
We analyse a mean-field model of Personalized PageRank on the Erdos-Renyi random graph containing a denser planted Erdos-Renyi subgraph. We investigate the regimes where the values of Personalized PageRank concentrate around the mean-field value. We also study the optimization of the damping factor, the only parameter ...
1806.07640v1
2018-06-24
Existence of time-periodic strong solutions to a fluid-structure system
We study a nonlinear coupled fluid-structure system modelling the blood flow through arteries. The fluid is described by the incompressible Navier-Stokes equations in a 2D rectangular domain where the upper part depends on a structure satisfying a damped Euler-Bernoulli beam equation. The system is driven by time-perio...
1806.09173v1
2018-09-04
Thermal noise in complex systems
We present a method to calculate the power spectral density of Brownian noise in complex optomechanical systems using Levin's approach of virtual pressure and present first mechanical loss measurements for high-purity GaAs over a wide temperature range from 7 K to 250 K. The loss reveals three Debye loss peaks. Each pe...
1809.10720v1
2018-11-06
Chaotic Synchronization between Atomic Clocks
We predict synchronization of the chaotic dynamics of two atomic ensembles coupled to a heavily damped optical cavity mode. The atoms are dissipated collectively through this mode and pumped incoherently to achieve a macroscopic population of the cavity photons. Even though the dynamics of each ensemble are chaotic, th...
1811.02148v2
2018-11-06
Nonlinear Dynamics Semi-classical Model of Quantum Spin
A nonlinear dynamics semi-classical model is used to show that standard quantum spin analysis can be obtained. The model includes a classically driven nonlinear differential equation with dissipation and a semi-classical interpretation of the torque on a spin magnetic moment in the presence of a realistic magnetic fiel...
1811.02645v1