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We consider a purely harmonic chain of oscillators which is perturbed by a stochastic noise. Under this perturbation, the system exhibits two conserved quantities: the volume and the energy. At the level of the hydrodynamic limit, under…

概率论 · 数学 2025-05-16 Patrícia Gonçalves , Kohei Hayashi , João Pedro Mangi

In this tutorial, three examples of stochastic systems are considered: A strongly-damped oscillator, a weakly-damped oscillator and an undamped oscillator (integrator) driven by noise. The evolution of these systems is characterized by the…

统计力学 · 物理学 2022-02-02 C. J. McKinstrie , T. J. Stirling , A. S. Helmy

We prove that the decay of the eigenfunctions of harmonic oscillators, uniform electric or magnetic fields is not stable under 0-order complex perturbations, even if bounded, of these Hamiltonians, in the sense that we can produce solutions…

偏微分方程分析 · 数学 2017-05-30 Biagio Cassano , Luca Fanelli

Homodyne measurement is a crucial tool widely used to address continuous variables for bosonic quantum systems. While an ideal homodyne detection provides a powerful analysis, e.g. to effectively measure quadrature amplitudes of light in…

量子物理 · 物理学 2024-01-03 Jaehak Lee , Jiyong Park , Jaewan Kim , M. S. Kim , Hyunchul Nha

We use nonequilibrium molecular dynamics to analyze and illustrate the qualitative differences between the one-thermostat and two-thermostat versions of equilibrium and nonequilibrium (heat-conducting) harmonic oscillators. Conservative…

统计力学 · 物理学 2015-06-18 Julien Clinton Sprott , William Graham Hoover , Carol Griswold Hoover

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

量子气体 · 物理学 2016-07-13 Kean Loon Lee , Nils B. Jørgensen , I-Kang Liu , Lars Wacker , Jan J. Arlt , Nick P. Proukakis

The dynamics of a linear system embedded in a heat bath environment and subject to non- Gaussian noise is studied. Higher order cumulants in coordinate space are derived and their impact on the dynamics and on asymptotic steady state…

介观与纳米尺度物理 · 物理学 2013-04-18 Maximilian Köpke , Joachim Ankerhold

Quantum discord, a measure of quantum correlation beyond entanglement, is initially defined as the discord between two classically equivalent while quantum discordant definitions of mutual information. In this paper, we report some new…

量子物理 · 物理学 2013-03-05 X. -J. Ren , H. Fan

In this paper, we investigate the quantum entanglement induced by phase-space noncommutativity. Both the position-position and momentum-momentum noncommutativity are incorporated to study the entanglement properties of coordinate and…

量子物理 · 物理学 2024-01-09 Shilpa Nandi , Muklesur Rahaman , Pinaki Patra

We analyze the dynamics of various kinds of correlations present between two initially entangled independent qubits, each one subject to a local phase noisy laser. We give explicit expressions of the relevant quantifiers of correlations for…

This paper is devoted to the study of the asymptotic dynamics of a class of coupled second order oscillators driven by white noises. It is shown that any system of such coupled oscillators with positive damping and coupling coefficients…

动力系统 · 数学 2013-11-08 Wenxian Shen , Zhongwei Shen , Shengfan Zhou

We present a thorough investigation of the phenomena of frozen and time-invariant quantum discord for two-qubit systems independently interacting with local reservoirs. Our work takes into account several significant effects present in…

量子物理 · 物理学 2018-03-09 F. T. Tabesh , G. Karpat , S. Maniscalco , S. Salimi , A. S. Khorashad

We study the dynamics of a symmetric two-level system strongly coupled to a broadened harmonic mode. Upon mapping the problem onto a spin-boson model with peaked spectral density, we show how analytic solutions can be obtained, at arbitrary…

统计力学 · 物理学 2009-11-13 F. Nesi , M. Grifoni , E. Paladino

We present a comprehensive analysis of the performance of different classes of Gaussian states in the estimation of Gaussian phase-insensitive dissipative channels. In particular, we investigate the optimal estimation of the damping…

量子物理 · 物理学 2011-01-26 A. Monras , F. Illuminati

We investigate how to model Markovian evolution of coupled harmonic oscillators, each of them interacting with a local environment. When the coupling between the oscillators is weak, dissipation may be modeled using local Lindblad terms for…

量子物理 · 物理学 2014-12-17 Chaitanya Joshi , Patrik Ohberg , James D. Cresser , Erika Andersson

We study a generic open quantum system where the coupling between the system and its environment is of an energy-preserving quantum nondemolition (QND) type. We obtain the general master equation for the evolution of such a system under the…

量子物理 · 物理学 2007-10-02 Subhashish Banerjee , R. Ghosh

The bi-partite Gaussian state, corresponding to an anisotropic harmonic oscillator in a noncommutative-space, is investigated with the help of the Simon's separability condition (generalized Peres-Horodecki criterion). It turns out that, in…

量子物理 · 物理学 2022-12-16 Pinaki Patra

It has been proven that the quantum discord is a more general tool to capture non-classical correlation than quantum entanglement, because there is a non-zero quantum discord in several mixed states that could not be measured by quantum…

量子物理 · 物理学 2015-03-20 N. Doustimotlagh

We present a technique to resolve a Gaussian density matrix and its time evolution through known expectation values in position and momentum. Further we find the full spectrum of this density matrix and apply the technique to a chain of…

量子物理 · 物理学 2007-05-23 Stein Olav Skrøvseth

We show that a von Neumann measurement on a part of a composite quantum system unavoidably creates distillable entanglement between the measurement apparatus and the system if the state has nonzero quantum discord. The minimal distillable…

量子物理 · 物理学 2011-05-03 Alexander Streltsov , Hermann Kampermann , Dagmar Bruß