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We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a…

量子物理 · 物理学 2015-05-13 Sabrina Maniscalco , Jyrki Piilo , Kalle-Antti Suominen

The von Neumann entropy of various quantum dissipative models is calculated in order to discuss the entanglement properties of these systems. First, integrable quantum dissipative models are discussed, i.e., the quantum Brownian motion and…

量子物理 · 物理学 2009-11-11 T. Stauber , F. Guinea

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

量子物理 · 物理学 2019-09-04 Loic Henriet

The dissipative dynamics of a quantum Brownian particle is studied for different types of environment. We derive analytic results for the time evolution of the mean energy of the system for Ohmic, sub-Ohmic and super-Ohmic environments,…

量子物理 · 物理学 2010-01-28 J. Paavola , J. Piilo , K. -A. Suominen , S. Maniscalco

Quantum entanglement has been actively sought for in optomechanical and electromechanical systems. The simplest such system is a mechanical oscillator interacting with a coherent beam, while the oscillator also suffers from thermal…

量子物理 · 物理学 2015-05-13 Haixing Miao , Stefan Danilishin , Yanbei Chen

The possibility of maintaining entanglement in a quantum system at finite, even high, temperatures -- the so-called `hot entanglement' -- has obvious practical interest, but also requires closer theoretical scrutiny. Since quantum…

高能物理 - 理论 · 物理学 2015-10-13 Jen-Tsung Hsiang , B. L. Hu

The fundamental quantum dynamics of two interacting oscillator systems are studied in two different scenarios. In one case, both oscillators are assumed to be linear, whereas in the second case, one oscillator is linear and the other is a…

量子物理 · 物理学 2015-06-26 ILki Kim , Gerald J. Iafrate

Quantum Brownian motion in the strong friction limit is studied based on the exact path integral formulation of dissipative systems. In this limit the time-nonlocal reduced dynamics can be cast into an effective equation of motion, the…

统计力学 · 物理学 2009-11-10 Joachim Ankerhold , Hermann Grabert , Philip Pechukas

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

量子物理 · 物理学 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We study a particular form of interaction Hamiltonian between qubits and quantum harmonic oscillators, whose closed system dynamics results in qubit controlled displacement operations. We show how this interaction is realizable in many…

量子物理 · 物理学 2012-09-18 Tommaso Tufarelli

We study the nonequilibrium steady-state of a fully-coupled network of $N$ quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number…

统计力学 · 物理学 2022-09-27 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

A particle subjected to a fluctuating force originated from its interaction with an external quantum system undergoes quantum Brownian motion. This phenomenon is investigated in detail for the case of a particle confined by a harmonic…

量子物理 · 物理学 2025-01-29 Ygor de Oliveira Souza , Caio C. Holanda Ribeiro , Vitorio A. De Lorenci

We investigate a quantum metrological protocol operating in a non-Markovian environment by employing the quantum Brownian motion (QBM) model, in which the system is linearly coupled to a reservoir of harmonic oscillators. Specifically, we…

Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution…

量子物理 · 物理学 2019-08-17 Diego G. Arbo , Mario A. Castagnino , Fabian H. Gaioli , Sergio Iguri

Quantum brownian motion is a fundamental model for a proper understanding of open quantum systems in different contexts such as chemistry, condensed matter physics, bio-physics and opto- mechamics. In this paper we propose a novel approach…

量子物理 · 物理学 2017-05-31 Matteo Carlesso , Angelo Bassi

Are Markovian master equations for quantum Brownian motion independent of model assumptions used in the derivation and, thus, universal? With the aim of answering this question, we use a random band-matrix model for the system-bath…

统计力学 · 物理学 2015-06-25 Eric Lutz , Hans A. Weidenmueller

This paper reviews the formulation of the Feynman-Vernon model of linear dissipative systems for a standard Brownian particle moving in an external potential $V(x,t)$ and introduces the formulation of a generalized oscillator model of a…

量子物理 · 物理学 2018-03-29 Marco Patriarca

We develop a novel approach aimed at solving the equations of motion of open quantum many-body systems. It is based on a combination of generalized wave function trajectories and matrix product states. We introduce an adaptive quantum…

量子物理 · 物理学 2022-06-15 Tatiana Vovk , Hannes Pichler

We consider two separated oscillators initially in equilibrium and continuously interacting with thermal environments, and propose a way to entangle them using a mediating qubit. An appropriate interaction allows for an analytic treatment…

量子物理 · 物理学 2009-12-11 Tommaso Tufarelli , M. S. Kim , Sougato Bose

We revisit the model of a system made up of a Brownian quantum oscillator under the influence of an external classical force and linearly coupled to an environment made up of many quantum oscillators at zero or finite temperature. We show…

量子物理 · 物理学 2007-05-23 C. H. Fleming , B. L. Hu , Albert Roura