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In statistical mechanics, any quantum system in equilibrium with its weakly coupled reservoir is described by a canonical state at the same temperature as the reservoir. Here, by studying the equilibration dynamics of a harmonic oscillator…

Quantum Physics · Physics 2014-08-26 Chun-Jie Yang , Jun-Hong An , Hong-Gang Luo , Yading Li , C. H. Oh

The quantum fluctuation-dissipation theorem is a central ingredient in the construction of quantum dynamics of Brownian motion which necessarily is non-Markovian. Yet, often Markovian approximations to quantum dynamics are studied in the…

Statistical Mechanics · Physics 2026-01-06 Michele Coppola , Zoubair Daouma , Malte Henkel

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…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

The study of open quantum systems is important for fundamental issues of quantum physics as well as for technological applications such as quantum information processing. The interaction of a quantum system with it's environment is usually…

Quantum Physics · Physics 2016-02-02 Jun Sun , Yong-Nan Sun , Chuan-Feng Li , Guang-Can Guo , Kimmo Luoma , Jyrki Piilo

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

Collision models provide a simple and versatile setting to capture the dynamics of open quantum systems. The standard approach to thermalisition in this setting involves an environment of independent and identically-prepared thermal qubits,…

Quantum Physics · Physics 2026-02-10 Ronan McElvogue , Andrew K. Mitchell , Gabriel T. Landi , Steve Campbell

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

Statistical Mechanics · Physics 2007-05-23 V. G. Morozov , Gerd Ropke

We show the existence of an entangled nonequilibrium state at very high temperatures when two linearly coupled harmonic oscillators are parametrically driven and dissipate into two independent heat baths. This result has a twofold meaning:…

Quantum Physics · Physics 2010-11-02 Fernando Galve , Leonardo A. Pachon , David Zueco

We study the non-equilibrium dynamics of two coupled oscillators interacting with their own heat baths of quantum scalar fields at different temperature $T_1$ and $T_2$ with bilinear couplings between them. We particularly focus on the…

Quantum Physics · Physics 2021-03-26 Wei-Can Syu , Da-Shin Lee , Chen-Pin Yeh

We study the Markovian process of a multi-mode open system connecting with a non-equilibrium environment, which consists of several heat baths with different temperatures. As an illustration, we study the steady state of three linearly…

Quantum Physics · Physics 2014-03-12 Sheng-Wen Li , Li-Ping Yang , C. P. Sun

A finite-dimensional quantum system is coupled to a bath of oscillators in thermal equilibrium at temperature $T>0$. We show that for fixed, small values of the coupling constant $\lambda$, the true reduced dynamics of the system is…

Quantum Physics · Physics 2022-01-05 Marco Merkli

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

We construct a quantum Markovian Master equation for a driven system coupled to a thermal bath. The derivation utilizes an explicit solution of the propagator of the driven system. This enables the validity of the Master equation to be…

Quantum Physics · Physics 2021-03-11 Roie Dann , Amikam Levy , Ronnie Kosloff

We consider dynamics of a quantum nonlinear oscillator subjected to non-Markovian pumping. Models of this kind can describe formation of exciton-polariton Bose-Einstein condensates in course of stimulated scattering and relaxation of…

Quantum Gases · Physics 2021-10-18 Alexey Alliluev , Denis Makarov

We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a dissipative bosonic environment. We propagate the dynamics of the reduced density matrix of the qubit by integrating the numerically…

Quantum Physics · Physics 2024-04-30 Graziano Amati

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…

High Energy Physics - Theory · Physics 2015-10-13 Jen-Tsung Hsiang , B. L. Hu

A complete treatment of the entanglement of two-level systems, which evolves through the contact with a thermal bath, must include the fact that the system and the bath are not fully separable. Therefore, quantum coherent superpositions of…

Quantum Physics · Physics 2015-05-18 Arend G. Dijkstra , Yoshitaka Tanimura

The Lindblad equation, which describes Markovian quantum dynamics under dissipation, is usually derived under the weak system-bath coupling assumption. Strong system-bath coupling often leads to non-Markov evolution. The singular-coupling…

Statistical Mechanics · Physics 2025-09-26 Takashi Mori

We present a detailed study of the entanglement dynamics of a two-qubit system coupled to independent non-Markovian environments, employing hierarchy equations. This recently developed theoretical treatment can conveniently solve…

Quantum Physics · Physics 2015-05-20 Hao-Tian Wang , Chuan-Feng Li , Yang Zou , Rong-Chun Ge , Guang-Can Guo

The entanglement between a Pauli-like two-level system and a quantum harmonic oscillator enhanced by an interaction between them and a $\delta$-pulse sequence is studied, with the decoherence due to their coupling with a Markovian bath.…

Quantum Physics · Physics 2008-04-16 Kwan-yuet Ho