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Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of…

量子物理 · 物理学 2021-12-09 Patrick P. Potts , Alex Arash Sand Kalaee , Andreas Wacker

Local master equations are a widespread tool to model open quantum systems, especially in the context of many-body systems. These equations, however, are believed to lead to thermodynamic anomalies and violation of the laws of…

量子物理 · 物理学 2021-02-23 Adam Hewgill , Gabriele De Chiara , Alberto Imparato

The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several interacting subsystems such a derivation is in many…

量子物理 · 物理学 2018-11-20 G. De Chiara , G. Landi , A. Hewgill , B. Reid , A. Ferraro , A. J. Roncaglia , M. Antezza

Within the emerging field of quantum thermodynamics the issues of heat transfer and heat rectification are basic ingredients for the understanding and design of heat engines or refrigerators at nanoscales. Here, a consistent and versatile…

统计力学 · 物理学 2018-11-21 Thomas Motz , Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

By using projection superoperators, we present a new derivation of the quantum master equation first obtained by the Authors in Phys. Rev. E {\bf 68}, 066112 (2003). We show that this equation describes the dynamics of a subsystem weakly…

统计力学 · 物理学 2010-03-01 Massimiliano Esposito , Pierre Gaspard

A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the…

统计力学 · 物理学 2009-11-10 M. Esposito , P. Gaspard

Nonequilibrium energy transport serves as one of fundamental problems in quantum thermodynamics and quantum technologies. Driven quantum master equation in the dressed picture provides an efficient way of investigating nonequilibrium energy…

量子物理 · 物理学 2026-04-01 Junran Kong , Yuwei Lu , Huan Liu , Liwei Duan , Chen Wang

We describe a numerical scheme for exactly simulating the heat current behavior in a quantum harmonic chain with self-consistent reservoirs. Numerically-exact results are compared to classical simulations and to the quantum behavior under…

介观与纳米尺度物理 · 物理学 2015-05-28 Malay Bandyopadhyay , Dvira Segal

Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility?…

量子物理 · 物理学 2019-02-20 Wei-Min Zhang

We obtain an analytical expression for the heat current between two overdamped quantum oscillators interacting with local thermal baths at different temperatures. The total heat current is split into classical and quantum contributions. We…

量子物理 · 物理学 2021-01-04 Sadeq S. Kadijani , Thomas L. Schmidt , Massimiliano Esposito , Nahuel Freitas

We develop the strong coupling quantum thermodynamics based on the solution of the exact master equation. We find that both the Hamiltonian and the temperature must be renormalized due to the system-reservoir couplings. With the…

量子物理 · 物理学 2020-10-06 Wei-Ming Huang , Wei-Min Zhang

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

统计力学 · 物理学 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

The understanding of the underlying dynamical mechanisms which determine the macroscopic laws of heat conduction is a long standing task of non-equilibrium statistical mechanics. A better understanding of the mechanism of heat conduction…

统计力学 · 物理学 2011-09-08 Giulio Casati , Carlos Mejia-Monasterio

We develop a perturbation theory of quantum (and classical) master equations with slowly varying parameters, applicable to systems which are externally controlled on a time scale much longer than their characteristic relaxation time. We…

量子物理 · 物理学 2017-08-09 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

Many important applications in biochemistry, materials science, and catalysis sit squarely at the interface between quantum and statistical mechanics: coherent evolution is interrupted by discrete events, such as binding of a substrate or…

Quantum thermodynamics with open systems is often based on the quantum optical weak-coupling master equation or on operational repeated interaction models, whereas early works on thermalisation and on decoherence theory were mostly…

量子物理 · 物理学 2025-06-27 Michael Gaida , Giulio Gasbarri , Stefan Nimmrichter

In this paper, we study the exact dynamics of general open systems interacting with its environment through particle exchanges. The paper includes two main results. First, by taking advantage of the propagating function in the coherent…

量子物理 · 物理学 2020-08-26 Fei-Lei Xiong , Wei-Min Zhang

We derive a new perturbative quantum master equation for the reduced density matrix of a system interacting with an environment (with a dense spectrum of energy levels). The total system energy (system plus environment) is constant and…

统计力学 · 物理学 2007-05-23 Massimiliano Esposito , Pierre Gaspard

Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system…

量子物理 · 物理学 2021-04-07 Roie Dann , Ronnie Kosloff

Master equations under appropriate assumptions are efficient tools for the study of open quantum systems. For many-body systems, subsystems of which locally couple to thermal baths and weakly interact with each other, the local approach…

量子物理 · 物理学 2023-01-13 Si-Ying Wang , Qinghong Yang , Fu-Lin Zhang
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