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The usual paradigm of open quantum systems falls short when the environment is actually coupled to additional fields or components that drive it out of equilibrium. Here we explore the simplest such scenario, by considering a two level…

量子物理 · 物理学 2020-09-08 Andreu Anglés-Castillo , Mari Carmen Bañuls , Armando Pérez , Inés De Vega

In literature on stochastic thermodynamics it is stated that for a system connected to multiple thermal reservoirs, the transition rates between two energy levels equals the sum of transition rates corresponding to each thermal bath the…

统计力学 · 物理学 2024-07-31 Vaibhav Wasnik

Recent research on the fundamentals of statistical mechanics has led to an interesting discovery [1-3]: With locally nonchaotic barriers, as Boltzmann's H-theorem is inapplicable, there exist nontrivial non-thermodynamic systems that can…

统计力学 · 物理学 2025-05-27 Yu Qiao

After establishing stochastic thermodynamics for underdamped Langevin systems in contact with multiple reservoirs, we derive its overdamped limit using timescale separation techniques. The overdamped theory is different from the naive…

统计力学 · 物理学 2017-01-03 Yûto Murashita , Massimiliano Esposito

It is known that the origin of the deviations from standard thermodynamics proceed from the strong coupling to the bath. Here, it is shown that these deviations are related to the power spectrum of the bath. Specifically, it is shown that…

量子物理 · 物理学 2015-08-26 Johan F. Triana

For open quantum systems coupled to a thermal bath at inverse temperature $\beta$, it is well known that under the Born-, Markov-, and secular approximations the system density matrix will approach the thermal Gibbs state with the bath…

量子物理 · 物理学 2011-03-15 Gernot Schaller

The mathematical physics of mechanical systems in thermal equilibrium is a well studied, and relatively easy, subject, because the Gibbs distribution is in general an adequate guess for the equilibrium state. On the other hand, the…

数学物理 · 物理学 2007-05-23 Jean-Pierre Eckmann

The coupling between a quantum dynamical system and a two-level system reservoir is analysed within the framework of the Feynman-Vernon theory. We stress the differences between this new reservoir and the well-known bath of oscillators and…

凝聚态物理 · 物理学 2009-10-22 A. O. Caldeira , A. H. Castro Neto , T. Oliveira de Carvalho

During the past dozen years there have been numerous articles on a relation between entropy and probability which is non-additive and has a parameter $q$ that depends on the nature of the thermodynamic system under consideration. For $q=1$…

统计力学 · 物理学 2009-11-07 Michael Nauenberg

In this work we investigate the late-time stationary states of open quantum systems coupled to a thermal reservoir in the strong coupling regime. In general such systems do not necessarily relax to a Boltzmann distribution if the coupling…

统计力学 · 物理学 2013-01-15 Y. Subasi , C. H. Fleming , J. M. Taylor , B. L. Hu

We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is…

统计力学 · 物理学 2022-05-03 Mihail Mintchev

The phenomenon described by our title should surprise no one. What may be surprising though is how easy it is to produce a quantum system with this feature; moreover, that system is one that is often used for the purpose of showing how…

统计力学 · 物理学 2015-05-30 B. Gaveau , L. S. Schulman

The model of multi-level open quantum system interacting with a non-vacuum reservoir in the rotating wave approximation is considered. We provide an exact integral representation for the reduced density matrix of the system. For identical…

量子物理 · 物理学 2025-08-05 A. E. Teretenkov

Statistical formulations of thermodynamic entropy, such as those by Boltzmann and Gibbs, were originally developed for classical systems and are well understood in that context. However, the foundational aspects of quantum statistical…

量子物理 · 物理学 2025-10-08 Smitarani Mishra , Shaon Sahoo

We examine the question of whether the formal expressions of equilibrium statistical mechanics can be applied to time independent non-dissipative systems that are not in true thermodynamic equilibrium and are nonergodic. By assuming the…

统计力学 · 物理学 2007-11-09 Stephen R. Williams , Denis J. Evans

Two identical finite quantum systems prepared initially at different temperatures, isolated from the environment, and subsequently brought into contact are demonstrated to relax towards Gibbs-like quasi-equilibrium states with a common…

统计力学 · 物理学 2011-01-10 Alexey V. Ponomarev , Sergey Denisov , Peter Hänggi

The second law of thermodynamics states that the entropy of an isolated system can only increase over time. This appears to conflict with the reversible evolution of isolated quantum systems under the Schr\"odinger equation, which preserves…

量子物理 · 物理学 2025-01-16 Florian Meier , Tom Rivlin , Tiago Debarba , Jake Xuereb , Marcus Huber , Maximilian P. E. Lock

Stochastic representation for interaction of quantum systems is formulated which allows to replace some of them by equivalent but purely commutative random sources. The formalism is applied to two-level systems interacting with Gaussian…

统计力学 · 物理学 2016-08-31 Yu. E. Kuzovlev

Exploiting the rich phenomenology of periodically-driven many-body systems is notoriously hindered by persistent heating in both the classical and quantum realm. Here, we investigate to what extent coupling to a large thermal reservoir…

统计力学 · 物理学 2022-08-22 Thomas Veness , Kay Brandner

We derive a general quantum exchange fluctuation theorem for multipartite systems with arbitrary coupling strengths by taking into account the informational contribution of the back-action of the quantum measurements, which contributes to…

量子物理 · 物理学 2023-07-18 Akira Sone , Diogo O. Soares-Pinto , Sebastian Deffner
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