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We investigate a total thermodynamic entropy production rate of an isolated quantum system. In particular, we consider a quantum model of coupled harmonic oscillators in a star configuration, where a central harmonic oscillator (system) is…

量子物理 · 物理学 2021-05-19 Takaaki Aoki , Yuichiro Matsuzaki , Hideaki Hakoshima

We establish a connection between non-Markovian memory effects and thermodynamical quantities such as work. We show how memory effects can be interpreted as revivals of work that can be extracted from a quantum system. We prove that…

量子物理 · 物理学 2017-01-24 Bogna Bylicka , Mikko Tukiainen , Jyrki Piilo , Dariusz Chruscinski , Sabrina Maniscalco

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,…

量子物理 · 物理学 2026-02-10 Ronan McElvogue , Andrew K. Mitchell , Gabriel T. Landi , Steve Campbell

The rate of entropy production provides a useful quantitative measure of a non-equilibrium system and estimating it directly from time-series data from experiments is highly desirable. Several approaches have been considered for stationary…

统计力学 · 物理学 2022-02-21 Shun Otsubo , Sreekanth K Manikandan , Takahiro Sagawa , Supriya Krishnamurthy

By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is…

量子物理 · 物理学 2009-08-07 Adrian A. Budini Paolo Grigolini

We show for a large class of interacting particle systems that whenever the stationary measure is not reversible for the dynamics, then the mean entropy production in the steady state is strictly positive. This extends to the thermodynamic…

统计力学 · 物理学 2015-05-26 C. Maes , F. Redig , M. Verschuere

Entropy serves as a central observable in equilibrium thermodynamics. However, many biological and ecological systems operate far from thermal equilibrium. Here we show that entropy production can characterize the behavior of such…

统计力学 · 物理学 2015-03-17 Benjamin Andrae , Jonas Cremer , Tobias Reichenbach , Erwin Frey

We demonstrate that, for a quantum Markovian semigroup on a finite-dimensional Hilbert space, if it satisfies the standard quantum detailed balance condition, its generator admits a special representation that yields a vanishing entropy…

量子物理 · 物理学 2026-05-05 Xin-Hai Tong , Kohei Yoshimura , Tan Van Vu , Naruo Ohga

Entropy, and its temporal evolution, play a central role in the foundations of quantum theory and in modern quantum technologies. Here we study, in particular, the relations between the --- in general, non-Markovian --- evolution of an open…

量子物理 · 物理学 2018-09-18 Paolo Aniello , Joonwoo Bae , Dariusz Chruscinski

The information encoded into an open quantum system that evolves under a Markovian dynamics is always monotonically non-increasing. Nonetheless, for a given quantifier of the information contained in the system, it is in general not clear…

量子物理 · 物理学 2020-09-17 Dario De Santis , Markus Johansson

One of the fundamental issues in the field of open quantum systems is the classification and quantification of non-Markovianity. In the contest of quantity-based measures of non-Markovianity, the intuition of non-Markovianity in terms of…

量子物理 · 物理学 2018-01-24 Hong-Bin Chen , Guang-Yin Chen , Yueh-Nan Chen

The second law of thermodynamics states that entropy production cannot be negative. Recent developments concerning uncertainty relations in stochastic thermodynamics, such as thermodynamic uncertainty relations and speed limits, have…

统计力学 · 物理学 2023-10-09 Tomohiro Nishiyama , Yoshihiko Hasegawa

Active matter is rapidly becoming a key paradigm of out-of-equilibrium soft matter exhibiting complex collective phenomena, yet the thermodynamics of such systems remain poorly understood. In this letter we study the nonequilbrium…

统计力学 · 物理学 2019-10-30 Emanuele Crosato , Mikhail Prokopenko , Richard E. Spinney

We consider a microscopic collision model, i.e., a quantum system interacts with a hierarchical environment consisting of an auxiliary system and a reservoir. We show how the non-Markovian character of the system is influenced by the…

量子物理 · 物理学 2020-10-27 Yong-Wei Li , Lei Li

The nonadiabatic entropy production is a useful tool for the thermodynamic analysis of continuously dissipating, nonequilibrium steady states. For open quantum systems, two seemingly distinct definitions for the nonadiabatic entropy…

量子物理 · 物理学 2015-06-19 Jordan M. Horowitz , Takahiro Sagawa

In order to engineer an open quantum system and its evolution, it is essential to identify and control the memory effects. These are formally attributed to the non-Markovianity of dynamics that manifests itself by the evolution being…

量子物理 · 物理学 2020-03-23 Jan Kolodynski , Swapan Rana , Alexander Streltsov

In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital quantum maps. In particular, as in [Phys. Rev. E 92, 032129 (2015)], we consider Kraus operators…

量子物理 · 物理学 2023-06-21 Eliana Fiorelli , Stefano Gherardini , Stefano Marcantoni

We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of…

统计力学 · 物理学 2018-07-04 Tânia Tomé , Mário J. de Oliveira

A general thermodynamic framework is presented for open quantum systems in fixed contact with a thermal reservoir. The first and second law are obtained for arbitrary system-reservoir coupling strengths, and including both factorized and…

量子物理 · 物理学 2020-04-23 Ángel Rivas

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

统计力学 · 物理学 2015-12-03 Ian J. Ford