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Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

量子物理 · 物理学 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

We consider a fermionic quantum system exchanging particles with an environment at a fixed temperature and study its reduced evolution by means of a Redfield-I equation with time-dependent (non-Markovian) coefficients. We find that the…

介观与纳米尺度物理 · 物理学 2025-02-04 Lukas Litzba , Eric Kleinherbers , Jürgen König , Ralf Schützhold , Nikodem Szpak

The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a trade-off relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines.…

统计力学 · 物理学 2021-03-31 Junjie Liu , Dvira Segal

We prove the second law of thermodynamics and the nonequilibirum fluctuation theorem for pure quantum states.The entire system obeys reversible unitary dynamics, where the initial state of the heat bath is not the canonical distribution but…

统计力学 · 物理学 2017-09-13 Eiki Iyoda , Kazuya Kaneko , Takahiro Sagawa

Fluctuations of thermodynamic observables, such as heat and work, contain relevant information on the underlying physical process. These fluctuations are however not taken into account in the traditional laws of thermodynamics. While the…

量子物理 · 物理学 2022-05-25 Timo Kerremans , Peter Samuelsson , Patrick P. Potts

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

We present a systematic procedure to derive a quantum master equation for thermal relaxation in real scalar field theory, expanding on the method proposed in [Koide and Nicacio, Phys. Lett. A494, 129277 (2024)]. We begin by introducing a…

量子物理 · 物理学 2025-12-04 T. Koide , F. Nicacio

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

量子物理 · 物理学 2024-10-07 Kacper Prech , Patrick P. Potts

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for closed and open quantum systems far from equilibrium, where…

量子物理 · 物理学 2021-08-31 Philipp Strasberg , Andreas Winter

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

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

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

When the coupling of a quantum system to its environment is non-negligible, its steady state is known to deviate from the textbook Gibbs state. The Bloch-Redfield quantum master equation, one of the most widely adopted equations to solve…

量子物理 · 物理学 2025-03-27 Prem Kumar , K. P. Athulya , Sibasish Ghosh

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

统计力学 · 物理学 2016-06-29 Kay Brandner , Udo Seifert

The fluctuation-dissipation theorem (FDT) is a fundamental result in statistical mechanics. It stipulates that, if perturbed out of equilibrium, a system responds at a rate proportional to a thermal-equilibrium property. Applications range…

量子物理 · 物理学 2026-04-27 Jae Dong Noh , Aleksander Lasek , Jade LeSchack , Nicole Yunger Halpern

We treat a quantum mechanical system with certain general properties which are expected to be common in macroscopic quantum systems. Starting from a PURE initial state (which may not describe an equilibrium) in which energy is mildly…

统计力学 · 物理学 2007-05-23 Hal Tasaki

We study the thermodynamics of a quantum system interacting with different baths in the repeated interaction framework. In an appropriate limit, the evolution takes the Lindblad form and the corresponding thermodynamic quantities are…

量子物理 · 物理学 2018-10-17 Felipe Barra , Cristóbal Lledó

The propagation of a fast particle in a low-density gas at thermal equilibrium is studied in the context of quantum mechanics. A quantum master equation in the Redfield form governing the reduced density matrix of the particle is derived…

量子物理 · 物理学 2022-12-20 David Gaspard

The second law of thermodynamics for adiabatic operations -- constraints on state transitions in closed systems under external control -- is one of the fundamental principles of thermodynamics. On the other hand, it is recently established…

统计力学 · 物理学 2026-02-09 Yuuya Chiba , Yasushi Yoneta , Ryusuke Hamazaki , Akira Shimizu

We provide a rigorous construction of Markovian master equations for a wide class of quantum systems that encompass quadratic models of finite size, linearly coupled to an environment modeled by a set of independent thermal baths. Our…

量子物理 · 物理学 2021-05-18 Antonio D'Abbruzzo , Davide Rossini