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Based on the observation that the thermodynamic equilibrium free energy of an open quantum system in contact with a thermal environment can be understood as the difference between the free energy of the total system and that of the bare…

统计力学 · 物理学 2009-06-01 Michele Campisi , Peter Talkner , Peter Hänggi

The classical Jarzynski equality establishes an exact relation between the stochastic work performed on a system driven out of thermal equilibrium and the free energy difference in a corresponding quasi-static process. This fluctuation…

量子物理 · 物理学 2025-08-21 Konstantin Beyer , Walter T. Strunz

We consider the quantum mechanical generalization of Crooks Fluctuation Theorem and Jarzynski Equality for an open quantum system. The explicit expression for microscopic work for an arbitrary prescribed protocol is obtained, and the…

统计力学 · 物理学 2008-12-31 H. T. Quan , H. Dong

In this paper we present a first-principles analysis of the nonequilibrium work distribution and the free energy difference of a quantum system interacting with a general environment (with arbitrary spectral density and for all…

量子物理 · 物理学 2012-02-07 Y. Subasi , B. L. Hu

We study work fluctuation theorems for oscillators in non-Markovian heat baths. By calculating the work distribution function for a harmonic oscillator with motion described by the generalized Langevin equation, the Jarzynski equality (JE),…

统计力学 · 物理学 2009-11-11 Trieu Mai , Abhishek Dhar

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

量子物理 · 物理学 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

The fluctuation theorems, and in particular, the Jarzynski equality, are the most important pillars of modern non-equilibrium statistical mechanics. We extend the quantum Jarzynski equality together with the Two-Time Measurement Formalism…

统计力学 · 物理学 2018-03-01 Anthony Bartolotta , Sebastian Deffner

We study two non-equilibrium work fluctuation theorems, the Crooks' theorem and the Jarzynski equality, for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled. The sufficient…

统计力学 · 物理学 2010-02-22 Punyabrata Pradhan , Yariv Kafri , Dov Levine

We show that the quantum Jarzynski equality generalizes to $\mathcal{PT}$-symmetric quantum mechanics with unbroken $\mathcal{PT}$-symmetry. In the regime of broken $\mathcal{PT}$-symmetry the Jarzynski equality does not hold as also the…

统计力学 · 物理学 2015-04-22 Sebastian Deffner , Avadh Saxena

Thermodynamics constrains changes to the energy of a system, both deliberate and random, via its first and second laws. When the system is not in equilibrium, fluctuation theorems such as the Jarzynski equality further restrict the…

Firstly the fluctuation theorems (FT) for expended work in a driven nonequilibrium system, isolated or thermostatted, together with the ensuing Jarzynski work-energy (W-E) relationships, will be discussed and reobtained. Secondly, the…

统计力学 · 物理学 2016-10-31 Carolyne M. Van Vliet

There are two related theorems which hold even in far from equilibrium, namely fluctuation theorem and Jarzynski equality. Fluctuation theorem states the existence of symmetry of fluctuation of entropy production, while Jarzynski equality…

统计力学 · 物理学 2009-11-10 T. Monnai

We propose a method to evaluate general thermodynamic fluctuations in open quantum systems, based on performing a two-point measurement scheme on the system using dynamics-dependent thermodynamic observables. Our approach allows one to…

量子物理 · 物理学 2026-04-30 Alessandra Colla , Andrea Smirne , Heinz-Peter Breuer , Bassano Vacchini

We illustrate recent results concerning the validity of the work fluctuation theorem in open quantum systems [M. Campisi, P. Talkner, and P. H\"{a}nggi, Phys. Rev. Lett. {\bf 102}, 210401 (2009)], by applying them to a solvable model of an…

统计力学 · 物理学 2009-09-14 Michele Campisi , Peter Talkner , Peter Hänggi

In this work, we show that a universal quantum work relation for a quantum system driven arbitrarily far from equilibrium extend to $\mathcal{PT}$-symmetric quantum system with unbroken $\mathcal{PT}$ symmetry, which is a consequence of…

统计力学 · 物理学 2018-01-17 Bo-Bo Wei

We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when restricted to the weak-coupling and…

量子物理 · 物理学 2022-06-29 Gabriele De Chiara , Alberto Imparato

The Jarzynski equality is a cornerstone of nonequilibrium thermodynamics, linking work statistics to equilibrium free-energy differences. Although it has been extensively verified in classical and quantum Hermitian settings, its status in…

量子物理 · 物理学 2026-05-12 Zongru Yang , Teng Liu , Xiaodong Tan , Feng Zhu , Le Luo

Quantum work fluctuation theorem (FT) commonly requires the system initially prepared in an equilibrium state. Whether there exists universal exact quantum work FT for initial state beyond equilibrium needs further discussions. Here, I…

统计力学 · 物理学 2024-01-12 Bao-Ming Xu

In this work, we numerically verify the Jarzynski equality and Crook fluctuation theorem for a Brownian particle diffusing in a heterogeneous thermal bath and hence having a non-Gaussian position distribution. We use the…

统计力学 · 物理学 2026-03-05 A. Saravanan , I. Iyyappan

In this study, we rederive the fluctuation theorems in presence of feedback, by assuming the known Jarzynski equality and detailed fluctuation theorems. We first reproduce the already known work theorems for a classical system, and then…

统计力学 · 物理学 2015-05-30 Sourabh Lahiri , Shubhashis Rana , A. M. Jayannavar
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