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To define the work performed on a driven quantum system in a physically sound way has turned out to be a truly non-trivial task, except in some special cases of limited applicability. This topic has been in a focus of intense research…

统计力学 · 物理学 2012-12-27 Jukka P. Pekola , Paolo Solinas , Alexander Shnirman , Dmitri V. Averin

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

Quantum Brownian motion, described by the Caldeira-Leggett model, brings insights to understand phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing…

统计力学 · 物理学 2021-12-15 Jin-Fu Chen , Tian Qiu , H. T. Quan

As the dimensions of physical systems approach the nanoscale, the laws of thermodynamics must be reconsidered due to the increased importance of fluctuations and quantum effects. While the statistical mechanics of small classical systems is…

量子物理 · 物理学 2014-12-11 S. Gasparinetti , P. Solinas , A. Braggio , M. Sassetti

This article sets up a new formalism to investigate stochastic thermodynamics of out-of-equilibrium quantum systems, where stochasticity primarily comes from quantum measurement. In the absence of any bath, we define a purely quantum…

量子物理 · 物理学 2016-10-17 Cyril Elouard , David Herrera Marti , Maxime Clusel , Alexia Auffèves

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 give a quantum version of the Jarzynski relation between the distribution of work done over a certain time-interval on a system and the difference of equilibrium free energies. The main new ingredient is the identification of work…

凝聚态物理 · 物理学 2015-05-26 Wojciech De Roeck , Christian Maes

In this paper we aim at characterizing the effect of stochastic fluctuations on the distribution of the energy exchanged by a quantum system with an external environment under sequences of quantum measurements performed at random times.…

The equipartition theorem states that in equilibrium thermal energy is equally distributed among uncoupled degrees of freedom which appear quadratically in the system's Hamiltonian. However, for spatially coupled degrees of freedom --- such…

统计力学 · 物理学 2015-07-14 Yohai Bar-Sinai , Eran Bouchbinder

Recent progress on micro- and nanometer scale manipulation has opened the possibility to probe systems small enough that thermal fluctuations of energy and coordinate variables can be significant compared with their mean behavior. We…

介观与纳米尺度物理 · 物理学 2012-11-02 O. -P. Saira , Y. Yoon , T. Tanttu , M. Möttönen , D. V. Averin , J. P. Pekola

It is generally believed that quantum fluctuations collaborate with thermal fluctuations, effectively reducing transition temperatures (e.g. for melting of charge order). We show that this is not always the case and that the interplay…

强关联电子 · 物理学 2026-04-23 Aman Kumar , Sogoud Sherif , Veit Elser , Hitesh J. Changlani

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 Theorem and the Jarzynski equality are examined in the light of recent experimental tests. For a particle dragged through a solvent, it is shown that $Q,$ the heat exchanged with the reservoir, obeys the asymptotic…

统计力学 · 物理学 2009-11-10 Onuttom Narayan , Abhishek Dhar

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

By taking full advantage of the dynamic property imposed by the detailed balance condition, we derive a new refined unified fluctuation theorem (FT) for general stochastic thermodynamic systems. This FT involves the joint probability…

统计力学 · 物理学 2015-07-27 Zongping Gong , H. T. Quan

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

统计力学 · 物理学 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

A result of great theoretical and experimental interest, Jarzynski equality predicts a free energy change $\Delta F$ of a system at inverse temperature $\beta$ from an ensemble average of non-equilibrium exponential work, i.e., $\langle…

统计力学 · 物理学 2017-10-18 Juan D. Jaramillo , Jiawen Deng , Jiangbin Gong

Building on parallels between geometric quantum mechanics and classical mechanics, we explore an alternative basis for quantum thermodynamics that exploits the differential geometry of the underlying state space. We develop both…

量子物理 · 物理学 2024-03-13 Fabio Anza , James P. Crutchfield

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

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

统计力学 · 物理学 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar