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We derive a general information-theoretic equality for a system undergoing two projective measurements separated by a general temporal evolution. The equality implies the non-negativity of the mutual information between the measurement…

Quantum Physics · Physics 2015-06-04 Vlatko Vedral

In this Letter we investigate the concept of quantum work and its measurability from the viewpoint of quantum measurement theory. Very often, quantum work and fluctuation theorems are discussed in the framework of projective two-point…

Quantum Physics · Physics 2022-08-11 Konstantin Beyer , Roope Uola , Kimmo Luoma , Walter T. Strunz

The relation between the distribution of work performed on a classical system by an external force switched on an arbitrary timescale, and the corresponding equilibrium free energy difference, is generalized to quantum systems. Using the…

Statistical Mechanics · Physics 2007-05-23 Shaul Mukamel

The Jarzynski identity can be applied to instances when a microscopic system is pulled repeatedly but quickly along some coordinate, allowing the calculation of an equilibrium free energy profile along the pulling coordinate from a set of…

Statistical Mechanics · Physics 2015-06-11 Daun Jeong , Ioan Andricioaei

The work performed on a system in a microcanonical state by changes in a control parameter is characterized in terms of its statistics. The transition probabilities between eigenstates of the system Hamiltonians at the beginning and the end…

Statistical Mechanics · Physics 2014-01-21 Peter Talkner , Manuel Morillo , Juyeon Yi , Peter Hanggi

The Jarzynski equality (JE), which connects the equilibrium free energy with non-equilibrium work statistics, plays a crucial role in quantum thermodynamics. Although practical quantum systems are usually multi-level systems, most tests of…

Quantum Physics · Physics 2023-10-26 Wenquan Liu , Zhibo Niu , Wei Cheng , Xin Li , Chang-Kui Duan , Zhangqi Yin , Xing Rong , Jiangfeng Du

We consider a single Josephson junction in the presence of time varying gate charge, and examine the nonequilibrium work done by the charge control in the framework of fluctuation theorems. We obtain the probability distribution functions…

Statistical Mechanics · Physics 2013-02-07 Su Do Yi , Beom Jun Kim , Juyeon Yi

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

Statistical Mechanics · Physics 2009-09-25 Gavin E. Crooks

Jarzynski's equality provides an elegant and powerful tool to directly compute differences in free energy in Monte Carlo simulations and it can be readily extended to lattice gauge theories to compute a large set of physically interesting…

High Energy Physics - Lattice · Physics 2018-04-18 Alessandro Nada , Michele Caselle , Marco Panero

An open question in the field of non-equilibrium statistical physics is whether there exists a unique way through which non-equilibrium systems equilibrate irrespective of how far they are away from equilibrium. To answer this question we…

Statistical Mechanics · Physics 2014-03-14 P. Barat , A. Giri , Nilangshu K. Das , M. Bhattacharya , A. Dutta

We discover a new version of the celebrated Montgomery identity via quantum integral operators and establish certain quantum integral inequalities of Ostrowski type by using this identity. Relevant connections of the results obtained in…

General Mathematics · Mathematics 2019-07-09 Mehmet Kunt , Artion Kashuri , Tingsong Du

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of…

Quantum Physics · Physics 2025-11-05 Franklin L. S. Rodrigues , Eric Lutz

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…

Statistical Mechanics · Physics 2024-01-12 Bao-Ming Xu

We consider the problem of constructing a thermodynamic theory of non-equilibrium steady states as a formal extension of the equilibrium theory. Specifically, studying a particular system, we attempt to construct a phenomenological theory…

Statistical Mechanics · Physics 2009-06-11 Glenn C. Paquette

In this paper, we derive the Jarzynski equality (JE) for an isolated quantum system in three different cases: (i) the full evolution is unitary with no intermediate measurements, (ii) with intermediate measurements of arbitrary observables…

Statistical Mechanics · Physics 2015-06-03 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

We use the work done on and the heat removed from a system to maintain it in a nonequilibrium steady state for a thermodynamic-like description of such a system as well as of its fluctuations. Based on a generalized Onsager-Machlup theory…

Statistical Mechanics · Physics 2008-02-10 Tooru Taniguchi , E. G. D. Cohen

We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski's equality and Crooks' fluctuation theorem in this setup. In particular, we regard the discrete time case that leads to an…

Statistical Mechanics · Physics 2022-12-14 Pedro Hack , Sebastian Gottwald , Daniel A. Braun

We perform a theoretical test of Jarzynski relation for an adiabatic stretching of an isotropic spring, which is an exactly solvable model. It turns out that Jarzynski relation does not hold even when the entire infinite momentum space of…

Statistical Mechanics · Physics 2007-05-23 Jaeyoung Sung

Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work…

Statistical Mechanics · Physics 2021-02-12 Christoph Streißnig , Holger Kantz

Nonequilibrium statistical physics is concerned with a fundamental problem in physics, the phenomenon of irreversibility, which is not rigorously solved yet. Different approaches to the statistical mechanics of nonequilibrium processes are…

Statistical Mechanics · Physics 2019-05-07 G. Röpke