English
Related papers

Related papers: Computing Free Energies with Fluctuation Relations…

200 papers

The Jarzynski equality, which relates equilibrium free-energy difference to an average of non-equilibrium work, plays a central role in modern non-equilibrium statistical thermodynamics. In this paper, we study a weaker consequence of this…

Statistical Mechanics · Physics 2026-01-06 Dani R. Castellanos , Petr Jizba

According to the Jarzynski theorem, equilibrium free energy differences can be calculated from the statistics of work carried out during non-equilibrium transformations. Although exact, this approach can be plagued by large statistical…

Statistical Mechanics · Physics 2007-05-23 Wolfgang Lechner , Christoph Dellago

We present here a set of lecture notes on exact fluctuation relations. We prove the Jarzynski equality and the Crooks fluctuation theorem, two paradigmatic examples of classical fluctuation relations. Finally we consider their quantum…

Quantum Physics · Physics 2017-09-04 Paolo Facchi , Giancarlo Garnero , Marilena Ligabò

Fluctuation theorems establish exact relations for nonequilibrium dynamics, profoundly advancing the field of stochastic thermodynamics. In this work, we extend quantum fluctuation theorems beyond the traditional thermodynamic framework to…

Quantum Physics · Physics 2026-02-24 Kun Zhang , Mo-Yang Ni , Hai-Long Shi , Xiao-Hui Wang , Jin Wang

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

Quantum Physics · Physics 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

When a thermally isolated system performs a driving process in the quasistatic regime, its variation of average energy is equal to its quasistatic work. Even though presenting this simple definition, few attempts have been made to describe…

Statistical Mechanics · Physics 2025-02-17 Pierre Nazé

Inspired by the idea that quantum computers can be useful in advancing basic science, we use a quantum processor to experimentally validate a number of theoretical results in non-equilibrium quantum thermodynamics, that were not (or were…

Quantum Physics · Physics 2021-10-01 Andrea Solfanelli , Alessandro Santini , Michele Campisi

In this paper we study computationally feasible bounds for relative free energies between two many-particle systems. Specifically, we consider systems out of equilibrium that do not necessarily satisfy a fluctuation-dissipation relation,…

Statistical Mechanics · Physics 2024-03-19 Luigi Delle Site , Carsten Hartmann

Extracting equilibrium information from nonequilibrium measurements is a challenge task of great importance in understanding the thermodynamic properties of physical, chemical, and biological systems. The discovery of the Jarzynski equality…

Statistical Mechanics · Physics 2021-03-29 Geng Li , Z. C. Tu

From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in…

Quantum Physics · Physics 2019-11-05 Tiago Debarba , Gonzalo Manzano , Yelena Guryanova , Marcus Huber , Nicolai Friis

Fluctuation theorems provide a correspondence between properties of quantum systems in thermal equilibrium and a work distribution arising in a non-equilibrium process that connects two quantum systems with Hamiltonians $H_0$ and…

We extend the Exchange Fluctuation Theorem for energy exchange between thermal quantum systems beyond the assumption of molecular chaos, and describe the non-equilibrium exchange dynamics of correlated quantum states. The relation…

Quantum Physics · Physics 2015-10-14 Sania Jevtic , David Jennings , Terry Rudolph , Yuji Hirono , Shojun Nakayama , Mio Murao

The Jarzynski Equality relates the free energy difference between two equilibrium states of a system to the average of the work over all irreversible paths to go from one state to the other. We claim that the derivation of this equality is…

Statistical Mechanics · Physics 2009-11-10 E. G. D. Cohen , David Mauzerall

Thermodynamic uncertainty principles make up one of the few rare anchors in the largely uncharted waters of nonequilibrium systems, the fluctuation theorems being the more familiar. In this work we aim to trace the uncertainties of…

Statistical Mechanics · Physics 2022-08-02 Hang Dong , Daniel Reiche , Jen-Tsung Hsiang , Bei-Lok Hu

We use general concepts of statistical mechanics to compute the quantum frictional force on an atom moving at constant velocity above a planar surface. We derive the zero-temperature frictional force using a non-equilibrium…

Quantum Physics · Physics 2014-05-20 F. Intravaia , R. O. Behunin , D. A. R. Dalvit

According to the Second Law of thermodynamics, the evolution of physical systems has a preferred direction, that is characterized by some positive entropy production. Here we propose a direct way to measure the stochastic entropy produced…

Quantum Physics · Physics 2020-11-13 Juliette Monsel , Cyril Elouard , Alexia Auffèves

Five previously unknown inequalities relating equilibrium free energy differences and non-equilibrium work fluctuations are derived, and lucid path to derivation of many similar inequalities is presented. These results are based upon…

Statistical Mechanics · Physics 2011-05-24 Alexander Davydov

We discuss the role of quantum coherence in the energy fluctuations of open quantum systems. To this aim, we introduce an operational protocol, to which we refer to as the end-point-measurement scheme, allowing to define the statistics of…

Quantum Physics · Physics 2021-11-23 S. Gherardini , A. Belenchia , M. Paternostro , A. Trombettoni

Quantum fluctuations or other moments of a state contribute to energy expectation values and can imply interesting physical effects. In quantum cosmology, they turn out to be important for a discussion of density bounds and instabilities of…

General Relativity and Quantum Cosmology · Physics 2014-07-02 Martin Bojowald

Quantum computing improves substantially on known classical algorithms for various important problems, but the nature of the relationship between quantum and classical computing is not yet fully understood. This relationship can be…

Quantum Physics · Physics 2026-02-20 Jacques Carette , Chris Heunen , Robin Kaarsgaard , Neil J. Ross , Amr Sabry