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We derive the fluctuation theorem for quantum-state statistics that can be obtained when we initially measure the total energy of a quantum system at thermal equilibrium, let the system evolve unitarily, and record the quantum-state data…

Statistical Mechanics · Physics 2018-08-01 Naoto Tsuji , Masahito Ueda

The interplay between thermodynamics, general relativity and quantum mechanics has long intrigued researchers. Recently, important advances have been obtained in thermodynamics, mainly regarding its application to the quantum domain through…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Marcos L. W. Basso , Jonas Maziero , Lucas Chibebe Céleri

This article traces the development of fluctuation theory and its deep connection to irreversibility, from equilibrium to near-equilibrium, and finally to far-from-equilibrium systems. Classical fluctuation theorems, which capture the…

Quantum Physics · Physics 2025-12-30 Sounak Bandyopadhyay , Arnab Ghosh

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained which is the consequence of…

Statistical Mechanics · Physics 2013-07-15 David Andrieux , Pierre Gaspard , Takaaki Monnai , Shuichi Tasaki

Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists…

Quantum Physics · Physics 2023-06-28 Thales Augusto Barbosa Pinto Silva , Renato Moreira Angelo

We theoretically investigate the phase and voltage correlation dynamics, which includes both the deterministic contribution and stochastic fluctuations, under a current noise generated by a resistor including thermal and quantum…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Koichiro Furutani , Luca Salasnich

The fluctuations and correlations of matrix elements of cross sections are investigated in open systems that are chaotic in the classical limit. The form of the correlation functions is discussed within a statistical analysis and tested in…

Chaotic Dynamics · Physics 2007-08-22 Bruno Eckhardt , Imre Varga , Peter Pollner

Understanding the fluctuations of observables is one of the main goals in science, be it theoretical or experimental, quantum or classical. We investigate such fluctuations when only a subregion of the full system can be observed, focusing…

Strongly Correlated Electrons · Physics 2022-02-02 Benoit Estienne , Jean-Marie Stéphan , William Witczak-Krempa

We establish the general framework of quantum fluctuation theorems by finding the symmetry between the forward and backward transitions of any given quantum channel. The Petz recovery map is adopted as the reverse quantum channel, and the…

Quantum Physics · Physics 2019-08-23 Hyukjoon Kwon , M. S. Kim

In order to account for possible nonstatistical fluctuations in a hadronizing system (leading to the characteristic power-like behavior of the respective single particle spectra and to the broadening of the corresponding multiparticle…

High Energy Physics - Phenomenology · Physics 2012-02-21 Grzegorz Wilk , Zbigniew Wlodarczyk

We consider the scenario of a fluctuating spacetime due to a deformed commutation relation with a fluctuating deformation parameter, or to a fluctuating metric tensor. By computing the resulting dynamics and averaging over these…

Quantum Physics · Physics 2025-04-01 Sandro Donadi , Matteo Fadel

Quantum reference frames are expected to differ from classical reference frames because they have to implement typical quantum features such as fluctuations and correlations. Here, we show that fluctuations and correlations of reference…

Quantum Physics · Physics 2023-01-03 Martin Bojowald , Artur Tsobanjan

Fluctuation theorems have elevated the second law of thermodynamics to a statistical realm by establishing a connection between time-forward and time-reversal probabilities, providing invaluable insight into nonequilibrium dynamics. While…

Quantum Physics · Physics 2025-06-05 Hui Li , Jie Xie , Hyukjoon Kwon , Yixin Zhao , M. S. Kim , Lijian Zhang

Starting out from the recently established quantum correlation function expression of the characteristic function for the work performed by a force protocol on the system [cond-mat/0703213] the quantum version of the Crooks fluctuation…

Statistical Mechanics · Physics 2007-06-21 Peter Talkner , Peter Hanggi

Fluctuation dissipation theorems connect the linear response of a physical system to a perturbation to the steady-state correlation functions. Until now, most of these theorems have been derived for finite-dimensional systems. However, many…

Statistical Mechanics · Physics 2019-08-22 Mohammad Mehboudi , Juan. M. R. Parrondo , Antonio Acin

We analyze the size and evolution of quantum fluctuations of cosmologically relevant geometric observables, in the context of the effective relational cosmological dynamics of GFT models of quantum gravity. We consider the fluctuations of…

General Relativity and Quantum Cosmology · Physics 2021-09-23 Luca Marchetti , Daniele Oriti

In this paper, we extend the fluctuation theorems used for quantum channels to multitime processes. The fluctuation theorems for quantum channels are less restrictive. We show that the given entropy production can be equal to the result of…

Quantum Physics · Physics 2022-06-30 Zhiqiang Huang

Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines operating under steady or periodic driving, close or far from…

Statistical Mechanics · Physics 2014-11-26 Gatien Verley , Tim Willaert , Christian Van den Broeck , Massimiliano Esposito

When a quantum many-particle system exists on a randomly diluted lattice, its intrinsic thermal and quantum fluctuations coexist with geometric fluctuations due to percolation. In this paper, we explore how the interplay of these…

Statistical Mechanics · Physics 2017-08-23 Thomas Vojta , J. A. Hoyos

A wide variety of complex systems exhibit large fluctuations both in space and time that often can be attributed to the presence of some kind of critical phenomena. Under such critical scenario it is well known that the properties of the…

Disordered Systems and Neural Networks · Physics 2019-05-29 Dante R. Chialvo , Sergio A. Cannas , Dietmar Plenz , Tomas S. Grigera
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