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Fluctuation theorem is derived for a quantum current system around a nonequilibrium steady state. It is demonstrated that the fluctuation theorem can be a part of the generalized Green-Kubo formula or a nonlinear response theory of an…

Statistical Mechanics · Physics 2011-03-30 Hisao Hayakawa

Fluctuation theorems have a very special place in the study of non equilibrium dynamics of physical systems. The form in which it is used most extensively is the Gallavoti-Cohen Fluctuation Theorem which is in terms of the distribution of…

Classical Physics · Physics 2015-12-01 G. S. Agarwal , Sushanta Dattagupta

I present the Floquet scattering matrix theory of low-frequency heat fluctuations in driven multi-terminal quantum-coherent conductors in the linear response regime and beyond. The intrinsic fluctuations of energy of dynamically excited…

Mesoscale and Nanoscale Physics · Physics 2014-05-29 Michael Moskalets

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…

Quantum Physics · Physics 2014-12-11 S. Gasparinetti , P. Solinas , A. Braggio , M. Sassetti

We present a fluctuation theorem for quantum bipartite systems in which the subsystems exchange information with each other. Our information fluctuation theorem includes correlations by introducing a quantum mechanical mutual information…

Quantum Physics · Physics 2020-06-24 Jung Jun Park , Sang Wook Kim , Vlatko Vedral

We derive an extended fluctuation theorem for a geometric pumping in a spin-boson system under a periodic control of environmental temperatures by using a Markovian quantum master equation. We perform the Monte-Carlo simulation and obtain…

Statistical Mechanics · Physics 2017-08-16 Kota L. Watanabe , Hisao Hayakawa

We present a short derivation and discussion of the master equation for an open quantum system weakly coupled to a heat bath and then its generalization to the case of with periodic external driving based on the Floquet theory. Further, a…

Quantum Physics · Physics 2012-05-22 Robert Alicki , David Gelbwaser-Klimovsky , Gershon Kurizki

A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation i.e. a quantum master equation (QME).…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Shaul Mukamel

The standard approach to deriving fluctuation theorems fails to capture the effect of quantum correlation and coherence in the initial state of the system. Here we overcome this difficulty and derive heat exchange fluctuation theorem in the…

Quantum Physics · Physics 2020-09-30 Amikam Levy , Matteo Lostaglio

We derive detailed and integral quantum fluctuation theorems for heat exchange in a quantum correlated bipartite thermal system using the framework of dynamic Bayesian networks. Contrary to the usual two-projective-measurement scheme that…

Quantum Physics · Physics 2020-03-11 Kaonan Micadei , Gabriel T. Landi , Eric Lutz

For thermostatted dissipative systems the Fluctuation Theorem gives an analytical expression for the ratio of probabilities that the time averaged entropy production in a finite system observed for a finite time, takes on a specified value…

Statistical Mechanics · Physics 2009-10-31 Denis J. Evans , Debra J. Searles , Emil Mittag

The statistics of heat exchange between two classical or quantum finite systems initially prepared at different temperatures are shown to obey a fluctuation theorem.

Statistical Mechanics · Physics 2009-11-10 Christopher Jarzynski , Daniel K. Wojcik

The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics. In such a context all non-trivial ergodic theory issues are by-passed, and the theorem takes a particularly simple form. As a particular…

Statistical Mechanics · Physics 2009-10-30 Jorge Kurchan

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…

Quantum Physics · Physics 2022-06-29 Gabriele De Chiara , Alberto Imparato

The Gallavotti-Cohen fluctuation theorem suggests a general symmetry in the fluctuations of the entropy production, a basic concept in the theory of irreversible processes, based on results in the theory of strongly chaotic maps. We study…

Statistical Mechanics · Physics 2015-05-26 Christian Maes , Frank Redig , Michel Verschuere

We examine the fluctuation theorems which traditionally have been studied for classical systems and enquire if they can be extended to the quantum domain, especially at low temperatures. The example chosen is that of a problem which has…

Quantum Physics · Physics 2016-06-29 G. S. Agarwal , S. Dattagupta

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

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

We consider heat fluctuations and fluctuation theorems for systems driven by multiple reservoirs. We establish a fundamental symmetry obeyed by the joint probability distribution for the heat transfers and system coordinates. The symmetry…

Statistical Mechanics · Physics 2014-10-03 Hans C. Fogedby , Alberto Imparato

We prove the Gallavotti-Cohen fluctuation theorem for a model of heat conduction through a chain of anharmonic oscillators coupled to two Hamiltonian reservoirs at different temperatures.

Mathematical Physics · Physics 2015-06-26 Luc Rey-Bellet , Lawrence E. Thomas
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