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Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production

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Manzano, Gonzalo and Horowitz, Jordan M and Rodríguez Parrondo, Juan Manuel (2018) Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production. Physical review X, 8 (3). ISSN 2160-3308

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Official URL: http://dx.doi.org/10.1103/PhysRevX.8.031037


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https://journals.aps.org/Publisher


Abstract

We analyze the production of entropy along nonequilibrium processes in quantum systems coupled to generic environments. First, we show that the entropy production due to final measurements and the loss of correlations obeys a fluctuation theorem in detailed and integral forms. Second, we discuss the decomposition of the entropy production into two positive contributions, adiabatic and nonadiabatic, based on the existence of invariant states of the local dynamics. Fluctuation theorems for both contributions hold only for evolutions verifying a specific condition of quantum origin. We illustrate our results with three relevant examples of quantum thermodynamic processes far from equilibrium.


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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. We thank Gili Bisker for comments. The authors acknowledge funding from Ministerio de Economía y Competitividad (MINECO) (Proyectos TerMic, FIS2014-52486-R and CONTRACT, FIS2017-83709-R). G. M. acknowledges support from FPI Grant No. BES-2012-054025. This work has been partially supported by COST Action MP1209 "Thermodynamics in the Quantum Regime."

Uncontrolled Keywords:Dynamical semigroups; Heat engines; Thermodynamics; Equivalent; Generators; Systems
Subjects:Sciences > Physics > Nuclear physics
ID Code:51666
Deposited On:03 Apr 2019 10:01
Last Modified:03 Apr 2019 10:19

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