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

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...

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Main Authors: Gonzalo Manzano, Jordan M. Horowitz, Juan M. R. Parrondo
Format: Article
Language:English
Published: American Physical Society 2018-08-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.8.031037
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author Gonzalo Manzano
Jordan M. Horowitz
Juan M. R. Parrondo
author_facet Gonzalo Manzano
Jordan M. Horowitz
Juan M. R. Parrondo
author_sort Gonzalo Manzano
collection DOAJ
description 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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spelling doaj.art-44cdf78ff0294959a6751ad23f54e5e82022-12-21T20:37:08ZengAmerican Physical SocietyPhysical Review X2160-33082018-08-018303103710.1103/PhysRevX.8.031037Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy ProductionGonzalo ManzanoJordan M. HorowitzJuan M. R. ParrondoWe 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.http://doi.org/10.1103/PhysRevX.8.031037
spellingShingle Gonzalo Manzano
Jordan M. Horowitz
Juan M. R. Parrondo
Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production
Physical Review X
title Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production
title_full Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production
title_fullStr Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production
title_full_unstemmed Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production
title_short Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production
title_sort quantum fluctuation theorems for arbitrary environments adiabatic and nonadiabatic entropy production
url http://doi.org/10.1103/PhysRevX.8.031037
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