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Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion

Quantum Brownian motion, described by the Caldeira–Leggett model, brings insights to the understanding of phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing the phase-space formulation approach, we study th...

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Autores principales: Chen, Jin-Fu, Qiu, Tian, Quan, Hai-Tao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700725/
https://www.ncbi.nlm.nih.gov/pubmed/34945908
http://dx.doi.org/10.3390/e23121602
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author Chen, Jin-Fu
Qiu, Tian
Quan, Hai-Tao
author_facet Chen, Jin-Fu
Qiu, Tian
Quan, Hai-Tao
author_sort Chen, Jin-Fu
collection PubMed
description Quantum Brownian motion, described by the Caldeira–Leggett model, brings insights to the understanding of phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing the phase-space formulation approach, we study the heat distribution of a relaxation process in the quantum Brownian motion model. The analytical result of the characteristic function of heat is obtained at any relaxation time with an arbitrary friction coefficient. By taking the classical limit, such a result approaches the heat distribution of the classical Brownian motion described by the Langevin equation, indicating the quantum–classical correspondence principle for heat distribution. We also demonstrate that the fluctuating heat at any relaxation time satisfies the exchange fluctuation theorem of heat and its long-time limit reflects the complete thermalization of the system. Our research study justifies the definition of the quantum fluctuating heat via two-point measurements.
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spelling pubmed-87007252021-12-24 Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion Chen, Jin-Fu Qiu, Tian Quan, Hai-Tao Entropy (Basel) Article Quantum Brownian motion, described by the Caldeira–Leggett model, brings insights to the understanding of phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing the phase-space formulation approach, we study the heat distribution of a relaxation process in the quantum Brownian motion model. The analytical result of the characteristic function of heat is obtained at any relaxation time with an arbitrary friction coefficient. By taking the classical limit, such a result approaches the heat distribution of the classical Brownian motion described by the Langevin equation, indicating the quantum–classical correspondence principle for heat distribution. We also demonstrate that the fluctuating heat at any relaxation time satisfies the exchange fluctuation theorem of heat and its long-time limit reflects the complete thermalization of the system. Our research study justifies the definition of the quantum fluctuating heat via two-point measurements. MDPI 2021-11-26 /pmc/articles/PMC8700725/ /pubmed/34945908 http://dx.doi.org/10.3390/e23121602 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Chen, Jin-Fu
Qiu, Tian
Quan, Hai-Tao
Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion
title Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion
title_full Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion
title_fullStr Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion
title_full_unstemmed Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion
title_short Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion
title_sort quantum–classical correspondence principle for heat distribution in quantum brownian motion
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700725/
https://www.ncbi.nlm.nih.gov/pubmed/34945908
http://dx.doi.org/10.3390/e23121602
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