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

Autor: Haitao Quan, Jin-Fu Chen, Tian Qiu
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Entropy
Entropy; Volume 23; Issue 12; Pages: 1602
Entropy, Vol 23, Iss 1602, p 1602 (2021)
ISSN: 1099-4300
Popis: Quantum Brownian motion, described by the Caldeira-Leggett model, brings insights to understand 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 complete thermalization of the system. Our research brings justification for the definition of the quantum fluctuating heat via two-point measurements.
Comment: 32 pages, 2 figures
Databáze: OpenAIRE
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