https://doi.org/10.1140/epjs/s11734-023-00802-y
Regular Article
Nonequilibrium quantum stochastic thermodynamics for bosons and fermions
Instituto de Física, Universidade de São Paulo, Rua do Matão 1371, 05508-090, São Paulo, SP, Brazil
Received:
22
September
2022
Accepted:
24
February
2023
Published online:
5
April
2023
We use a canonical quantization procedure to obtain the quantum Fokker–Planck equation for a system of interacting particles, which can be either bosons or fermions. Based on this equation, we develop a quantum stochastic thermodynamics of equilibrium and nonequilibrium systems. The approach is applied to a system in contact with two reservoirs of heat and particles from which we determine the entropy production rate, as well as the heat and particle fluxes. When applied to noninteracting systems, we obtain the usual expression for the mean occupation number for bosons and for fermions.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.