Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir

Fuente: arXiv
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Autori principali: Moreira, Saulo V., Samuelsson, Peter, Potts, Patrick P.
Natura: Preprint
Pubblicazione: 2023
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author Moreira, Saulo V.
Samuelsson, Peter
Potts, Patrick P.
author_facet Moreira, Saulo V.
Samuelsson, Peter
Potts, Patrick P.
contents In nano-scale systems coupled to finite-size reservoirs, the reservoir temperature may fluctuate due to heat exchange between the system and the reservoirs. To date, a stochastic thermodynamic analysis of heat, work and entropy production in such systems is however missing. Here we fill this gap by analyzing a single-level quantum dot tunnel coupled to a finite-size electronic reservoir. The system dynamics is described by a Markovian master equation, depending on the fluctuating temperature of the reservoir. Based on a fluctuation theorem, we identify the appropriate entropy production that results in a thermodynamically consistent statistical description. We illustrate our results by analyzing the work production for a finite-size reservoir Szilard engine.
format Preprint
id arxiv_https___arxiv_org_abs_2307_06679
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir
Moreira, Saulo V.
Samuelsson, Peter
Potts, Patrick P.
Statistical Mechanics
Quantum Physics
In nano-scale systems coupled to finite-size reservoirs, the reservoir temperature may fluctuate due to heat exchange between the system and the reservoirs. To date, a stochastic thermodynamic analysis of heat, work and entropy production in such systems is however missing. Here we fill this gap by analyzing a single-level quantum dot tunnel coupled to a finite-size electronic reservoir. The system dynamics is described by a Markovian master equation, depending on the fluctuating temperature of the reservoir. Based on a fluctuation theorem, we identify the appropriate entropy production that results in a thermodynamically consistent statistical description. We illustrate our results by analyzing the work production for a finite-size reservoir Szilard engine.
title Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2307.06679