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Hauptverfasser: Jiang, Chao, Shao, Lei
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2404.14081
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author Jiang, Chao
Shao, Lei
author_facet Jiang, Chao
Shao, Lei
contents We derive a time-dependent master equation for an externally driven system whose subsystems weakly interact with each other and locally connect to the thermal reservoirs. The nonadiabatic equation obtained here can be viewed as a generalization of the local master equation, which has already been extensively used in describing the dynamics of a boundary-driven system. In addition, we investigate the fundamental reason underlying the thermodynamic inconsistency generated by the local and nonadiabatic master equations. We fnd that these two equations are consistent with the second law of thermodynamics when the system is far away from the steady state, while they give rise to the contradiction at the steady state. Finally, we numerically confrm our results by considering a toy model consisting of two qubits and two local heat baths.
format Preprint
id arxiv_https___arxiv_org_abs_2404_14081
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction
Jiang, Chao
Shao, Lei
Quantum Physics
We derive a time-dependent master equation for an externally driven system whose subsystems weakly interact with each other and locally connect to the thermal reservoirs. The nonadiabatic equation obtained here can be viewed as a generalization of the local master equation, which has already been extensively used in describing the dynamics of a boundary-driven system. In addition, we investigate the fundamental reason underlying the thermodynamic inconsistency generated by the local and nonadiabatic master equations. We fnd that these two equations are consistent with the second law of thermodynamics when the system is far away from the steady state, while they give rise to the contradiction at the steady state. Finally, we numerically confrm our results by considering a toy model consisting of two qubits and two local heat baths.
title Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction
topic Quantum Physics
url https://arxiv.org/abs/2404.14081