Heat currents in qubit systems

Fuente: arXiv
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Autore principale: Fogedby, Hans C.
Natura: Preprint
Pubblicazione: 2023
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author Fogedby, Hans C.
author_facet Fogedby, Hans C.
contents There is a current interest in quantum thermodynamics in the context of open quantum systems. An important issue is the consistency of quantum thermodynamics, in particular the second law of thermodynamics, i.e., the flow of heat from a hot reservoir to a cold reservoir. Here recent emphasis has been on composite system and in particular the issue regarding the application of local or global master equations. In order to contribute to this discussion we discuss two cases, namely as an example a single qubit and as a simple composite system two coupled qubits driven by two heat reservoirs at different temperatures, respectively. Applying a global Lindblad master equation approach we present explicit expressions for the heat currents in agreement with the second law of thermodynamics. The analysis is carried out in the Born-Markov approximation. We also discuss issues regarding the possible presence of coherences in the steady state.
format Preprint
id arxiv_https___arxiv_org_abs_2301_13544
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Heat currents in qubit systems
Fogedby, Hans C.
Quantum Physics
Statistical Mechanics
There is a current interest in quantum thermodynamics in the context of open quantum systems. An important issue is the consistency of quantum thermodynamics, in particular the second law of thermodynamics, i.e., the flow of heat from a hot reservoir to a cold reservoir. Here recent emphasis has been on composite system and in particular the issue regarding the application of local or global master equations. In order to contribute to this discussion we discuss two cases, namely as an example a single qubit and as a simple composite system two coupled qubits driven by two heat reservoirs at different temperatures, respectively. Applying a global Lindblad master equation approach we present explicit expressions for the heat currents in agreement with the second law of thermodynamics. The analysis is carried out in the Born-Markov approximation. We also discuss issues regarding the possible presence of coherences in the steady state.
title Heat currents in qubit systems
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2301.13544