Ergotropy-Based Quantum Thermodynamics

Fuente: arXiv
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Autores principales: Choquehuanca, J. M. Z., Obando, P. A. C., Sarandy, M. S., de Paula, F. M.
Formato: Preprint
Publicado: 2025
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author Choquehuanca, J. M. Z.
Obando, P. A. C.
Sarandy, M. S.
de Paula, F. M.
author_facet Choquehuanca, J. M. Z.
Obando, P. A. C.
Sarandy, M. S.
de Paula, F. M.
contents We introduce an ergotropy-based formulation of quantum thermodynamics, which provides a strong connection between average heat and von Neumann entropy. By adopting this formulation, we can reinterpret the infinitesimal average heat in terms of the infinitesimal change of the passive state associated with the density operator behind the quantum dynamics. Such as entropy, this leads to a heat concept that is invariant under passive state transformations. As an application, the average heat can be used as a general non-Markovianity measure for unital maps. Moreover, a positive-semidefinite temperature naturally emerges in an out-of-equilibrium ergotropy-based scenario. Concerning the infinitesimal average work, it arises as the infinitesimal variation of ergotropy, as well as an extra passive work contribution in the case of a time-dependent Hamiltonian. As illustrations, we consider the thermodynamics of a single-qubit open system in the cases of generalized amplitude-damping and phase-damping channels.
format Preprint
id arxiv_https___arxiv_org_abs_2504_07200
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ergotropy-Based Quantum Thermodynamics
Choquehuanca, J. M. Z.
Obando, P. A. C.
Sarandy, M. S.
de Paula, F. M.
Quantum Physics
We introduce an ergotropy-based formulation of quantum thermodynamics, which provides a strong connection between average heat and von Neumann entropy. By adopting this formulation, we can reinterpret the infinitesimal average heat in terms of the infinitesimal change of the passive state associated with the density operator behind the quantum dynamics. Such as entropy, this leads to a heat concept that is invariant under passive state transformations. As an application, the average heat can be used as a general non-Markovianity measure for unital maps. Moreover, a positive-semidefinite temperature naturally emerges in an out-of-equilibrium ergotropy-based scenario. Concerning the infinitesimal average work, it arises as the infinitesimal variation of ergotropy, as well as an extra passive work contribution in the case of a time-dependent Hamiltonian. As illustrations, we consider the thermodynamics of a single-qubit open system in the cases of generalized amplitude-damping and phase-damping channels.
title Ergotropy-Based Quantum Thermodynamics
topic Quantum Physics
url https://arxiv.org/abs/2504.07200