Quantum entropy production rate of quantum markov semigroups

Authors

  • J. R. Bolaños-Servín UAM-I

DOI:

https://doi.org/10.31349/SuplRevMexFis.6.011309

Keywords:

Quantum markov semigroups; entropy production; equilibrium; detailed balance; reversibility; circulant; G-circulant

Abstract

This paper explores various perspectives on Quantum Detailed Balance and the Entropy Production Rate within the framework of Quantum Markov Semigroups. Using the generators of these semigroups, formulated according to the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) theorem, and their respective adjoints, we identify two contrasting families of Quantum Markov Semigroups. The first family demonstrates a situation where the condition for Quantum Detailed Balance is violated, yet the entropy production rate is zero. In contrast, the second family reveals cases where the quantum entropy production rate aligns with an interpretation of Quantum Detailed Balance. These findings provide insights into the relationship between quantum detailed balance and entropy production rate in open systems.

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Published

2025-06-12

How to Cite

1.
Bolaños J. Quantum entropy production rate of quantum markov semigroups. Supl. Rev. Mex. Fis. [Internet]. 2025 Jun. 12 [cited 2025 Jul. 17];6(1):011309 1-6. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/7969

Issue

Vol. 6 No. 1 (2025): Suplemento de la Revista Mexicana de Física. Commemorating the 50th Anniversary of UAM: Applications of Information Theory in Natural Sciences

Section

13 50th Anniv. of UAM: Applications of Information Theory in Natural Sciences

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