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arXiv · 2403.12896

Quantum Onsager relations

Mankei Tsang
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Abstract

Using quantum information geometry, I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The generalized equations hold for a flexible definition of the forces as well as a large class of statistical divergence measures and quantum-Fisher-information metrics beyond the conventional definition of entropy production. I also derive quantum Onsager-Casimir relations for the transport tensors by proposing a general concept of time reversal and detailed balance for open quantum systems. The results establish a remarkable connection between statistical mechanics and parameter estimation theory.

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Mankei Tsang. 2024-03-19. Quantum Onsager relations. https://doi.org/10.1088/2058-9565%2Fad8513

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