Quantum Onsager relations

• URL: http://arxiv.org/abs/2403.12896v3
• Date: Wed, 29 May 2024 17:53:31 GMT
• Title: Quantum Onsager relations
• Authors: Mankei Tsang,
• Abstract summary: I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The results establish a remarkable connection between statistical mechanics and parameter estimation theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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