A unified thermodynamic analysis of nonsecular master equations shows consistent second-law compliance via microscopic entropy production, with transient differences from Spohn inequality and no cyclic work extractable from non-Gibbs steady states under a single bath.
The Second Law of Steady State Thermodynamics for Nonequilibrium Quantum Dynamics
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abstract
The second law of ordinary thermodynamics and the second law of steady state thermodynamics, as proposed by Oono and Paniconi, are investigated from the microscopic point of view for the open quantum system. Based on the H-theorem of Lindblad, we show that both second laws are consistent with the quantum dynamics generated by the completely positive map. In addition, microscopic expressions of entropy production and ``housekeeping heat'' are obtained for some classes of dynamical quantum systems.
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A refined thermodynamic analysis of nonsecular master equations
A unified thermodynamic analysis of nonsecular master equations shows consistent second-law compliance via microscopic entropy production, with transient differences from Spohn inequality and no cyclic work extractable from non-Gibbs steady states under a single bath.