CPTP extensions of quantum Brownian motion violate detailed balance at steady state, resulting in non-vanishing entropy production and non-equilibrium currents.
Dougherty, Model fokker-planck equation for a plasma and its solution, The Physics of Fluids 7, 1788 (1964)
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Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion
CPTP extensions of quantum Brownian motion violate detailed balance at steady state, resulting in non-vanishing entropy production and non-equilibrium currents.