CPTP extensions of quantum Brownian motion violate detailed balance at steady state, resulting in non-vanishing entropy production and non-equilibrium currents.
Van den Broeck, Stochastic thermodynamics: A brief introduction, in Physics of Complex Colloids (IOS Press,
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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.