Generalized Clausius inequality for nonequilibrium quantum processes

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.105.170402

We show that the nonequilibrium entropy production for a driven quantum system is larger than the Bures length, the geometric distance between its actual state and the corresponding equilibrium state. This universal lower bound generalizes the Clausius inequality to arbitrary nonequilibrium processes beyond linear response. We further derive a fundamental upper bound for the quantum entropy production rate and discuss its connection to the Bremermann-Bekenstein bound.

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