Generalized Clausius inequality for nonequilibrium quantum processes

2010/05/25 by Sebastian Deffner, Eric Lutz · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevlett.105.170402

published as Phys. Rev. Lett. 105 (2010) 170402 · 4 pages, 2 figures

arxiv created 2010/05/25 · arxiv updated 2011/04/28

Abstract

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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