Generalized Clausius Inequality for Nonequilibrium Quantum Processes

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https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.105.170402

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https://doi.org/10.1103/PhysRevLett.105.170402
 http://hdl.handle.net/11603/19390

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UMBC Physics Department
UMBC Joint Center for Earth Systems Technology (JCET)

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2010-10-19

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journal articles
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Sebastian Deffner and Eric Lutz, Generalized Clausius Inequality for Nonequilibrium Quantum Processes, Phys. Rev. Lett. 105, 17 (2010), DOI:https://doi.org/10.1103/PhysRevLett.105.170402

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© 2010 The American Physical Society

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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.