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Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Statistical Physics far from Thermal Equilibrium

DY 17.7: Vortrag

Dienstag, 8. März 2016, 11:45–12:00, H48

Work and Entropy Production in Generalized Gibbs EnsemblesMartí Perarnau-Llobet1, Arnau Riera1, Rodrigo Gallego2, •Henrik Wilming2, and Jens Eisert21ICFO-Institut de Ciencies Fotoniques, 08860 Castelldefels, Barcelona, Spain — 2Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

Thermodynamics can be put into contact with quantum mechanics by assuming that systems at thermal equilibrium can be effectively described by the Gibbs ensemble.

Here, we consider thermodynamic protocols in situations where the systems in question cannot be described accurately by a Gibbs ensemble -- either because they are strongly coupled to a heat bath or because conserved quantities require the use of an effective description by a so-called Generalized Gibbs ensemble (GGE) to describe their equilibrium state after a quench, as, for example, in the case of localized systems.

In particular we study the validity of the "minimum work principle" and entropy production in optimal work-extraction protocols -- both analytically and numerically. Our findings show that the minimum-work principle can break down in the presence of a large number of conserved quantities, while we can show that it remains intact if system and bath together can be well described by a Gibbs ensemble, even in the strongly interacting regime. Since we consider large but finite baths, our results can also be understood as corrections to the usual assumption of ideal infinite heat baths, which do not degrade when used in thermodynamic protocols.

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