Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Statistical Physics far from Thermal Equilibrium

DY 8.13: Vortrag

Montag, 20. März 2017, 18:15–18:30, ZEU 118

The third law for finite non-equilibrium resources — •Henrik Wilming and Rodrigo Gallego — Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

The third law in the form of the unattainability principle states that exact ground-state cooling requires infinite resources. Here we investigate the amount of resources needed for approximate cooling. We consider as resource any system out of equilibrium, allowing for resources beyond the i.i.d. assumption and including the input of work as a particular case. We establish sufficient conditions for cooling in full generality and show that for a vast class of non-equilibrium resources sufficient and necessary conditions for low-temperature cooling can be expressed in terms of a single function. This function plays a similar role for the third law to the one of the free energy for the second law. From a technical point of view we provide new results about concavity/convexity of certain Renyi-divergences, which might be of independent interest.