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DTSTAMP:20231020T164629
UID:74095365-6f57-11ee-805b-000e0c3db68b
SUMMARY:Thermodynamic geometry for quantum thermal machines
DESCRIPTION:Thermodynamic geometry provides a physically transparent framework to describe non-equilibrium processes in meso- and micro-scale systems that are driven by slow variations of external control parameters. In this approach, figures of merit of thermodynamic cycles can be related to geometric quantities; for instance, the dissipation incurred by a given cycle can be expressed in terms of the length of the control path with respect to a system-dependent metric in the space of control parameters. It thus becomes possible to derive universal trade-off relations between power and efficiency of thermal machines and to explore how quantum effects alter their performance. \nIn this talk, I develop the thermodynamic geometry of ideal quantum gases that are coupled to a heat and matter reservoir. As an application of this theory, I will work out a minimal model of a quantum many-body heat engine, whose performance is enhanced by Bose-Einstein condensation as a genuine collective quantum effect. In the second part of this talk, I show how thermodynamic geometry can be used to derive a trade-off relation between the coefficient of performance (COP) and the cooling power of microscopic refrigerators. This derivation is based on a general scaling argument and leads to two main results. First, the COP may reach the Carnot bound only if heat-leaks between the cold and the hot reservoir can be fully suppressed. Second, the cooling power of the device close to the Carnot limit is determined by second-order terms in the applied temperature gradient, which are neglected in standard linear-response theory.
DTSTART:20231024T131500
LOCATION:Universität Stuttgart, Raum 4.331 (NWZ II), Pfaffenwaldring 57, Stuttgart-Vaihingen , , , , 
URL;VALUE=URI:https://www.itp1.uni-stuttgart.de/institute/news/events/Thermodynamic-geometry-for-quantum-thermal-machines/
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