Many-body effects on the thermodynamics of closed quantum systems

Abstract

Thermodynamics of quantum systems out-of-equilibrium is very important for the progress of quantum technologies, however, the effects of many body interactions and their interplay with temperature, different drives and dynamical regimes is still largely unknown. Here we present a systematic study of these interplays: we consider a variety of interaction (from non-interacting to strongly correlated) and dynamical (from sudden quench to quasi-adiabatic) regimes, and draw some general conclusions in relation to work extraction and entropy production. As treatment of many-body interacting systems is highly challenging, we introduce a simple approximation which includes, for the average quantum work, many-body interactions only via the initial state, while the dynamics is fully non-interacting. We demonstrate that this simple approximation is surprisingly good for estimating both the average quantum work and the related entropy variation, even when many-body correlations are significant.

arXiv comment17 pages, 11 figures

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• Easy access to energy fluctuations in non-equilibrium quantum many-body systems
• Three qubits in less than three baths: Beyond two-body system-bath interactions in quantum refrigerators
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Work statistics and Entanglement across the fermionic superfluid-insulator transition
• Approximating quantum thermodynamic properties using DFT
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• Quantum transient heat transport in the hyper-parametric oscillator
• Tracking Adiabaticity in Non-Equilibrium Many-Body Systems: The Hard Case of the X-ray Photoemission in Metals