Kinetics and thermodynamics of a driven open quantum system

Abstract

Redfield theory provides a closed kinetic description of a quantum system in weak contact with a very dense reservoir. Landau-Zener theory does the same for a time-dependent driven system in contact with a sparse reservoir. Using a simple model, we analyze the validity of these two theories by comparing their predictions with exact numerical results. We show that despite their a priori different range of validity, these two descriptions can give rise to an identical quantum master equation. Both theories can be used for a nonequilibrium thermodynamic description which we show is consistent with exact thermodynamic identities evaluated in the full system-reservoir space. We emphasize the importance of properly accounting for the system-reservoir interaction energy and of operating in regimes where the reservoir can be considered as close to ideal.

arXiv comment10 pages, 7 figures, comments are welcome

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• Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
• Quantifying Information Extraction using Generalized Quantum Measurements
• Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
• Fluctuation theorem for irreversible entropy production in electrical conduction
• Inducing nontrivial qubit coherence through a controlled dispersive environment
• Periodically-driven quantum thermal machines from warming up to limit cycle