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.

10 pages, 7 figures, comments are welcome

References in corpus (5)

• Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
• Statistical mechanics of Floquet systems with regular and chaotic states
• Improved Dyson series expansion for steady-state quantum transport beyond the weak coupling limit - divergences and resolution
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• Long time asymptotic state of periodically driven open quantum systems