Universal approach to quantum thermodynamics in the strong coupling regime

Wenjie Dou, Maicol A. Ochoa, Abraham Nitzan, Joseph E. Subotnik

Research output: Contribution to journalArticlepeer-review


We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the full density matrix as a series in the powers of the modulation rate, from which the functional form of work, heat, and entropy rates can be obtained. Under slow driving, thermodynamic laws are established. The entropy production rate is positive and is found to be related to the excess work dissipated by friction, at least up to second order in the driving speed. As an example of the present methodology, we reproduce the results for the quantum thermodynamics of the driven resonance level model. We also emphasize that our formalism is quite general and allows for electron-electron interactions, which can give rise to exotic Kondo resonances appearing in thermodynamic quantities.

Original languageEnglish
Article number134306
JournalPhysical Review B
Issue number13
StatePublished - 15 Oct 2018


FundersFunder number
US National Science FoundationCHE1665291
National Science Foundation1665291
Air Force Office of Scientific ResearchFA9550-18-1-0497
Deutsche ForschungsgemeinschaftTH 820/11-1


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