Symmetry-induced fluctuation relations in open quantum systems

Marcantoni, Stefano; Pérez-Espigares, Carlos; Garrahan, Juan P.

Abstract

We derive a general scheme to obtain quantum fluctuation relations for dynamical observables in open quantum systems. For concreteness, we consider Markovian nonunitary dynamics that is unraveled in terms of quantum jump trajectories and exploit techniques from the theory of large deviations like the tilted ensemble and the Doob transform. Our results here generalize to open quantum system fluctuation relations previously obtained for classical Markovian systems and add to the vast literature on fluctuation relations in the quantum domain, but without resorting to the standard two-point measurement scheme. We illustrate our findings with three examples to highlight and discuss the main features of our general result.

• Journal Article Type: Article
• Acceptance Date: Jun 10, 2021
• Online Publication Date: Jul 9, 2021
• Publication Date: Jul 1, 2021
• Deposit Date: Sep 1, 2021
• Publicly Available Date: Sep 1, 2021
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society (APS)
• Peer Reviewed: Peer Reviewed
• Volume: 104
• Issue: 1
• Article Number: 014108
• DOI: https://doi.org/10.1103/physreve.104.014108
• Public URL: https://nottingham-repository.worktribe.com/output/5788952
• Publisher URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.104.014108