Universal and nonuniversal probability laws in Markovian open quantum dynamics subject to generalized reset processes

Carollo, Federico; Lesanovsky, Igor; Garrahan, Juan P.

Abstract

We consider quantum-jump trajectories of Markovian open quantum systems subject to stochastic in time resets of their state to an initial configuration. The reset events provide a partitioning of quantum trajectories into consecutive time intervals, defining sequences of random variables from the values of a trajectory observable within each of the intervals. For observables related to functions of the quantum state, we show that the probability of certain orderings in the sequences obeys a universal law. This law does not depend on the chosen observable and, in the case of Poissonian reset processes, not even on the details of the dynamics. When considering (discrete) observables associated with the counting of quantum jumps, the probabilities in general lose their universal character. Universality is only recovered in cases when the probability of observing equal outcomes in the same sequence is vanishingly small, which we can achieve in a weak-reset-rate limit. Our results extend previous findings on classical stochastic processes [N. R. Smith et al., Europhys. Lett. 142, 51002 (2023)] to the quantum domain and to state-dependent reset processes, shedding light on relevant aspects for the emergence of universal probability laws.

Citation

Carollo, F., Lesanovsky, I., & Garrahan, J. P. (2024). Universal and nonuniversal probability laws in Markovian open quantum dynamics subject to generalized reset processes. Physical Review E, 109(4), Article 044129. https://doi.org/10.1103/physreve.109.044129

• Journal Article Type: Article
• Acceptance Date: Mar 12, 2024
• Online Publication Date: Apr 11, 2024
• Publication Date: 2024-04
• Deposit Date: Apr 16, 2024
• Publicly Available Date: Apr 17, 2024
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 109
• Issue: 4
• Article Number: 044129
• DOI: https://doi.org/10.1103/physreve.109.044129
• Keywords: Nonequilibrium statistical mechanics; Stochastic processes; Stochastic restart; Markovian processes; Monte Carlo methods
• Public URL: https://nottingham-repository.worktribe.com/output/33567318