Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting

TL;DR

This paper studies how stochastic resetting affects the dynamics and quantum-jump statistics of open quantum systems, revealing non-Markovian behavior and offering a way to control quantum trajectories.

Contribution

It introduces a generalized Lindblad equation for reset quantum systems and derives exact quantum-jump statistics using thermodynamic and renewal techniques.

Findings

Resetting induces non-Markovian dynamics.

Quantum-jump statistics can be exactly computed.

Resetting can tailor quantum trajectories and phases.

Abstract

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and has the form of a generalized Lindblad equation. Interestingly, the statistics of quantum-jumps can be exactly derived. This is achieved by combining techniques from the thermodynamics of quantum-jump trajectories with the renewal structure of the resetting dynamics. We consider as an application of our analysis a driven two-level and an intermittent three-level system. Our findings show that stochastic resetting may be exploited as a tool to tailor the statistics of the quantum-jump trajectories and the dynamical phases of open quantum systems.