Dynamics of closed quantum systems under stochastic resetting

TL;DR

This paper investigates how stochastic resetting influences the dynamics of closed quantum systems, providing a general framework and analyzing effects on quantum coherence, evolution speed, and open-system behavior.

Contribution

It introduces a comprehensive formulation for the density operator under stochastic resetting in closed quantum systems, applicable to arbitrary resetting distributions.

Findings

Resetting can accelerate the evolution toward orthogonal states.

The framework applies to both closed and open quantum systems.

Specific examples illustrate the impact of different resetting distributions.

Abstract

We consider a closed quantum system subject to a stochastic resetting process. The generic expression for the resulting density operator is formulated for arbitrary resetting dynamics, fully characterised by the distribution of times between consecutive reset events. We analyse the behaviour of the state in the long-time regime, as well as the evolution of relevant quantities in the study of quantum coherence and closed- vs open-system dynamics. Our general results are complemented with examples involving paradigmatic resetting distributions, and special attention is paid to the two-level (qubit) system, in which we elucidate the effects of the renewal process on the speed of evolution toward an orthogonal state, and gain insight into the resetting applied to open systems.