Dynamics of closed quantum systems under stochastic resetting

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.

An analysis of closed quantum system subject to arbitrary stochastic resetting process is carried out

References in corpus (2)

• First Passage Under Restart
• Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment

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• Optimal conditions for first passage of jump processes with resetting
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• Optimal detection of quantum states via projective measurements