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 behaviou...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 56; no. 3; pp. 34001 - 34020
Main Authors Sevilla, Francisco J, Valdés-Hernández, Andrea
Format Journal Article
LanguageEnglish
Published IOP Publishing 20.01.2023
Subjects
decoherence
fidelity
mean orthogonality time
mixing
non-equilibrium stationary state
non-unitary dynamics
stochastic resetting
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Summary: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- versus open-system dynamics. Our general results are complemented with examples involving particular 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.
Bibliography:JPhysA-118175.R2
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/acb29d