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  • Letter

Almost complete revivals in quantum many-body systems

Igor Ermakov1,2,3,* and Boris V. Fine3,4,†

  • 1Skolkovo Institute of Science and Technology, Skolkovo Innovation Center 3, Moscow 143026, Russia
  • 2Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina Street, Moscow 119991, Russia
  • 3Laboratory for the Physics of Complex Quantum Systems, Moscow Institute of Physics and Technology, Institutsky per. 9, Dolgoprudny, Moscow Region 141700, Russia
  • 4Institute for Theoretical Physics, University of Leipzig, Brüderstrasse 16, 04103 Leipzig, Germany

  • *ermakov1054@yandex.ru
  • boris.fine@uni-leipzig.de

Phys. Rev. A 104, L050202 – Published 11 November, 2021

DOI: https://doi.org/10.1103/PhysRevA.104.L050202

Abstract

Revivals of initial nonequilibrium states is an ever-present concern for the theory of dynamic thermalization in many-body quantum systems. Here we consider a nonintegrable lattice of interacting spins 1/2 and show how to construct a quantum state such that a given spin 1/2 is maximally polarized initially and then exhibits an almost complete recovery of the initial polarization at a predetermined moment of time. An experimental observation of such revivals may be utilized to benchmark quantum simulators with a measurement of only one local observable. We further propose to utilize these revivals for a delayed disclosure of a secret.

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