Many-body dynamical localization and thermalization

Christine Khripkov, Amichay Vardi, and Doron Cohen
Phys. Rev. A 101, 043603 – Published 2 April 2020

Abstract

We show that a quantum dynamical localization effect can be observed in a generic thermalization process of two weakly coupled chaotic subsystems. Specifically, our model consists of the minimal experimentally relevant subsystems that exhibit chaos, which are 3-site Bose-Hubbard units. Due to the high dimensionality of the composite 6-site system, the quantum localization effect is weak and cannot be resolved merely by the breakdown of quantum-to-classical correspondence. Instead, we adopt an intrinsic definition of localization as the memory of initial conditions, which is not related to the underlying classical dynamics. We discuss the dynamics in the chaotic sea, and in the vicinity of the mobility edge, beyond which ergodization is suppressed.

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  • Received 11 August 2019
  • Revised 5 March 2020
  • Accepted 5 March 2020

DOI:https://doi.org/10.1103/PhysRevA.101.043603

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Christine Khripkov1,2, Amichay Vardi1, and Doron Cohen2

  • 1Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
  • 2Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel

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Issue

Vol. 101, Iss. 4 — April 2020

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