Dynamics of the mean-field-interacting quantum kicked rotor

Samuel Lellouch, Adam Rançon, Stephan De Bièvre, Dominique Delande, and Jean Claude Garreau
Phys. Rev. A 101, 043624 – Published 29 April 2020

Abstract

We study the dynamics of the many-body atomic kicked rotor with interactions at the mean-field level, governed by the Gross-Pitaevskii equation. We show that dynamical localization is destroyed by the interaction and replaced by a subdiffusive behavior. In contrast to results previously obtained from a simplified version of the Gross-Pitaevskii equation, the subdiffusive exponent does not appear to be universal. By studying the phase of the mean-field wave function, we propose an alternative approximation that describes correctly the dynamics at experimentally relevant times close to the start of subdiffusion, while preserving the reduced computational cost of the former approximation.

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  • Received 24 January 2020
  • Accepted 1 April 2020

DOI:https://doi.org/10.1103/PhysRevA.101.043624

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Samuel Lellouch1, Adam Rançon1, Stephan De Bièvre2, Dominique Delande3, and Jean Claude Garreau1

  • 1Univ. Lille, CNRS, UMR 8523, PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France
  • 2Univ. Lille, CNRS, UMR 8524, Inria - Laboratoire Paul Painlevé, F-59000 Lille, France
  • 3Laboratoire Kastler Brossel, UPMC-Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France

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Issue

Vol. 101, Iss. 4 — April 2020

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