Many-body quantum boomerang effect

Jakub Janarek, Jakub Zakrzewski, and Dominique Delande
Phys. Rev. B 107, 094204 – Published 16 March 2023

Abstract

We study numerically the impact of many-body interactions on the quantum boomerang effect. We consider various cases: weakly interacting bosons, the Tonks-Girardeau gas, and strongly interacting bosons (which may be mapped onto weakly interacting fermions). Numerical simulations are performed using the time-evolving block decimation algorithm, a quasiexact method based on matrix product states. In the case of weakly interacting bosons, we find a partial destruction of the quantum boomerang effect, in agreement with the earlier mean-field study [J. Janarek et al., Phys. Rev. A 102, 013303 (2020)]. For the Tonks-Girardeau gas, we show the presence of the full quantum boomerang effect. For strongly interacting bosons, we observe a partial boomerang effect. We show that the destruction of the quantum boomerang effect is universal and does not depend on the details of the interaction between particles.

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  • Received 9 November 2022
  • Accepted 7 March 2023

DOI:https://doi.org/10.1103/PhysRevB.107.094204

©2023 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Jakub Janarek1,2,*, Jakub Zakrzewski2,3,†, and Dominique Delande1,‡

  • 1Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France
  • 2Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, Łojasiewicza 11, PL-30-348 Kraków, Poland
  • 3Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, PL-30-348 Kraków, Poland

  • *jakub.janarek@uj.edu.pl
  • jakub.zakrzewski@uj.edu.pl
  • dominique.delande@lkb.upmc.fr

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Issue

Vol. 107, Iss. 9 — 1 March 2023

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