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Quantum boomerang effect in systems without time-reversal symmetry

Jakub Janarek1,2,*, Benoît Grémaud3,†, Jakub Zakrzewski2,4,‡, 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
  • 3Aix-Marseille Université, Université de Toulon, CNRS, CPT, Marseille, France
  • 4Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, Kraków, Poland

  • *jakub.janarek@uj.edu.pl
  • †benoit.gremaud@cpt.univ-mrs.fr
  • ‡jakub.zakrzewski@uj.edu.pl
  • §dominique.delande@lkb.upmc.fr

Phys. Rev. B 105, L180202 – Published 26 May, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L180202

Abstract

In an Anderson localized system, a quantum particle with a nonzero initial velocity returns, on average, to its origin. This recently discovered behavior is known as the quantum boomerang effect. Time-reversal invariance was initially thought to be a necessary condition for the existence of this phenomenon. We theoretically analyze the impact of the symmetry breaking on the phenomenon using a one-dimensional system with a spin-orbit coupling and show that the time-reversal invariance is not necessary for the boomerang effect to occur. We explain this behavior giving sufficient symmetry conditions for the boomerang effect to occur when time-reversal symmetry is broken.

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