English

Berezinskii approach to disordered spin systems with asymmetric scattering and application to the quantum boomerang effect

Disordered Systems and Neural Networks 2024-09-20 v1

Abstract

We extend the Berezinskii diagrammatic technique to one-dimensional disordered spin systems, in which time-reversal invariance is broken due to a spin-orbit coupling term inducing left-right asymmetric scattering. We then use this formalism to theoretically describe the dynamics of the quantum boomerang effect, a recently discovered manifestation of Anderson localization. The theoretical results are confirmed by exact numerical simulations of wave-packet dynamics in a random potential.

Keywords

Cite

@article{arxiv.2307.15354,
  title  = {Berezinskii approach to disordered spin systems with asymmetric scattering and application to the quantum boomerang effect},
  author = {Jakub Janarek and Nicolas Cherroret and Dominique Delande},
  journal= {arXiv preprint arXiv:2307.15354},
  year   = {2024}
}