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

TL;DR

This paper extends the Berezinskii diagrammatic method to disordered spin systems with asymmetric scattering caused by spin-orbit coupling, and applies it to analyze the quantum boomerang effect, confirming results with numerical simulations.

Contribution

It introduces a novel extension of the Berezinskii technique to systems with broken time-reversal symmetry and applies it to quantum localization phenomena.

Findings

Theoretical description of the quantum boomerang effect in asymmetric spin systems.

Confirmation of theoretical predictions through numerical simulations.

Extension of diagrammatic techniques to new classes of disordered systems.

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.