Spin-orbit coupled soliton in a random potential

TL;DR

This paper theoretically explores how spin-orbit coupling and synthetic magnetic fields influence the localization and delocalization of solitons in a Bose-Einstein condensate within a random potential, revealing the critical role of Zeeman coupling.

Contribution

It introduces a theoretical analysis of spin-orbit coupled soliton dynamics in a random potential, highlighting the impact of synthetic Zeeman coupling on localization phenomena.

Findings

Zeeman coupling can induce localization or delocalization of solitons.

The effects depend on the strength of spin-orbit coupling and random potential parameters.

The spin state and self-interaction energy are mutually related when spin rotation invariance is broken.

Abstract

We investigate theoretically the dynamics of a spin-orbit coupled soliton formed by a self- interacting Bose-Einstein condensate immersed in a random potential, in the presence of an artificial magnetic field. We find that due to the anomalous spin-dependent velocity, the synthetic Zeeman coupling can play a critical role in the soliton dynamics by causing its localization or delocalization, depending on the coupling strength and on the parameters of the random potential. The observed effects of the Zeeman coupling qualitatively depend on the type of self-interaction in the condensate since the spin state and the self-interaction energy of the condensate are mutually related if the invariance of the latter with respect to the spin rotation is lifted.