Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates

TL;DR

This paper explores the behavior of dark solitons in ring-trapped Bose-Einstein condensates with spin-orbit coupling, revealing their complex magnetization dynamics and potential for simulating spin-related geometric phases.

Contribution

It provides analytical predictions for soliton magnetization dynamics in spin-orbit coupled BECs, highlighting their precessional motion and conservation properties.

Findings

Solitons exhibit periodic density and magnetization dynamics.

Magnetization precesses with conserved magnitude.

Potential to simulate spin-related geometric phases.

Abstract

Ring-trapped Bose-Einstein condensates subject to spin-orbit coupling support localized dark soliton excitations that show periodic density dynamics in real space. In addition to the density feature, solitons also carry a localized pseudo-spin magnetization that exhibits a rich and tunable dynamics. Analytic results for Rashba-type spin-orbit coupling and spin-invariant interactions predict a conserved magnitude and precessional motion for the soliton magnetization that allows for the simulation of spin-related geometric phases recently seen in electronic transport measurements.