Ferromagnetic to antiferromagnetic transition of one-dimensional spinor Bose gases with spin-orbit coupling

TL;DR

This paper analytically investigates how spin-orbit coupling affects the magnetic phases of one-dimensional two-component bosonic gases, revealing a transition from ferromagnetic to antiferromagnetic states due to energy level crossings.

Contribution

It provides an exact Bethe-ansatz solution incorporating spin-orbit coupling effects via a gauge transformation, revealing the influence on eigenenergies and magnetic phase transitions.

Findings

Spin-orbit coupling causes periodic energy variations.

Energy level crossing induces magnetic phase transition.

Transition from ferromagnetic to antiferromagnetic state observed.

Abstract

We have analytically solved one-dimensional interacting two-component bosonic gases with spin-orbit (SO) coupling by the Bethe-ansatz method. Through a gauge transformation, the effect of SO coupling is incorporated into a spin-dependent twisted boundary condition. Our result shows that the SO coupling can influence the eigenenergy in a periodical pattern. The interplay between interaction and SO coupling may induce the energy level crossing for the ground state, which leads to a transition from the ferromagnetic to antiferromagnetic state.