1302.6901 (Xing Chen et al.)

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

Xing Chen, Haiping Hu, Yuzhu Jiang, Shu Chen

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.

View original: http://arxiv.org/abs/1302.6901