Eur. Phys. J. D (2013) 67: 166
https://doi.org/10.1140/epjd/e2013-40130-6

Regular Article

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

¹ Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P.R. China
² Beijing Computational Science Research Center, Beijing 100084, P.R. China

^a e-mail: chenxing@iphy.ac.cn

Received: 8 March 2013
Received in final form: 24 May 2013
Published online: 1 August 2013

Abstract

We investigate the interacting two-component bosonic gases with spin-orbit coupling in one dimension. Through a gauge transformation, the effect of spin-orbit coupling is incorporated into a spin-dependent twisted boundary condition. We solve the spin-orbit coupled system analytically by the Bethe-ansatz method. Our result shows that the spin-orbit coupling can influence the eigenenergy in a periodical pattern. The interplay between interaction and spin-orbit coupling may induce the energy level crossings for the lowest energy spectrum, which leads to a transition from the ferromagnetic to antiferromagnetic state.