Dynamics of bright–bright solitons in Bose–Einstein condensate with Raman-induced one-dimensional spin–orbit coupling

Abstract

We investigate the dynamics of bright–bright solitons in one-dimensional two-component Bose–Einstein condensates with Raman-induced spin–orbit coupling, via the variational approximation and the numerical simulation of Gross–Pitaevskii equations. For the uniform system without trapping potential, we obtain two population balanced stationary solitons. By performing the linear stability analysis, we find a Goldstone eigenmode and an oscillation eigenmode around these stationary solitons. Moreover, we derive a general dynamical solution to describe the center-of-mass motion and spin evolution of the solitons under the action of spin–orbit coupling. The effects of a harmonic trap have also been discussed.