Moving Matter-Wave Solitons in Spin–Orbit Coupled Bose–Einstein Condensates
Yu-E Li, Ju-Kui Xue**
Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070
Abstract ：We investigate the moving matter-wave solitons in spin–orbit coupled Bose–Einstein condensates (BECs) by a perturbation method. Starting with the one-dimensional Gross–Pitaevskii equations, we derive a new KdV-like equation to which an approximate solution is obtained by assuming weak Raman coupling and strong spin–orbit coupling. The derivation of the KdV-like equation may be useful to understand the properties of solitons excitation in spin–orbit coupled BECs. We find different types of moving solitons: dark–bright, bright–bright and dark–dark solitons. Interestingly, moving dark–dark soliton for attractive intra- and inter-species interactions is found, which depends on the Raman coupling. The amplitude and velocity of the moving solitons strongly depend on the Raman coupling and spin–orbit coupling.
收稿日期: 2016-07-24
出版日期: 2016-10-27
:
05.45.Yv
(Solitons)
03.75.Mn
(Multicomponent condensates; spinor condensates)
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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2016, Vol. 33 
