Abstract By means of the multiple-scale expansion method, the coupled nonlinear Schr?dinger equations without an explicit external potential are obtained in two-dimensional geometry for a self-attractive Bose-Einstein condensate composed of different hyperfine states. The modulational instability of two-component condensate is investigated by using a simple technique. Based on the discussion about two typical cases, the explicit expression of the growth rate for a purely growing modulational instability and the optimum stable conditions are given and analysed analytically. The results show that the modulational instability of this two-dimensional system is quite different from that in a one-dimensional system.
Received: 11 October 2008
Revised: 05 March 2009
Accepted manuscript online:
(Entanglement and decoherence in Bose-Einstein condensates)
Fund: Project supported
by the National Natural Science Foundation of China (Grant No
10875098) and the Science Foundation of the Northwest Normal
University (Grant Nos NWNU-KJCXGC-03-17 and NWNU-KJCXGC-03-48).
Cite this article:
Li Sheng-Chang(栗生长) and Duan Wen-Shan(段文山) Modulational instability for a self-attractive two-component Bose--Einstein condensate 2009 Chin. Phys. B 18 4177
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