中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4177-4181.doi: 10.1088/1674-1056/18/10/017
栗生长, 段文山
Li Sheng-Chang(栗生长) and Duan Wen-Shan(段文山)†
摘要: 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.
中图分类号: (Solutions of wave equations: bound states)