中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4177-4181.doi: 10.1088/1674-1056/18/10/017

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Modulational instability for a self-attractive two-component Bose--Einstein condensate

栗生长, 段文山   

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2008-10-11 修回日期:2009-03-05 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    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).

Modulational instability for a self-attractive two-component Bose--Einstein condensate

Li Sheng-Chang(栗生长) and Duan Wen-Shan(段文山)†   

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
  • Received:2008-10-11 Revised:2009-03-05 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    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).

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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.

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.

Key words: modulational instability, Bose-Einstein condensate, multiple-scale expansion method

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.75.Gg (Entanglement and decoherence in Bose-Einstein condensates)