中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1189-1195.doi: 10.1088/1674-1056/17/4/007

• GENERAL • 上一篇    下一篇

Effect of interaction strength on gap solitons of Bose--Einstein condensates in optical lattices

杨如曙, 杨江河   

  1. Department of Electric Engineering, Hunan University of Arts and Science, Changde 415000, China
  • 收稿日期:2007-08-08 修回日期:2007-10-29 出版日期:2008-04-20 发布日期:2008-04-20

Effect of interaction strength on gap solitons of Bose--Einstein condensates in optical lattices

Yang Ru-Shu(杨如曙)† and Yang Jiang-He(杨江河)   

  1. Department of Electric Engineering, Hunan University of Arts and Science, Changde 415000, China
  • Received:2007-08-08 Revised:2007-10-29 Online:2008-04-20 Published:2008-04-20

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摘要： We have developed a systematic analytical approach to the study on the dynamic properties of the linear and the nonlinear excitations for quasi-one-dimensional Bose--Einstein condensate trapped in optical lattices. A novel linear dispersion relation and an algebraic soliton solution of the condensate are derived analytically under consideration of Bose--Einstein condensate with a periodic potential. By analysing the soliton solution, we find that the interatomic interaction strength has an important effect on soliton dynamic properties of Bose--Einstein condensate.

Abstract: We have developed a systematic analytical approach to the study on the dynamic properties of the linear and the nonlinear excitations for quasi-one-dimensional Bose--Einstein condensate trapped in optical lattices. A novel linear dispersion relation and an algebraic soliton solution of the condensate are derived analytically under consideration of Bose--Einstein condensate with a periodic potential. By analysing the soliton solution, we find that the interatomic interaction strength has an important effect on soliton dynamic properties of Bose--Einstein condensate.

Key words: Bose--Einstein condensates, solitons, optical lattices

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
05.45.Yv (Solitons)