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.
Received: 08 August 2007
Revised: 29 October 2007
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
Yang Ru-Shu(杨如曙) and Yang Jiang-He(杨江河) Effect of interaction strength on gap solitons of Bose--Einstein condensates in optical lattices 2008 Chin. Phys. B 17 1189
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