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Stable matter-wave packets in a traveling lattice potential
Hai Wenhua * #,Li Zejun,Rong Shiguang
Department of physics, Hunan Normal University
*Correspondence author
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Funding: 国家自然科学基金,教育部博士点基金,国家重点学科“理论物理”（No.10875039,200805420002,）
Opened online: 4 March 2010
Accepted by: none
Citation: Hai Wenhua,Li Zejun,Rong Shiguang.Stable matter-wave packets in a traveling lattice potential[OL]. [ 4 March 2010] http://en.paper.edu.cn/en_releasepaper/content/40419
 
 
We consider a Bose-Einstein condensate (BEC) driven by a traveling lattice potential and derive an exact traveling-wave solution of the one-dimensional (1D) Gross-Pitaevskii equation (GPE), which satisfies a balance condition between the optical potential and interatomic interaction. The balance condition means the conservation of the total potential, and the exact solution contains some Bloch-like states and shows that the matter-wave has spatial profile in the form of sinusoid wave and propagates like a quasi-free particle with the lattice velocity.
Keywords:Bose-Einstein condensate;traveling lattice potential;exact matter-wave packet;balance condition;macroscopic-quantum critical behaviors;stability
 
 
 

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