Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons

Details Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons

2002-08-27

arxiv.org/abs/cond-mat/0208516v1

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevA.67.013602

We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.

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