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arXiv:cond-mat/0208516 · Physical Review A

Bose-Einstein condensates in optical lattices: Band-gap structure and solitons

Pearl J. Y. Louis, Elena A. Ostrovskaya, Craig M. Savage, Yuri S. Kivshar

Published Jan 9, 2003• 269 citations
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Abstract

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.

DOI
10.1103/physreva.67.013602

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