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

Louis, P J Y; Savage, Craig; Ostrovskaya, Elena; Kivshar, Yuri


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...[Show more]

CollectionsANU Research Publications
Date published: 2003-01-09
Type: Journal article
Source: Physical Review A: Atomic, Molecular and Optical Physics
DOI: 10.1103/PhysRevA.67.013602


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