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Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons | | Pearl J.Y. Louis
; Elena A. Ostrovskaya
; Craig M. Savage
; Yuri S. Kivshar
; | | Date: |
27 Aug 2002 | | Subject: | Condensed Matter; Optics; Pattern Formation and Solitons | cond-mat nlin.PS physics.optics | | 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. | | Source: | arXiv, cond-mat/0208516 | | Services: | Forum | Review | PDF | Favorites | |
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