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Phys. Rev. A 67, 013602 (2003) [9 pages]

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

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Pearl J. Y. Louis1, Elena A. Ostrovskaya1,2, Craig M. Savage2, and Yuri S. Kivshar1
1Nonlinear Physics Group, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia
2Department of Physics and Theoretical Physics, Australian National University, Canberra ACT 0200, Australia

Received 29 August 2002; published 9 January 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.013602
DOI:
10.1103/PhysRevA.67.013602
PACS:
03.75.Lm
 
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