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

Pearl J. Y. Louis, Elena A. Ostrovskaya, Craig M. Savage, and Yuri S. Kivshar
Phys. Rev. A 67, 013602 – Published 9 January 2003
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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.

  • Received 29 August 2002

DOI:https://doi.org/10.1103/PhysRevA.67.013602

©2003 American Physical Society

Authors & Affiliations

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

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Vol. 67, Iss. 1 — January 2003

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