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Phys. Rev. Lett. 90, 160407 (2003) [4 pages]

Matter-Wave Gap Solitons in Atomic Band-Gap Structures

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Elena A. Ostrovskaya1,2 and Yuri S. Kivshar1
1ARC Centre for Quantum-Atom Optics, Nonlinear Physics Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia
2Department of Physics and Theoretical Physics, The Australian National University, Canberra ACT 0200, Australia

Received 8 November 2002; published 24 April 2003

We demonstrate that a Bose-Einstein condensate in an optical lattice forms a reconfigurable matter-wave structure with a band-gap spectrum, which resembles a nonlinear photonic crystal for light waves. We study in detail the case of a two-dimensional square optical lattice and show that this atomic band-gap structure allows nonlinear localization of atomic Bloch waves in the form of two-dimensional matter-wave gap solitons.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.160407
DOI:
10.1103/PhysRevLett.90.160407
PACS:
03.75.Lm