Phys. Rev. Lett. 96, 040401 (2006) [4 pages]Self-Trapped Nonlinear Matter Waves in Periodic PotentialsReceived 19 August 2005; published 30 January 2006 We demonstrate that the recent observation of nonlinear self-trapping of matter waves in one-dimensional optical lattices [ Th. Anker et al. Phys. Rev. Lett. 94 020403 (2005)] can be associated with a novel type of broad nonlinear state existing in the gaps of the matter-wave band-gap spectrum. We find these self-trapped localized modes in one-, two-, and three-dimensional periodic potentials, and demonstrate that such novel gap states can be generated experimentally in any dimension. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.040401
DOI:
10.1103/PhysRevLett.96.040401
PACS:
03.75.Lm, 05.45.Yv
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