Self-Trapped Nonlinear Matter Waves in Periodic Potentials

Tristram J. Alexander, Elena A. Ostrovskaya, and Yuri S. Kivshar
Phys. Rev. Lett. 96, 040401 – Published 30 January 2006

Abstract

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.

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  • Received 19 August 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.040401

©2006 American Physical Society

Authors & Affiliations

Tristram J. Alexander, Elena A. Ostrovskaya, and Yuri S. Kivshar

  • Nonlinear Physics Centre and ARC Centre of Excellence for Quantum-Atom Optics, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia

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Issue

Vol. 96, Iss. 4 — 3 February 2006

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