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Title: Self-Trapped Nonlinear Matter Waves in Periodic Potentials

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.

Authors:
; ;  [1]
  1. 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)
Publication Date:
OSTI Identifier:
20776998
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevLett.96.040401; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; FOCUSING; MATTER; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PERIODICITY; POTENTIALS; THREE-DIMENSIONAL CALCULATIONS; TRAPPING

Citation Formats

Alexander, Tristram J., Ostrovskaya, Elena A., and Kivshar, Yuri S. Self-Trapped Nonlinear Matter Waves in Periodic Potentials. United States: N. p., 2006. Web. doi:10.1103/PhysRevLett.96.040401.
Alexander, Tristram J., Ostrovskaya, Elena A., & Kivshar, Yuri S. Self-Trapped Nonlinear Matter Waves in Periodic Potentials. United States. doi:10.1103/PhysRevLett.96.040401.
Alexander, Tristram J., Ostrovskaya, Elena A., and Kivshar, Yuri S. Fri . "Self-Trapped Nonlinear Matter Waves in Periodic Potentials". United States. doi:10.1103/PhysRevLett.96.040401.
@article{osti_20776998,
title = {Self-Trapped Nonlinear Matter Waves in Periodic Potentials},
author = {Alexander, Tristram J. and Ostrovskaya, Elena A. and Kivshar, Yuri S.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.96.040401},
journal = {Physical Review Letters},
number = 4,
volume = 96,
place = {United States},
year = {Fri Feb 03 00:00:00 EST 2006},
month = {Fri Feb 03 00:00:00 EST 2006}
}