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

Journal Article · Wed Jan 01 04:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.013602· OSTI ID:20634151

Louis, Pearl J. Y.; Kivshar, Yuri S ^[1]; Ostrovskaya, Elena A ^[1]; Savage, Craig M ^[2]

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1. Nonlinear Physics Group, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200 (Australia)
2. Department of Physics and Theoretical Physics, Australian National University, Canberra ACT 0200 (Australia)

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.

• OSTI ID: 20634151
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
BOUND STATE
ENERGY SPECTRA
MATTER
NONLINEAR PROBLEMS
OPTICS
PERIODICITY
POTENTIALS
QUANTUM MECHANICS
RADIATION PRESSURE
SOLITONS
STABILITY