Three-dimensional gap solitons in Bose-Einstein condensates supported by one-dimensional optical lattices

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.053606· OSTI ID:21528686

Munoz Mateo, A; Delgado, V ^[1]; Malomed, Boris A ^[2]

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1. Departamento de Fisica Fundamental II, Universidad de La Laguna, E-38206 La Laguna, Tenerife (Spain)
2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv IL-69978 (Israel)

We study fundamental and compound gap solitons (GSs) of matter waves in one-dimensional (1D) optical lattices (OLs) in a three-dimensional (3D) weak-radial-confinement regime, which corresponds to realistic experimental conditions in Bose-Einstein condensates (BECs). In this regime GSs exhibit nontrivial radial structures. Associated with each 3D linear spectral band exists a family of fundamental gap solitons that share a similar transverse structure with the Bloch waves of the corresponding linear band. GSs with embedded vorticity m may exist inside bands corresponding to other values of m. Stable GSs, both fundamental and compound ones (including vortex solitons), are those which originate from the bands with lowest axial and radial quantum numbers. These findings suggest a scenario for the experimental generation of robust GSs in 3D settings.

• OSTI ID: 21528686
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BLOCH THEORY
BOSE-EINSTEIN CONDENSATION
CONFINEMENT
CRYSTAL LATTICES
CRYSTAL STRUCTURE
ONE-DIMENSIONAL CALCULATIONS
QUANTUM NUMBERS
QUASI PARTICLES
SOLITONS
THREE-DIMENSIONAL CALCULATIONS
VORTICES