Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-10-25
Phys. Rev. A 82, 053606 (2010)
Physics
Condensed Matter
Quantum Gases
5 pages, 5 figures; v2: matches published version
Scientific paper
10.1103/PhysRevA.82.053606
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 \emph{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.
Delgado Vicente
Malomed Boris A.
Mateo Muñoz A.
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