TY - JOUR
T1 - Elliptic vortices in optical waveguides and self-attractive Bose-Einstein condensates
AU - Ye, Fangwei
AU - Dong, Liangwei
AU - Malomed, Boris A.
AU - Mihalache, Dumitru
AU - Hu, Bambi
PY - 2010/4/1
Y1 - 2010/4/1
N2 - We investigate vortex solitons in models representing "pancake- shaped" Bose-Einstein condensates (BECs) with attractive interatomic interactions and an anisotropic harmonic trapping potential, or polarizationpreserving waveguides, such as a photonic-crystal or radial-bandgap fiber with an elliptically deformed core. Elliptic-vortex states bifurcate from dipole modes. In spite of strongly asymmetric shapes, the elliptic vortices with topological charge 1 are stable in a wide region in their existence domain. The dependence of the stability region on the eccentricity of the elliptic trap is reported. Input circular wave functions with embedded vorticity slowly relax into stationary elliptic vortices, featuring persistent rotation in the course of the evolution. All higher-order vortices are unstable.
AB - We investigate vortex solitons in models representing "pancake- shaped" Bose-Einstein condensates (BECs) with attractive interatomic interactions and an anisotropic harmonic trapping potential, or polarizationpreserving waveguides, such as a photonic-crystal or radial-bandgap fiber with an elliptically deformed core. Elliptic-vortex states bifurcate from dipole modes. In spite of strongly asymmetric shapes, the elliptic vortices with topological charge 1 are stable in a wide region in their existence domain. The dependence of the stability region on the eccentricity of the elliptic trap is reported. Input circular wave functions with embedded vorticity slowly relax into stationary elliptic vortices, featuring persistent rotation in the course of the evolution. All higher-order vortices are unstable.
UR - http://www.scopus.com/inward/record.url?scp=77955677619&partnerID=8YFLogxK
U2 - 10.1364/JOSAB.27.000757
DO - 10.1364/JOSAB.27.000757
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AN - SCOPUS:77955677619
SN - 0740-3224
VL - 27
SP - 757
EP - 762
JO - Journal of the Optical Society of America B: Optical Physics
JF - Journal of the Optical Society of America B: Optical Physics
IS - 4
ER -