Elliptic vortices in optical waveguides and self-attractive Bose-Einstein condensates

Fangwei Ye; Liangwei Dong; Boris A. Malomed; Dumitru Mihalache; Bambi Hu

doi:10.1364/JOSAB.27.000757

Elliptic vortices in optical waveguides and self-attractive Bose-Einstein condensates

Fangwei Ye^*, Liangwei Dong, Boris A. Malomed, Dumitru Mihalache, Bambi Hu

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	757-762
Number of pages	6
Journal	Journal of the Optical Society of America B: Optical Physics
Volume	27
Issue number	4
Early online date	26 Mar 2010
DOIs	https://doi.org/10.1364/JOSAB.27.000757
Publication status	Published - 1 Apr 2010

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abstract = "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.",

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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.

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Elliptic vortices in optical waveguides and self-attractive Bose-Einstein condensates

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