Elliptic vortices in self-attractive Bose-Einstein condensates

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

Elliptic vortices in self-attractive Bose-Einstein condensates

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

^*Corresponding author for this work

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We report solutions for vortex solitons in an anisotropic harmonic trapping potential in a "pancake-shaped" Bose-Einstein condensate with attractive inter-atomic interactions. Elliptic vortices featuring anisotropic patterns bifurcate from dipole states that exist in the linear limit. The elliptic vortices with topological charge S = 1, featuring strongly asymmetric shapes, may be stable in a wide region in their existence domain. The dependence of the stability region on the eccentricity of the elliptic trap is reported. All higher-order vortices, with S > 1, are unstable.

Original language	English
Title of host publication	Bose Einstein Condensates
Subtitle of host publication	Theory, Characteristics and Current Research
Publisher	Nova Science Publishers, Inc.
Pages	115-123
Number of pages	9
ISBN (Print)	9781617281143
State	Published - 2010

Cite this

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AU - Ye, Fangwei

AU - Malomed, Boris A.

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AU - Hu, Bambi

PY - 2010

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N2 - We report solutions for vortex solitons in an anisotropic harmonic trapping potential in a "pancake-shaped" Bose-Einstein condensate with attractive inter-atomic interactions. Elliptic vortices featuring anisotropic patterns bifurcate from dipole states that exist in the linear limit. The elliptic vortices with topological charge S = 1, featuring strongly asymmetric shapes, may be stable in a wide region in their existence domain. The dependence of the stability region on the eccentricity of the elliptic trap is reported. All higher-order vortices, with S > 1, are unstable.

AB - We report solutions for vortex solitons in an anisotropic harmonic trapping potential in a "pancake-shaped" Bose-Einstein condensate with attractive inter-atomic interactions. Elliptic vortices featuring anisotropic patterns bifurcate from dipole states that exist in the linear limit. The elliptic vortices with topological charge S = 1, featuring strongly asymmetric shapes, may be stable in a wide region in their existence domain. The dependence of the stability region on the eccentricity of the elliptic trap is reported. All higher-order vortices, with S > 1, are unstable.

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Elliptic vortices in self-attractive Bose-Einstein condensates

Abstract

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