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 journalArticlepeer-review

14 Scopus citations

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 languageEnglish
Pages (from-to)757-762
Number of pages6
JournalJournal of the Optical Society of America B: Optical Physics
Volume27
Issue number4
DOIs
StatePublished - 1 Apr 2010

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