Exact solutions of the Gross-Pitaevskii equation for stable vortex modes in two-dimensional Bose-Einstein condensates

Lei Wu*, Lu Li, Jie Fang Zhang, Dumitru Mihalache, Boris A. Malomed, W. M. Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We construct exact solutions of the Gross-Pitaevskii equation for solitary vortices, and approximate ones for fundamental solitons, in two-dimensional models of Bose-Einstein condensates with a spatially modulated nonlinearity of either sign and a harmonic trapping potential. The number of vortex-soliton (VS) modes is determined by the discrete energy spectrum of a related linear Schrödinger equation. The VS families in the system with the attractive and repulsive nonlinearity are mutually complementary. Stable VSs with vorticity S≥2 and those corresponding to higher-order radial states are reported, in the case of the attraction and repulsion, respectively.

Original languageEnglish
Article number061805
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume81
Issue number6
DOIs
StatePublished - 28 Jun 2010

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