Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice

Publication Year
2008

Type

Journal Article
Abstract

We investigate the existence and especially the linear stability of single- and multiple-charge quantized vortex states of nonlinear Schrodinger equations in the presence of a periodic and a parabolic potential in two spatial dimensions. The study is motivated by an examination of pancake-shaped Bose-Einstein condensates in the presence of magnetic and optical confinement. A two-parameter space of the condensate's chemical potential versus the periodic potential's strength is scanned for both single- and double-quantized vortex states located at a local minimum or a local maximum of the lattice. Triple-charged vortices are also briefly discussed. Single-charged vortices are found to be stable for cosinusoidal potentials and unstable for sinusoidal ones above a critical strength. Higher-charge vortices are more unstable for both types of potentials, and their dynamical evolution leads to a breakup into single-charged vortices.

Keywords
Journal
Physical Review A
Volume
77
Issue
5
Pages
053612
Date Published
05/2008
ISBN
1050-2947
Short Title
Phys. Rev. A