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

K. J.H. Law, L. Qiao, P. G. Kevrekidis, I. G. Kevrekidis

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Abstract

We investigate the existence and especially the linear stability of single- and multiple-charge quantized vortex states of nonlinear Schrödinger 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.

Original languageEnglish (US)
Article number053612
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume77
Issue number5
DOIs
StatePublished - May 27 2008

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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