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Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice
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Law, K. J. H., Qiao, L., Kevrekidis, P. and Kevrekidis, I. (2008) Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice. Physical Review A, Vol.77 (No.5). Article no. 053612 . doi:10.1103/PhysRevA.77.053612 ISSN 1050-2947.
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Official URL: http://dx.doi.org/10.1103/PhysRevA.77.053612
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review A | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1050-2947 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.77 | ||||
Number: | No.5 | ||||
Number of Pages: | 12 | ||||
Page Range: | Article no. 053612 | ||||
DOI: | 10.1103/PhysRevA.77.053612 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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