Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6933451 | Journal of Computational Physics | 2013 | 15 Pages |
Abstract
We present an efficient numerical algorithm to observe the dynamical formation of vortex lattice of a rotating trapped Bose-Einstein condensate (BEC) via solving a two-dimensional Gross-Pitaevskii equation (GPE). We use a radial basis function collocation method (RBFCM) to discretize a two-dimensional coupled nonlinear Schrödinger equation (CNLSE) derived from the GPE. A two-parameter continuation algorithm is implemented here to trace the solution curve of the CNLSE. The numerical experiments show promise of the proposed method to observe a variety of vortices of a rotating BEC in optical lattices, and depict the densities of superfluid and the solution curves as a function of chemical potential and the rotation frequency for various vortex structures. This algorithm provides an efficient method for observing complicated convex structures and dynamical phenomena of vortices in rotating BEC when comparing with those existing numerical methods in the literature.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Yin-Tzer Shih, Chih-Ching Tsai,