Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cam.2006.04.042
Title: A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
Authors: Wang, H. 
Keywords: Coupled Gross-Pitaevskii equations
Rotating two-component BECs
Time-splitting spectral method
Issue Date: 1-Aug-2007
Citation: Wang, H. (2007-08-01). A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates. Journal of Computational and Applied Mathematics 205 (1) : 88-104. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cam.2006.04.042
Abstract: We propose a time-splitting spectral method for the coupled Gross-Pitaevskii equations, which describe the dynamics of rotating two-component Bose-Einstein condensates at a very low temperature. The new numerical method is explicit, unconditionally stable, time reversible, time transverse invariant, and of spectral accuracy in space and second-order accuracy in time. Moreover, it conserves the position densities in the discretized level. Numerical applications on studying the generation of topological modes and the vortex lattice dynamics for the rotating two-component Bose-Einstein condensates are presented in detail. © 2006 Elsevier B.V. All rights reserved.
Source Title: Journal of Computational and Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102776
ISSN: 03770427
DOI: 10.1016/j.cam.2006.04.042
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