Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcp.2008.07.017
Title: A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates
Authors: Bao, W. 
Shen, J.
Keywords: Bose-Einstein condensate
Central vortex state
Generalized-Laguerre-Hermite functions
Normalized gradient flow
Symmetric state
Issue Date: 1-Dec-2008
Citation: Bao, W., Shen, J. (2008-12-01). A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. Journal of Computational Physics 227 (23) : 9778-9793. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcp.2008.07.017
Abstract: A generalized-Laguerre-Hermite pseudospectral method is proposed for computing symmetric and central vortex states in Bose-Einstein condensates (BECs) in three dimensions with cylindrical symmetry. The new method is based on the properly scaled generalized-Laguerre-Hermite functions and a normalized gradient flow. It enjoys three important advantages: (i) it reduces a three-dimensional (3D) problem with cylindrical symmetry into an effective two-dimensional (2D) problem; (ii) it solves the problem in the whole space instead of in a truncated artificial computational domain and (iii) it is spectrally accurate. Extensive numerical results for computing symmetric and central vortex states in BECs are presented for one-dimensional (1D) BEC, 2D BEC with radial symmetry and 3D BEC with cylindrical symmetry. © 2008 Elsevier Inc. All rights reserved.
Source Title: Journal of Computational Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/102661
ISSN: 00219991
DOI: 10.1016/j.jcp.2008.07.017
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