Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcp.2011.04.021
Title: An efficient numerical method for computing dynamics of spin F=2 Bose-Einstein condensates
Authors: Wang, H. 
Keywords: Gross-Pitaevskii equations
Numerical simulation
Quantized vortices
Spin F=2 BEC
Time-splitting Fourier pseudospectral method
Issue Date: 1-Jul-2011
Citation: Wang, H. (2011-07-01). An efficient numerical method for computing dynamics of spin F=2 Bose-Einstein condensates. Journal of Computational Physics 230 (15) : 6155-6168. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcp.2011.04.021
Abstract: In this paper, we extend the efficient time-splitting Fourier pseudospectral method to solve the generalized Gross-Pitaevskii (GP) equations, which model the dynamics of spin F= 2 Bose-Einstein condensates at extremely low temperature. Using the time-splitting technique, we split the generalized GP equations into one linear part and two nonlinear parts: the linear part is solved with the Fourier pseudospectral method; one of nonlinear parts is solved analytically while the other one is reformulated into a matrix formulation and solved by diagonalization. We show that the method keeps well the conservation laws related to generalized GP equations in 1D and 2D. We also show that the method is of second-order in time and spectrally accurate in space through a one-dimensional numerical test. We apply the method to investigate the dynamics of spin F= 2 Bose-Einstein condensates confined in a uniform/nonuniform magnetic field. © 2011 Elsevier Inc.
Source Title: Journal of Computational Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/102830
ISSN: 00219991
DOI: 10.1016/j.jcp.2011.04.021
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