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Title: A generalized-laguerre-fourier-hermite pseudospectral method for computing the dynamics of rotating bose-einstein condensates
Authors: Bao, W. 
Li, H.
Shen, J.
Keywords: Angular momentum rotation
Condensate width
Generalized-Laguerre-Fourier-Hermite functions
Rotating Bose-Einstein condensate
Issue Date: 2009
Citation: Bao, W., Li, H., Shen, J. (2009). A generalized-laguerre-fourier-hermite pseudospectral method for computing the dynamics of rotating bose-einstein condensates. SIAM Journal on Scientific Computing 31 (5) : 3685-3711. ScholarBank@NUS Repository.
Abstract: A time-splitting generalized-Laguerre-Fourier-Hermite pseudospectral method is proposed for computing the dynamics of rotating Bose-Einstein condensates (BECs) in two and three dimensions. The new numerical method is based on the following: (i) the use of a timesplitting technique for decoupling the nonlinearity; (ii) the adoption of polar coordinates in two dimensions and cylindrical coordinates in three dimensions such that the angular rotation term becomes constant coefficient; and (iii) the construction of eigenfunctions for the linear operator by properly scaling the generalized-Laguerre, Fourier, and Hermite functions. The new method enjoys the following properties: (i) it is explicit, time reversible, and time transverse invariant; (ii) it conserves the position density and is spectrally accurate in space and second-order or fourth-order accurate in time; and (iii) it solves the problem in the original whole space instead of in a truncated artificial computational domain. The method is also extended to solve the coupled Gross-Pitaevskii equations for the dynamics of rotating two-component and spin-1 BECs. Extensive numerical results for the dynamics of BECs are reported to demonstrate the accuracy and efficiency of the new method for rotating BECs. © 2009 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Scientific Computing
ISSN: 10648275
DOI: 10.1137/080739811
Appears in Collections:Staff Publications

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