Please use this identifier to cite or link to this item:
https://doi.org/10.1137/080739811
DC Field | Value | |
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dc.title | A generalized-laguerre-fourier-hermite pseudospectral method for computing the dynamics of rotating bose-einstein condensates | |
dc.contributor.author | Bao, W. | |
dc.contributor.author | Li, H. | |
dc.contributor.author | Shen, J. | |
dc.date.accessioned | 2014-10-28T02:28:15Z | |
dc.date.available | 2014-10-28T02:28:15Z | |
dc.date.issued | 2009 | |
dc.identifier.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. https://doi.org/10.1137/080739811 | |
dc.identifier.issn | 10648275 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/102660 | |
dc.description.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. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1137/080739811 | |
dc.source | Scopus | |
dc.subject | Angular momentum rotation | |
dc.subject | Condensate width | |
dc.subject | Energy | |
dc.subject | Generalized-Laguerre-Fourier-Hermite functions | |
dc.subject | Rotating Bose-Einstein condensate | |
dc.subject | Time-splitting | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1137/080739811 | |
dc.description.sourcetitle | SIAM Journal on Scientific Computing | |
dc.description.volume | 31 | |
dc.description.issue | 5 | |
dc.description.page | 3685-3711 | |
dc.description.coden | SJOCE | |
dc.identifier.isiut | 000271747300020 | |
Appears in Collections: | Staff Publications |
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