An Efficient Spectral Method for Computing Dynamics of Rotating Two-Component Bose-Einstein Condensates via Coordinate Transformation
In this paper, we propose an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose-Einstein condensates (BECs) which is described by the coupled Gross-Pitaevskii equations (CGPEs) with an angular momentum rotation term and an external driving field. By introducing rotating Lagrangian coordinates, we eliminate the angular momentum rotation term from the CGPEs, which allows us to develop an efficient numerical method. Our method has spectral accuracy in all spatial dimensions and moreover it can be easily implemented in practice. To examine its performance, we compare our method with those reported in the literature. Numerical results show that to achieve the same accuracy, our method takes much shorter computing time. We also apply our method to study issues such as dynamics of vortex lattices and giant vortices in rotating two-component BECs. Furthermore, we generalize our method to solve the vector Gross-Pitaevskii equations (VGPEs) which is used to study rotating multi-component BECs.
J. Ming et al., "An Efficient Spectral Method for Computing Dynamics of Rotating Two-Component Bose-Einstein Condensates via Coordinate Transformation," Journal of Computational Physics, vol. 258, pp. 538-554, Elsevier, Feb 2014.
The definitive version is available at https://doi.org/10.1016/j.jcp.2013.10.044
Mathematics and Statistics
Center for High Performance Computing Research
Keywords and Phrases
Angular Momentum Rotation; Coupled/Vector Gross-Pitaevskii Equations; Rotating Lagrangian Coordinates; Rotating Two-Component BECs; Time-Splitting
International Standard Serial Number (ISSN)
Article - Journal
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