Interaction and multiscale mechanics

  • 제5권2호
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  • Pages.131-144
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  • 2012
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  • 1976-0426(pISSN)
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  • 2092-6200(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Radial basis function collocation method for a rotating Bose-Einstein condensation with vortex lattices

  • Shih, Y.T. (Department of Applied Mathematics, National Chung Hsing University) ;
  • Tsai, C.C. (Department of Applied Mathematics, National Chung Hsing University) ;
  • Chen, K.T. (Department of Applied Mathematics, National Chung Hsing University)
  • 투고 : 2011.11.30
  • 심사 : 2012.04.16
  • 발행 : 2012.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

We study a radial basis function collocation method (RBFCM) to discretize a coupled nonlinear Schr$\ddot{o}$dinger equation (CNLSE) that governs a two dimensional rotating Bose-Einstein condensate (BEC) with an angular momentum rotation term. We exploit a RBFCM-continuation method (RBFCM-CM) to trace the solution curve of the CNLSE. We compare the performance of the RBFCM-CM with the FEM-CM. We observe that the RBFCM-CM is very robust in a coarse grid for resolving the ground state solution with many vortices when the angular momentum rotation is close to the limit. Numerical results demonstrate the efficiency and accuracy of the RBFCM-CM for computing the superfluid density of the ground level of the BEC.

키워드

참고문헌

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피인용 문헌

  1. A two-parameter continuation algorithm using radial basis function collocation method for rotating Bose–Einstein condensates vol.252, 2013, https://doi.org/10.1016/j.jcp.2013.06.018