Pseudo-Arclength Continuation Algorithms for Binary Rydberg-Dressed Bose-Einstein Condensates. (12th April 2016)

• Record Type: Journal Article
• Authors: Sriburadet, Sirilak; Wang, Y.-S.; Chien, C.-S.; Shih, Y.
• Is Part Of: Communications in computational physics. Volume 19:Number 4(2016:Apr.)
• Page Start: 1067
• Page End: 1093
• Publication Date: 2016-04-12
• Subjects: 65N35, -- 35P30, -- 35Q55; Ground state solution, -- solution branch, -- spectral collocation method, -- divide-and-conquer; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.151214.021015a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: We study pseudo-arclength continuation methods for both Rydberg-dressed Bose-Einstein condensates (BEC), and binary Rydberg-dressed BEC which are governed by the Gross-Pitaevskii equations (GPEs). A divide-and-conquer technique is proposed for rescaling the range/ranges of nonlocal nonlinear term/terms, which gives enough information for choosing a proper stepsize. This guarantees that the solution curve we wish to trace can be precisely approximated. In addition, the ground state solution would successfully evolve from one peak to vortices when the affect of the rotating term is imposed. Moreover, parameter variables with different number of components are exploited in curve-tracing. The proposed methods have the advantage of tracing the ground state solution curve once to compute the contours for various values of the coefficients of the nonlocal nonlinear term/terms. Our numerical results are consistent with those published in the literatures.