Year: 2016
Communications in Computational Physics, Vol. 19 (2016), Iss. 4 : pp. 1067–1093
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.151214.021015a
Communications in Computational Physics, Vol. 19 (2016), Iss. 4 : pp. 1067–1093
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
-
Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation
Chen, H.-S. | Chang, S.-L. | Jeng, B.-W. | Chien, C.-S.Numerical Algorithms, Vol. 77 (2018), Iss. 3 P.709
https://doi.org/10.1007/s11075-017-0336-7 [Citations: 3] -
Continuation and preconditioned imaginary time evolution methods for boson–fermion mixtures
Jeng, B.-W. | Sriburadet, SirilakJournal of Computational and Applied Mathematics, Vol. 381 (2021), Iss. P.113019
https://doi.org/10.1016/j.cam.2020.113019 [Citations: 1] -
Stability analysis and continuation for the coupled Gross–Pitaevskii equations
Sriburadet, Sirilak | Shih, Yin-Tzer | Chien, C.-S.Computers & Mathematics with Applications, Vol. 78 (2019), Iss. 3 P.807
https://doi.org/10.1016/j.camwa.2019.03.003 [Citations: 2]