TY - JOUR
T1 - Pseudo-Arclength Continuation Algorithms for Binary Rydberg-Dressed Bose-Einstein Condensates
AU - Sirilak Sriburadet, Y.-S. Wang, C.-S. Chien & Y. Shih
JO - Communications in Computational Physics
VL - 4
SP - 1067
EP - 1093
PY - 2018
DA - 2018/04
SN - 19
DO - http://doi.org/10.4208/cicp.151214.021015a
UR - https://global-sci.org/intro/article_detail/cicp/11120.html
KW - 
AB - <p style="text-align: justify;">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.</p>