TY - JOUR
T1 - A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices
JO - Communications in Computational Physics
VL - 2
SP - 442
EP - 460
PY - 2013
DA - 2013/02
SN - 13
DO - http://doi.org/10.4208/cicp.110711.170212a
UR - https://global-sci.org/intro/article_detail/cicp/7230.html
KW - 
AB - <p style="text-align: justify;">We study efficient spectral-collocation and continuation methods (SCCM)
for rotating two-component Bose-Einstein condensates (BECs) and rotating two-component BECs in optical lattices, where the second kind Chebyshev polynomials are used
as the basis functions for the trial function space. A novel two-parameter continuation
algorithm is proposed for computing the ground state and first excited state solutions
of the governing Gross-Pitaevskii equations (GPEs), where the classical tangent vector is split into two constraint conditions for the bordered linear systems. Numerical
results on rotating two-component BECs and rotating two-component BECs in optical lattices are reported. The results on the former are consistent with the published
numerical results.</p>