@Article{CiCP-13-442, author = {}, title = {A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {2}, pages = {442--460}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.110711.170212a}, url = {http://global-sci.org/intro/article_detail/cicp/7230.html} }