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Volume 13, Issue 2
A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices

Y.-S. Wang, B.-W. Jeng & C.-S. Chien

DOI: 10.4208/cicp.110711.170212a

Commun. Comput. Phys., 13 (2013), pp. 442-460.

Published online: 2013-02

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  • 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.

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@Article{CiCP-13-442, author = {Y.-S. Wang, B.-W. Jeng and C.-S. Chien}, 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} }
TY - JOUR T1 - A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices AU - Y.-S. Wang, B.-W. Jeng & C.-S. Chien 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 -

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.

Y.-S. Wang, B.-W. Jeng and C.-S. Chien. (2013). A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices. Communications in Computational Physics. 13 (2). 442-460. doi:10.4208/cicp.110711.170212a
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