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A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices

Published online by Cambridge University Press:  03 June 2015

Y.-S. Wang ,
B.-W. Jeng  and
C.-S. Chien
Y.-S. Wang*
Affiliation:
Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan
B.-W. Jeng*
Affiliation:
Department of Mathematics Education, National Taichung University of Education, Taichung 403, Taiwan
C.-S. Chien*
Affiliation:
Department of Computer Science and Information Engineering, Ching Yun University, Jungli 320, Taiwan
*
Email:wang04.wang25@msa.hinet.net
Email:bwjeng@mail.ntcu.edu.tw
Corresponding author.Email:cschien@cyu.edu.tw, cschien@amath.nchu.edu.tw
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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.

Keywords

65N3535P3035Q55Spectral collocation methodsecond kind Chebyshev polynomialsperiodic potentialbifurcation
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 2 , February 2013 , pp. 442 - 460
Copyright
Copyright © Global Science Press Limited 2013

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