کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9669296 | 867771 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate](/preview/png/9669296.png)
چکیده انگلیسی
We develop a continuation block successive over-relaxation (BSOR)-Lanczos-Galerkin method for the computation of positive bound states of time-independent, coupled Gross-Pitaevskii equations (CGPEs) which describe a multi-component Bose-Einstein condensate (BEC). A discretization of the CGPEs leads to a nonlinear algebraic eigenvalue problem (NAEP). The solution curve with respect to some parameter of the NAEP is then followed by the proposed method. For a single-component BEC, we prove that there exists a unique global minimizer (the ground state) which is represented by an ordinary differential equation with the initial value. For a multi-component BEC, we prove that m identical ground/bound states will bifurcate into m different ground/bound states at a finite repulsive inter-component scattering length. Numerical results show that various positive bound states of a two/three-component BEC are solved efficiently and reliably by the continuation BSOR-Lanczos-Galerkin method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 210, Issue 2, 10 December 2005, Pages 439-458
Journal: Journal of Computational Physics - Volume 210, Issue 2, 10 December 2005, Pages 439-458
نویسندگان
Shu-Ming Chang, Yuen-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh,