Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877510 | Physica D: Nonlinear Phenomena | 2005 | 36 Pages |
Abstract
In this paper, we prove that the solution curve of the ground/positive bound states of a two-component Bose-Einstein condensate undergoes supercritical pitchfork bifurcations at some finite values of the inter-component scattering length. The ground state solutions bifurcate into two symmetric solutions with respect to some suitable axis on the symmetric domain, when a two-component BEC has equal intra- and inter-component scattering lengths. Furthermore, we show that the ground/positive bound states repel each other and form segregated nodal domains when the repulsive scattering length goes to infinity. Numerical results of bifurcation diagrams and the forms of ground/positive bound state solutions for a two-component BEC with various trap potentials are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuen-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh,