Bifurcation analysis of a two-component Bose-Einstein condensate

Yuen Cheng Kuo, Wen Wei Lin, Shih-Feng Shieh

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)311-346
Number of pages36
JournalPhysica D: Nonlinear Phenomena
Volume211
Issue number3-4
DOIs
Publication statusPublished - 2005 Nov 15

Keywords

  • Bose-Einstein condensate
  • Gross-Pitaevskii equation
  • Nonlinear Schrödinger equation
  • Pitchfork bifurcation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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