Phase separation of multi-component Bose-Einstein condensates in optical lattices

Yuen Cheng Kuo, Shih Feng Shieh*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


In this paper, we analyze phase separation of multi-component Bose-Einstein condensates (BECs) in the presence of strong optical lattices. This paper is in threefold. We first prove that when the inter-component scattering lengths go to infinity, phase separation of a multi-component BEC occurs. Furthermore, particles repel each other and form segregated nodal domains. Secondly, we show that the union of these segregated nodal domains equal to the entire domain. Thirdly, we show that if the intra-component scattering lengths are bounded by some finite number, each nodal domain is connected. For large intra-component scattering lengths, however, the third result is not true and a counter example of non-connected nodal domains is given.

Original languageEnglish
Pages (from-to)521-533
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - 2008 Nov 15


  • Bose-Einstein condensates
  • Coupled Gross-Pitaevskii equation
  • Discrete nonlinear Schrödinger equation
  • Nonlinear eigenvalue problem
  • Phase separation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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