English

On the weak separation limit of a two-component Bose-Einstein condensate

Analysis of PDEs 2016-11-15 v1

Abstract

This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate in the case of weak segregation. This amounts to the study of the asymptotic behaviour of a heteroclinic connection in a conservative Hamiltonian system of two coupled second order ODE's, as the strength of the coupling tends to its infimum. For this purpose, we apply geometric singular perturbation theory.

Keywords

Cite

@article{arxiv.1611.04470,
  title  = {On the weak separation limit of a two-component Bose-Einstein condensate},
  author = {Christos Sourdis},
  journal= {arXiv preprint arXiv:1611.04470},
  year   = {2016}
}
R2 v1 2026-06-22T16:51:42.402Z