Weak separation limit of a two-component Bose-Einstein condensate

Abstract

This paper studies 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

• Geometric singular perturbation theory
• heteroclinic connection
• hamiltonian system
• Bose-Einstein condensate
• phase separation