Weak separation limit of a two-component Bose-Einstein condensate
Date
2018-01-31
Authors
Sourdis, Christos
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Geometric singular perturbation theory, Heteroclinic connection, Hamiltonian system, Bose-Einstein condensate, Phase separation
Citation
Sourdis, C. (2018). Weak separation limit of a two-component Bose-Einstein condensate. <i>Electronic Journal of Differential Equations, 2018</i>(40), pp. 1-12.
Rights
Attribution 4.0 International