Phase transition in a Rabi coupled two-component Bose–Einstein condensate. (July 2019)

• Record Type: Journal Article
• Authors: Aftalion, Amandine; Sourdis, Christos
• Is Part Of: Nonlinear analysis. Volume 184(2019)
• Page Start: 381
• Page End: 397
• Publication Date: 2019-07
• Subjects: Elliptic PDE's -- Phase separation -- Bose–Einstein condensate; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.03.018
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper deals with the study of the phase transition of the wave functions of a segregated two-component Bose–Einstein condensate under Rabi coupling. This yields a system of two coupled ODE's where the Rabi coupling is linear in the other wave function and acts against segregation. We prove estimates on the asymptotic behaviour of the wave functions, as the strength of the interaction gets strong or weak. We also derive limiting problems in both cases.