Phase transition in a Rabi coupled two-component Bose-Einstein condensate

被引：2
|
作者：
Aftalion, Amandine [1 ]
Sourdis, Christos [2 ]
机构：
[1] PSL Res Univ, CNRS UMR 8557, Ctr Anal & Math Sociales, Ecole Hautes Etud Sci Sociales, 54 Blvd Raspail, F-75006 Paris, France
[2] Fdn Res & Technol Hellas, Inst Appl & Computat Math, Iraklion, Crete, Greece
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 184卷
关键词：
Elliptic PDE's; Phase separation; Bose-Einstein condensate;
D O I：
10.1016/j.na.2019.03.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：381 / 397
页数：17
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