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

2018/12/03 by Amandine Aftalion, Aftalion, Amandine, Christos Sourdis +1 · 2 citations
Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Optical properties and cooling technologies in crystalline materials #Strong Light-Matter Interactions

paper · doi:10.48550/arxiv.1812.00618

openalex publication_date 2018/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On Phase-Separation Models: Asymptotics and Qualitative Properties
• On the weak separation limit of a two-component Bose-Einstein condensate

Cited by

• Phase transitions in two-component Bose-Einstein condensates with Rabi frequency (II): The De Giorgi conjecture for the nonlocal problem in ℝ² or ℝ³
• Phase transitions in two-component Bose-Einstein condensates with Rabi frequency (I): The De Giorgi conjecture for the local problem in ℝ³

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• Phase transitions in two-component Bose-Einstein condensates with Rabi frequency (II): The De Giorgi conjecture for the nonlocal problem in ℝ² or ℝ³
• On the weak separation limit of a two-component Bose-Einstein condensate
• Interface layer of a two-component Bose-Einstein condensate
• Saturating interaction in coherently coupled two-component Bose-Einstein condensates