Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems

TL;DR

This paper investigates the spatial patterns and phase segregation of ground and excited states in a two-component Bose-Einstein condensate system modeled by Gross-Pitaevskii equations, considering various trapping potentials and interaction regimes.

Contribution

It provides a detailed analysis of ground and excited state behaviors, including phase segregation phenomena, under different trapping potentials and interaction strengths in 2D systems.

Findings

Identification of phase segregation patterns in large-interaction regimes

Analysis of spatial configurations under harmonic and off-centered traps

Insights into the qualitative behavior of excited states in Bose-Einstein condensates

Abstract

We consider a system of Gross-Pitaevskii equations in R^2 modelling a mixture of two Bose-Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two different harmonic and off-centered trapping potentials and study the spatial patterns of the solutions within the Thomas-Fermi approximation as well as phase segregation phenomena within the large-interaction regime.