Stability and structure of two coupled boson systems in an external field

TL;DR

This paper investigates the stability and structural properties of two coupled boson systems in an external harmonic trap, analyzing how interactions influence their configurations and stability regions.

Contribution

It provides a detailed analysis of the adiabatic potential and stability conditions for coupled boson systems with zero-range interactions, highlighting effects of repulsion and attraction.

Findings

Strong repulsion causes displaced stable structures.

Attraction restricts mean-field stability due to center of mass motion.

New stable configurations emerge under specific interaction conditions.

Abstract

The lowest adiabatic potential expressed in hyperspherical coordinates is estimated for two boson systems in an external harmonic trap. Corresponding conditions for stability are investigated and the related structures are extracted for zero-range interactions. Strong repulsion between non-identical particles leads to two new features, respectively when identical particles attract or repel each other. For repulsion new stable structures arise with displaced center of masses. For attraction the mean-field stability region is restricted due to motion of the center of masses.