Condensates and correlated boson systems

TL;DR

This paper investigates two-body correlations in many-boson systems using a hyperspherical approach, analyzing stability criteria for Bose-Einstein condensation and comparing theoretical, experimental, and model-based results.

Contribution

It introduces a hyperspherical method capable of handling arbitrary scattering lengths and bound states in bosonic systems, providing new insights into stability conditions.

Findings

Derived stability criteria for Bose-Einstein condensates

Compared theoretical predictions with experimental data

Extended analysis to include bound states and arbitrary scattering lengths

Abstract

We study two-body correlations in a many-boson system with a hyperspherical approach, where we can use arbitrary scattering length and include two-body bound states. As a special application we look on Bose-Einstein condensation and calculate the stability criterium in a comparison with the experimental criterium and the theoretical criterium from the Gross-Pitaevskii equation.