Ground state of a homogeneous Bose gas of hard spheres

TL;DR

This paper develops a self-consistent mean-field theory to accurately describe the ground state of a homogeneous Bose gas of hard spheres across all interaction strengths, aligning well with Monte Carlo results.

Contribution

It introduces a novel self-consistent mean-field approach that remains valid for all gas parameters, unlike previous methods limited to weak interactions.

Findings

Accurately describes the ground state for arbitrary interaction strengths.

Shows good agreement with Monte Carlo numerical calculations.

Provides a unique mean-field method for Bose systems at any gas parameter.

Abstract

The ground state of a homogeneous Bose gas of hard spheres is treated in self-consistent mean-field theory. It is shown that this approach provides an accurate description of the ground state of a Bose-Einstein condensed gas for arbitrarily strong interactions. The results are in good agreement with Monte Carlo numerical calculations. Since all other mean-field approximations are valid only for very small gas parameters, the present self-consistent theory is a unique mean-field approach allowing for an accurate description of Bose systems at arbitrary values of the gas parameter.