Ground State Properties of Cold Bosonic Atoms At Large Scattering Lengths

TL;DR

This paper investigates the properties of cold bosonic atoms at large scattering lengths using a variational approach, revealing similarities to Fermi gases and providing estimates relevant for experiments near Feshbach resonances.

Contribution

It introduces a variational method to study large scattering length effects in bosonic atoms, analyzing multiple properties and highlighting Fermi gas-like behavior.

Findings

Momentum distribution functions show Fermi gas-like features.

Spatial density profiles resemble those of Fermi gases.

Results applicable near Feshbach resonances with low three-body fractions.

Abstract

In this letter, we study bosonic atoms at large scattering lengths using a variational method where the condensation amplitude is a variational parameter. We further examine momentum distribution functions, chemical potentials and speed of sound, and spatial density profiles of cold bosonic atoms in a trap in this limit. The later two properties turn out to bear similarities of those of Fermi gases. Estimates obtained here are applicable near Feshbach resonances, particularly when the fraction of atoms forming three-body structures is small and can be tested in future cold atom experiments.