Dipolar Bose-Einstein condensates with dipole-dependent scattering length

TL;DR

This paper investigates how the dipole-dependent scattering length affects the properties and stability of dipolar Bose-Einstein condensates, emphasizing the importance of including this dependence for accurate modeling.

Contribution

It introduces the consideration of dipole-dependent scattering length in BEC modeling, demonstrating improved agreement between theoretical and computational results.

Findings

Good agreement between Gross-Pitaevskii and diffusion Monte Carlo results when dipole dependence is included

The dipole dependence significantly influences condensate energies and stability

Behavior in non-isotropic traps is also analyzed

Abstract

We consider a Bose-Einstein condensate of polar molecules in a harmonic trap, where the effective dipole may be tuned by an external field. We demonstrate that taking into account the dependence of the scattering length on the dipole moment is essential to reproducing the correct energies and for predicting the stability of the condensate. We do this by comparing Gross-Pitaevskii calculations with diffusion Monte Carlo calculations. We find very good agreement between the results obtained by these two approaches once the dipole dependence of the scattering length is taken into account. We also examine the behavior of the condensate in non-isotropic traps.