Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases

TL;DR

This paper develops a density functional approach for strongly-correlated ultracold dipolar and ionic gases, effectively handling systems with tunable long-range interactions and strong correlations where traditional methods fail.

Contribution

A novel density functional formalism that does not rely on prior homogeneous gas calculations, suitable for strongly-correlated systems with tunable long-range interactions.

Findings

Effective in strongly-correlated regimes

Handles long-range interactions without prior homogeneous calculations

Works where mean-field theories are inadequate

Abstract

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling limits. Contrary to conventional density functional approaches, our formalism does not require a previous calculation of the interacting homogeneous gas, and it is thus very suitable to treat systems with tunable long-range interactions. Due to its asymptotic exactness in the regime of strong correlation, the formalism works for systems in which standard mean-field theories fail.