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

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.

5 pages, 2 figures

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• Quantum hydrodynamics for supersolid crystals and quasicrystals
• The adiabatic strictly-correlated-electrons functional: kernel and exact properties
• Kohn-Sham theory of rotating dipolar Fermi gas in two dimensions
• Digital-analog quantum computing of fermion-boson models in superconducting circuits
• First order expansion in the semiclassical limit of the Levy-Lieb functional
• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules