Density functional theory for fermionic atom gases

Ping Nang Ma, Sebastiano Pilati, Matthias Troyer +1 more

T. Papenbrock

Bogdan Mihaila, S. Gaudio, Krastan B. Blagoev +3 more

Francesc Malet, André Mirtschink, Christian B. Mendl +4 more

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. Because of its asymptotic exactness in the regime of strong correlation, the formalism works for systems in which standard mean-field theories fail.

M. Reza Bakhtiari

Preface.- 1. Reviews on Ultra-cold quantum gases.- 2. Theory of matter transport in quasi-1D arrays.- 3. Density-functional theory of 1D Fermi gases.- 4. Ultra-cold attractive fermions in 1D optical lattices.

M. Ya. Amusia, Vasily R. Shaginyan