Dynamical mean-field approximation for a two-component Fermi gas

The properties of nonrelativistic two-component Fermi gas with attractive two-body contact interaction are studied within dynamical mean-field theory. To this end, the problem is approximated by the lattice Hubbard Hamiltonian. We have found that the low-density gas, corresponding to the limit of empty lattice, can be appropriately described in this theory. Moreover, we have also found that the main properties of the BCS-BEC transition are qualitatively captured as well.