  Experiments on polarized fermion gases performed by trapping ultracold atoms
in optical lattices, allow the study of an attractive Hubbard model for which
the strength of the on site interaction is tuned by means of a Feshbach
resonance. Using a well-known particle-hole transformation we discuss how
results obtained for this system can be reinterpreted in the context of a doped
repulsive Hubbard model. In particular we show that the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state corresponds to the striped state
of the two-dimensional doped positive U Hubbard model. We then use the results
of numerical studies of the striped state to relate the periodicity of the FFLO
state to the spin polarization. We also comment on the relationship of the
$d_{x^2-y^2}$ superconducting phase of the doped 2D repulsive Hubbard model to
a d-wave spin density wave state for the attractive case.
