Abstract
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 dx2y2superconducting phase of the doped 2D repulsive Hubbard
model to a d-wave spin density wave state for the attractive case.
