Pseudogap Effects of Fermi Gases in the Presence of A Strong Effective Magnetic Field

We address the important question of how to characterize the normal state of fermionic superfluids under the influence of a strong effective magnetic field, implemented through rapid rotation or novel artificial field techniques. We consider the effects of crossing from BCS to BEC and the role of non-condensed pairs, or pseudogap effects. Using a simple extension of Gor'kov theory we demonstrate how these pairs organize above the transition $T_c$ into precursors of a vortex configuration, which are associated with distortions of the ideal Abrikosov lattice. This non-uniform normal state appears to enable "Bose condensation" in a field which is otherwise problematic due to the effective one-dimensionality of Landau level dispersion.