Abstract
The signature of superfluidity in bosonic systems is a sound-wave-like spectrum of the single particle excitations which in the case of strong interactions is roughly temperature independent. In Fermionic systems, where Fermion pairing arises as a resonance phenomenon between free Fermions and paired Fermionic states (examples are: the atomic gases of $^{6}\mathrm{Li}$ or $^{40}\mathrm{K}$ controlled by a Feshbach resonance, polaronic systems in the intermediary coupling regime, $d$-wave hole pairing in the strongly correlated Hubbard system), remnants of such superfluid characteristics are expected to be visible in the normal state. The single particle excitations maintain a sound-wave-like structure for wave vectors above a certain ${q}_{\mathrm{min}}(T)$ where they practically coincide there with the spectrum of the superfluid phase for $T<{T}_{c}$. Upon approaching the transition from above this region in $q$ space extends down to small momenta, except for a narrow region around $q=0$ where such modes change into damped free particle like excitations.
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