Trapped p-wave superfluids: A local-density approach

The local-density approximation is used to study the ground state superfluid properties of harmonically trapped $p$-wave Fermi gases as a function of fermion-fermion attraction strength. While the density distribution is bimodal on the weakly attracting BCS side, it becomes unimodal with increasing attraction and saturates towards the Bose-Einstein condensate (BEC) side. This nonmonotonic evolution is related to the topological gapless-to-gapped phase transition, and may be observed via radio-frequency spectroscopy since quasiparticle transfer current requires a finite threshold only on the BEC side.