Evolution from BCS to BEC superfluidity in p-wave Fermi gases

Abstract

We consider the evolution of superfluid properties of a three dimensional p-wave Fermi gas from weak (BCS) to strong (BEC) coupling as a function of scattering volume. We analyse the order parameter, quasi-particle excitation spectrum, chemical potential, average Cooper pair size and the momentum distribution in the ground state ($T=0$). We also discuss the critical temperature $T_{\mathrm{c}}$, chemical potential and number of unbound, scattering and bound fermions in the normal state ($T=T_{\mathrm{c}}$). Lastly, we derive the time-dependent Ginzburg-Landau equation for $T\approx T_{\mathrm{c}}$ and extract the Ginzburg-Landau coherence length.

4 pages with 6 figures