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

TL;DR

This paper studies the continuous evolution of superfluid properties in a three-dimensional p-wave Fermi gas from weak to strong coupling, analyzing various physical quantities and deriving the Ginzburg-Landau equation near the critical temperature.

Contribution

It provides a comprehensive analysis of superfluid transition in p-wave Fermi gases, including derivations of key physical parameters and the Ginzburg-Landau equation, extending understanding beyond previous s-wave studies.

Findings

Evolution of order parameter and excitation spectrum across BCS-BEC transition

Quantitative analysis of critical temperature and fermion populations

Derivation of Ginzburg-Landau coherence length near $T_c$

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 $T_{\rm c}$, chemical potential and number of unbound, scattering and bound fermions in the normal state ($T = T_{\rm c}$). Lastly, we derive the time-dependent Ginzburg-Landau equation for $T \approx T_{\rm c}$ and extract the Ginzburg-Landau coherence length.