Superfluidity of p-wave and s-wave atomic Fermi gases in optical lattices

TL;DR

This paper investigates the superfluid properties of p-wave and s-wave ultracold atomic gases in optical lattices, analyzing their behavior in weak coupling and BCS-BEC crossover regimes across different lattice geometries.

Contribution

It provides a comparative analysis of p-wave and s-wave superfluidity in optical lattices, including their properties across coupling regimes and lattice symmetries, which is a novel exploration.

Findings

Superfluid order parameter and critical temperature depend on filling factor.

Quasiparticle spectrum and pair size change significantly from BCS to BEC regimes.

Superfluid density varies with lattice symmetry and interaction strength.

Abstract

We consider p-wave pairing of single hyperfine state and s-wave pairing of two hyperfine states ultracold atomic gases trapped in quasi-two-dimensional optical lattices. First, we analyse superfluid properties of p-wave and s-wave symmetries in the strictly weak coupling BCS regime where we discuss the order parameter, chemical potential, critical temperature, atomic compressibility and superfluid density as a function of filling factor for tetragonal and orthorhombic optical lattices. Second, we analyse superfluid properties of p-wave and s-wave superfluids in the evolution from BCS to BEC regime at low temperatures ($T \approx 0$), where we discuss the changes in the quasiparticle excitation spectrum, chemical potential, atomic compressibility, Cooper pair size and momentum distribution as a function of filling factor and interaction strength for tetragonal and orthorhombic optical lattices.