s- and p-superfluidity of Fermi atoms in Bose-Fermi mixtures

TL;DR

This paper investigates s- and p-wave superfluidity in Bose-Fermi mixtures, deriving gap equations and identifying conditions for pure p-wave superfluidity, which is crucial for topological quantum computing.

Contribution

It provides a theoretical framework and numerical analysis for realizing pure p-wave superfluidity in atomic gases, advancing understanding of topological superfluid states.

Findings

Derived general gap equations for s- and p-wave superfluidity.

Quantified conditions for pure p-wave superfluidity realization.

Numerical solutions demonstrate feasible parameter regimes.

Abstract

The p-wave superfluid is characterized by nontrivial topological characteristics essential for fault-tolerant quantum state manipulation. However, the practical realization of the p-wave state remains a challenging problem. We study the s- and p-wave superfluidity in mixtures of fermionic and spinor bosonic gases and derive a general set of the gap equations for these superfluid states. Numerically solving the gap equations for the s-wave state, we quantify the physical conditions for the realization of the pure p-wave state in a well-controlled environment of atomic physics in the absence of an admixture of the s-wave state.