Coexistence of pairing gaps in three-component Fermi gases

TL;DR

This paper investigates a three-component superfluid Fermi gas in a trap, predicting a coexistence phase with two nonzero pairing gaps, highlighting differences from local density approximation results and discussing atom number conservation effects.

Contribution

It introduces the prediction of a coexistence phase with two pairing gaps in a trapped three-component Fermi gas using the Bogoliubov-deGennes method, contrasting previous local density approximation studies.

Findings

Coexistence phase with two pairing gaps predicted

Significant differences from local density approximation results

Discussion on atom number conservation effects

Abstract

We study a three-component superfluid Fermi gas in a spherically symmetric harmonic trap using the Bogoliubov-deGennes method. We predict a coexistence phase in which two pairing field order parameters are simultaneously nonzero, in stark contrast to studies performed for trapped gases using local density approximation. We also discuss the role of atom number conservation in the context of a homogeneous system.