Multi-body correlations in SU(3) Fermi gases

TL;DR

This paper explores strong-coupling effects and multi-body correlations in a three-component Fermi gas, aiming to simulate QCD phenomena and analyze how temperature and chemical potential influence trimer binding energies near superfluidity.

Contribution

It introduces a combined approach using many-body T-matrix approximation and STM equations to study medium effects on three-body correlations in SU(3) Fermi gases.

Findings

Finite temperature and chemical potential affect trimer binding energies.

Medium corrections modify two- and three-body correlation effects.

Results provide insights into phenomena like color superfluidity and Efimov states.

Abstract

We investigate strong-coupling effects in a three-component atomic Fermi gas. It is a promising candidate for simulating quantum chromodynamics (QCD), and furthermore, the emergence of various phenomena such as color superfluidity and Efimov effect are anticipated in this system. In this paper, we study the effects of two-body and three-body correlations by means of the many-body $T$-matrix approximation (TMA) as well as the Skorniakov-Ter-Martirosian (STM) equation with medium corrections. We investigate the effects of finite temperature and chemical potential on the trimer binding energy at the superfluid critical point of the unitarity limit.