# Three-body correlations in a two-dimensional SU(3) Fermi gas

## TL;DR

This paper studies three-body correlations in a two-dimensional SU(3) Fermi gas, revealing stable trimers and their persistence at high densities, with implications for cold atom experiments.

## Contribution

It introduces a phase diagram characterization for quasi-2D SU(3) Fermi gases using scattering parameters and demonstrates the stability of trimers against losses in 2D.

## Key findings

- Stable three-body bound states (trimers) can exist in 2D SU(3) Fermi gases.
- Remnants of trimers persist as strong correlations at high densities.
- The phase diagram can be described using scattering length and effective range.

## Abstract

We consider a three-component Fermi gas that has SU(3) symmetry and is confined to two dimensions (2D). For realistic cold atomic gas experiments, we show that the phase diagram of the quasi-2D system can be characterized using two 2D scattering parameters: the scattering length and the effective range. Unlike the case in 3D, we argue that three-body bound states (trimers) in the quasi-2D system can be stable against three-body losses. Using a low-density expansion coupled with a variational approach, we investigate the fate of such trimers in the many-body system as the attractive interactions are decreased (or, conversely, as the density of particles is increased). We find that remnants of trimers can persist in the form of strong three-body correlations in the weak-coupling (high-density) limit.