Three-body losses of repulsively interacting three-component fermionic atoms in optical lattices

TL;DR

This study examines how strong three-body repulsive interactions influence the Mott transition in three-component fermionic atoms in optical lattices, finding minimal impact unless the repulsion is extremely strong, which suppresses triple occupancy.

Contribution

It demonstrates that three-body repulsions do not significantly alter the Mott transition, providing insight into the effects of three-body losses in such systems.

Findings

Three-body repulsion does not affect the qualitative features of the Mott transition.

Strong three-body repulsion suppresses triple occupancy in the Fermi liquid state.

Three-body losses have little influence on the Mott transition in these systems.

Abstract

We investigate the effects of a repulsive three-body interaction on the Mott transition of the repulsively interacting three-component fermionic atoms in optical lattices by means of the self-energy functional approach. We find that the three-body repulsion hardly affects the qualitative features of the Mott transition, because the three-body repulsion does not compete with the two-body repulsions. When the three-body repulsion is extremely strong, the triple occupancy vanishes in the Fermi liquid state. This situation is equivalent to that caused by strong three-body losses. Our results imply that three-body losses have little influence on the Mott transitions in the repulsively interacting three-component fermionic atoms in optical lattices.