$\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states

Alice Marché, Alberto Nardin, Hosho Katsura +1

We study an $\mathrm{SU}(3)$ invariant Fermi-Hubbard gas undergoing on-site three-body losses. The model presents eight independent strong symmetries preventing the complete deplet…