SU(3) Fermi-Hubbard gas with three-body losses: symmetries and dark states
Abstract
We study an SU(3) invariant Fermi-Hubbard gas undergoing on-site three-body losses. The model presents eight independent strong symmetries preventing the complete depletion of the gas. By making use of a basis of semi-standard Young tableaux states, we reveal the presence of a rich phenomenology of stationary states. We classify the latter according to the irreducible representation of SU(3) to which they belong. We finally discuss the presence of three-particle stationary states that are not protected by the SU(3) symmetry.
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