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SU(3) Fermi-Hubbard gas with three-body losses: Symmetries and dark states

Alice Marché1,*, Alberto Nardin1, Hosho Katsura2,3,4, and Leonardo Mazza1,5

  • *Contact author: alice.marche@universite-paris-saclay.fr
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Phys. Rev. Research 7, 043124 – Published 3 November, 2025

DOI: https://doi.org/10.1103/v6rg-q49v

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 semistandard 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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Phys. Rev. Research 7, 043124– Published 3 November, 2025
  • Received 10 April 2025
  • Accepted 22 September 2025
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