$\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917082266861568 |
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| author | Marché, Alice Nardin, Alberto Katsura, Hosho Mazza, Leonardo |
| author_facet | Marché, Alice Nardin, Alberto Katsura, Hosho Mazza, Leonardo |
| contents | 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 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 $\mathrm{SU}(3)$ to which they belong. We finally discuss the presence of three-particle stationary states that are not protected by the $\mathrm{SU}(3)$ symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17217 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states Marché, Alice Nardin, Alberto Katsura, Hosho Mazza, Leonardo Quantum Gases Quantum Physics 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 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 $\mathrm{SU}(3)$ to which they belong. We finally discuss the presence of three-particle stationary states that are not protected by the $\mathrm{SU}(3)$ symmetry. |
| title | $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2503.17217 |