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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2209.01141 |
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| _version_ | 1866916075660115968 |
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| author | Lucia, Angelo Moon, Alvin Young, Amanda |
| author_facet | Lucia, Angelo Moon, Alvin Young, Amanda |
| contents | We use cluster expansions to establish local indistiguishability of the finite-volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at least 5. Our estimates imply that the model satisfies local topological quantum order (LTQO), and so the spectral gap above the ground state is stable against local perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01141 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model Lucia, Angelo Moon, Alvin Young, Amanda Mathematical Physics Quantum Physics We use cluster expansions to establish local indistiguishability of the finite-volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at least 5. Our estimates imply that the model satisfies local topological quantum order (LTQO), and so the spectral gap above the ground state is stable against local perturbations. |
| title | Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2209.01141 |