A simple mechanism for unstable degeneracies in local Hamiltonians
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911239960002560 |
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| author | Rubio, Jose Garre |
| author_facet | Rubio, Jose Garre |
| contents | If a local Hamiltonian eigenstate is mapped to another state by local operators commuting with the Hamiltonian terms, the latter is also an eigenstate. This basic observation implies a no-go result for both being a unique ground state and having a degeneracy protected against local perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03228 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A simple mechanism for unstable degeneracies in local Hamiltonians Rubio, Jose Garre Quantum Physics If a local Hamiltonian eigenstate is mapped to another state by local operators commuting with the Hamiltonian terms, the latter is also an eigenstate. This basic observation implies a no-go result for both being a unique ground state and having a degeneracy protected against local perturbations. |
| title | A simple mechanism for unstable degeneracies in local Hamiltonians |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.03228 |