Any local Hamiltonian with ferromagnetic quantum many-body scars has a generalized Shiraishi-Mori form
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911547149778944 |
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| author | Omiya, Keita |
| author_facet | Omiya, Keita |
| contents | Quantum many-body scars (QMBS) are nonthermal eigenstates embedded in otherwise thermal spectra. A broad class of exact QMBS is realized as fixed-momentum magnon states above a ferromagnetic reference state. Here we prove a structural theorem for this class. Specifically, we show that any local Hamiltonian hosting such ``ferromagnetic scar states'' necessarily admits a decomposition into a Zeeman term and terms containing local projectors that annihilate the scar states locally. This result establishes that an appropriate generalization of the Shiraishi--Mori construction is essentially exhaustive for ferromagnetic QMBS and provides a unified structural explanation for the recurrent appearance of projector-based interactions and equally spaced scar towers across a broad family of exact scar Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11806 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Any local Hamiltonian with ferromagnetic quantum many-body scars has a generalized Shiraishi-Mori form Omiya, Keita Quantum Physics Strongly Correlated Electrons Mathematical Physics Quantum many-body scars (QMBS) are nonthermal eigenstates embedded in otherwise thermal spectra. A broad class of exact QMBS is realized as fixed-momentum magnon states above a ferromagnetic reference state. Here we prove a structural theorem for this class. Specifically, we show that any local Hamiltonian hosting such ``ferromagnetic scar states'' necessarily admits a decomposition into a Zeeman term and terms containing local projectors that annihilate the scar states locally. This result establishes that an appropriate generalization of the Shiraishi--Mori construction is essentially exhaustive for ferromagnetic QMBS and provides a unified structural explanation for the recurrent appearance of projector-based interactions and equally spaced scar towers across a broad family of exact scar Hamiltonians. |
| title | Any local Hamiltonian with ferromagnetic quantum many-body scars has a generalized Shiraishi-Mori form |
| topic | Quantum Physics Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2601.11806 |