Exactly solvable quantum spin-glass model with 1RSB-fullRSB transition
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916422884524032 |
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| author | Shiraishi, Naoto |
| author_facet | Shiraishi, Naoto |
| contents | We introduce a novel quantum spin-glass model, a Sherrington-Kirkpatrick model with a transverse mean-field type random magnet. We rigorously derive the exact expression of the free energy of this model at the entire parameter region. The obtained exact solution implies the existence of a 1RSB-fullRSB transition at low temperatures. Our technique can be applied to general classical spin models, telling that any solvable classical spin model has its solvable quantum counterpart. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03079 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exactly solvable quantum spin-glass model with 1RSB-fullRSB transition Shiraishi, Naoto Statistical Mechanics Disordered Systems and Neural Networks Mathematical Physics Quantum Physics We introduce a novel quantum spin-glass model, a Sherrington-Kirkpatrick model with a transverse mean-field type random magnet. We rigorously derive the exact expression of the free energy of this model at the entire parameter region. The obtained exact solution implies the existence of a 1RSB-fullRSB transition at low temperatures. Our technique can be applied to general classical spin models, telling that any solvable classical spin model has its solvable quantum counterpart. |
| title | Exactly solvable quantum spin-glass model with 1RSB-fullRSB transition |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2410.03079 |