The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911494532235264 |
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| author | Kouraich, Anouar Manai, Chokri Warzel, Simone |
| author_facet | Kouraich, Anouar Manai, Chokri Warzel, Simone |
| contents | We consider the free energy of a class of spin glass models with $ p$-spin interactions in a transverse magnetic field. As $ p \to \infty $, the infinite system-size free energy is proven to converge to that of the quantum random energy model. This is accomplished by combining existing analytical techniques addressing the non-commutative properties of such quantum glasses, with the description of the typical geometry of extreme negative deviations of the classical $ p $-spin glass. We also review properties of the corresponding classical free energy and conjectures addressing $ 1/p $-corrections in the quantum case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02458 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses Kouraich, Anouar Manai, Chokri Warzel, Simone Mathematical Physics Disordered Systems and Neural Networks Probability 82D30, 82B44 We consider the free energy of a class of spin glass models with $ p$-spin interactions in a transverse magnetic field. As $ p \to \infty $, the infinite system-size free energy is proven to converge to that of the quantum random energy model. This is accomplished by combining existing analytical techniques addressing the non-commutative properties of such quantum glasses, with the description of the typical geometry of extreme negative deviations of the classical $ p $-spin glass. We also review properties of the corresponding classical free energy and conjectures addressing $ 1/p $-corrections in the quantum case. |
| title | The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses |
| topic | Mathematical Physics Disordered Systems and Neural Networks Probability 82D30, 82B44 |
| url | https://arxiv.org/abs/2505.02458 |