A model of randomly-coupled Pauli spins
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910458955431936 |
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| author | Hanada, Masanori Jevicki, Antal Liu, Xianlong Rinaldi, Enrico Tezuka, Masaki |
| author_facet | Hanada, Masanori Jevicki, Antal Liu, Xianlong Rinaldi, Enrico Tezuka, Masaki |
| contents | We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this model numerically and compare the properties with those of the SYK model. We observe a striking quantitative coincidence between the spin model and the SYK model, which suggests that this spin model is strongly chaotic and, perhaps, can play some role in holography. We also discuss the path-integral approach with multi-local fields and the possibility of quantum simulations. This model may be an interesting target for quantum simulations because Pauli spins are easier to implement than fermions on qubit-based quantum devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15349 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A model of randomly-coupled Pauli spins Hanada, Masanori Jevicki, Antal Liu, Xianlong Rinaldi, Enrico Tezuka, Masaki High Energy Physics - Theory Disordered Systems and Neural Networks Strongly Correlated Electrons Quantum Physics We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this model numerically and compare the properties with those of the SYK model. We observe a striking quantitative coincidence between the spin model and the SYK model, which suggests that this spin model is strongly chaotic and, perhaps, can play some role in holography. We also discuss the path-integral approach with multi-local fields and the possibility of quantum simulations. This model may be an interesting target for quantum simulations because Pauli spins are easier to implement than fermions on qubit-based quantum devices. |
| title | A model of randomly-coupled Pauli spins |
| topic | High Energy Physics - Theory Disordered Systems and Neural Networks Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2309.15349 |