A model of randomly-coupled Pauli spins

Autor: Masanori Hanada, Antal Jevicki, Xianlong Liu, Enrico Rinaldi, Masaki Tezuka
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 5, Pp 1-30 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2024)280
Popis: Abstract 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.
Databáze: Directory of Open Access Journals