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High Energy Physics - Theory
Title: A model of randomly-coupled Pauli spins
(Submitted on 27 Sep 2023 (v1), last revised 24 Apr 2024 (this version, v3))
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.
Submission history
From: Masaki Tezuka [view email][v1] Wed, 27 Sep 2023 01:36:01 GMT (851kb,D)
[v2] Mon, 18 Dec 2023 14:30:00 GMT (854kb,D)
[v3] Wed, 24 Apr 2024 01:23:01 GMT (2063kb,D)
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