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A model of randomly-coupled Pauli spins
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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.
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Cited by 2 Pith papers
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Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
Entanglement production rates distinguish the spin-SYK model from fermionic SYK and binary SYK, and the differences only become visible at larger system sizes.
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L\'evy Sachdev-Ye-Kitaev Model
In the Lévy-disordered SYK model, spectral correlations crossover from random-matrix (chaotic) to integrable behavior at a disorder strength μ_c that shrinks as N^{-1} (short range) and N^{-1.63} (long range).
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