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A model of randomly-coupled Pauli spins

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arxiv 2309.15349 v3 pith:2BRTJH4D submitted 2023-09-27 hep-th cond-mat.dis-nncond-mat.str-elquant-ph

Masanori Hanada , Antal Jevicki , Xianlong Liu , Enrico Rinaldi , Masaki Tezuka This is my paper · ORCID
classification hep-thcond-mat.dis-nncond-mat.str-elquant-ph
keywords modelspinfermionspauliquantumoperatorssimulationsspins
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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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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analytic Spread Complexity from Level Statistics: From Chaos to Integrability

    hep-th 2026-08 conditional novelty 7.0 of 10

    The finite-time peak of spread complexity is controlled by the Fourier transform of the nearest-neighbour energy-level spacing distribution.

  2. Entanglement production in the Sachdev-Ye-Kitaev Model and its variants

    quant-ph 2025-07 conditional novelty 6.0 of 10

    Entanglement production rates distinguish the spin-SYK model from fermionic SYK and binary SYK, and the differences only become visible at larger system sizes.

  3. L\'evy Sachdev-Ye-Kitaev Model

    quant-ph 2025-06 conditional novelty 6.0 of 10

    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).

  4. The moments of the spectral form factor in SYK

    hep-th 2024-12 conditional novelty 6.0 of 10

    SYK spectral form factor moments match random matrix statistics at low order, with a k^2/N^{q-2} correction from spectral edge fluctuations that is amplified by sparsification.

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