A model of randomly-coupled Pauli spins

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.

35 pages, 16 figures; version accepted for publication in JHEP

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Cited by in corpus (9)

• Quantum Annealing with chaotic driver Hamiltonians
• Pseudochaotic Many-Body Dynamics as a Pseudorandom State Generator
• Two-local modifications of SYK model with quantum chaos
• Detecting quantum chaos via pseudo-entropy
• Simulating sparse SYK model with a randomized algorithm on a trapped-ion quantum computer
• Complexity of Quadratic Quantum Chaos
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• Spin-liquid and spin-glass behavior in quantum spin models with all-to-all p-spin interactions
• Spectral statistics and energy-gap scaling in $k-$local spin Hamiltonians