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Open Quantum Systems Decoherence
Quantum Simulation
Integrability of a family of clean SYK models from the critical Ising chain
arXiv
Authors: Kohei Fukai, Hosho Katsura
Year
2025
Paper ID
17604
Status
Preprint
Abstract Read
~2 min
Abstract Words
75
Citations
N/A
Abstract
We establish the integrability of a family of Sachdev-Ye-Kitaev (SYK) models with uniform p-body interactions. We derive the R-matrix and mutually commuting transfer matrices that generate the Hamiltonians of these models, and obtain their exact eigenspectra and eigenstates. Remarkably, the R-matrix is that of the critical transverse-field Ising chain. This work reveals an unexpected connection between the SYK model, central to many-body quantum chaos, and the critical Ising chain, a cornerstone of statistical mechanics.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We establish the integrability of a family of Sachdev-Ye-Kitaev (SYK) models with uniform p-body interactions.
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