Abstract
In this work, we investigate the quantum chaos in various \( T\overline{T} \)-deformed SYK models with finite N, including the SYK4, the supersymmetric SYK4, and the SYK2 models. We numerically study the evolution of the spectral form factor (SFF), the out-of-time ordered correlator (OTOC), and the Krylov complexity. We find that the characteristic evolution of the SFF, OTOC and K-complexity of both the SYK4 and SSYK4 models remains unchanged under the deformation, which implies that the properties of quantum chaos is preserved. We also identify a many-body localization behavior in the deformed SYK2 model.
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He, S., Lau, P.H.C., Xian, ZY. et al. Quantum chaos, scrambling and operator growth in \( T\overline{T} \) deformed SYK models. J. High Energ. Phys. 2022, 70 (2022). https://doi.org/10.1007/JHEP12(2022)070
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DOI: https://doi.org/10.1007/JHEP12(2022)070