Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
High Energy Physics - Theory
2022-12-28 v2
Abstract
In this work, we investigate the quantum chaos in various -deformed SYK models with finite , including the SYK, the supersymmetric SYK, and the SYK 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 SYK and SSYK 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 SYK model.
Keywords
Cite
@article{arxiv.2209.14936,
title = {Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models},
author = {Song He and Pak Hang Chris Lau and Zhuo-Yu Xian and Long Zhao},
journal= {arXiv preprint arXiv:2209.14936},
year = {2022}
}
Comments
37 pages, 13 figures, 2 tables; v2:Added an analysis about the level spacing distribution. Added an analytic calculation about the SFF. Added some references