%0 Journal Article %1 He2022 %A He, Song %A Lau, Pak Hang Chris %A Xian, Zhuo-Yu %A Zhao, Long %D 2022 %J J. High Energy Phys. %K a b %N 12 %P 70 %R 10.1007/JHEP12(2022)070 %T Quantum chaos, scrambling and operator growth in $\vphantomoverlineT$$T$ deformed SYK models %U https://doi.org/10.1007/JHEP12(2022)070 %V 2022 %X In this work, we investigate the quantum chaos in various \$\$ T\backslashoverline\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.

@article{He2022, abstract = {In this work, we investigate the quantum chaos in various {\$}{\$} T{\backslash}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.}, added-at = {2023-11-22T16:50:10.000+0100}, author = {He, Song and Lau, Pak Hang Chris and Xian, Zhuo-Yu and Zhao, Long}, biburl = {https://www.bibsonomy.org/bibtex/247a29452788e56d3295f93eb2bba5c1f/ctqmat}, day = 13, description = {Quantum chaos, scrambling and operator growth in $$ T\overline{T} $$ deformed SYK models | Journal of High Energy Physics}, doi = {10.1007/JHEP12(2022)070}, interhash = {801b6f85bf8f6650e63e1ce9c9ae67f2}, intrahash = {47a29452788e56d3295f93eb2bba5c1f}, issn = {1029-8479}, journal = {J. High Energy Phys.}, keywords = {a b}, month = {12}, number = 12, pages = 70, timestamp = {2023-11-23T12:57:34.000+0100}, title = {Quantum chaos, scrambling and operator growth in $\mathbf{\vphantom{overline}T}$$\mathbf {\overline {T}}$ deformed SYK models}, url = {https://doi.org/10.1007/JHEP12(2022)070}, volume = 2022, year = 2022 }