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There are recent extensive research activities on Sachdev-Ye-Kitaev (SYK) models and their possible quantum gravity duals in AdS space. In this colloquium, I will first introduce the two basic approaches to study quantum chaos and quantum information scramblings in SYK models and quantum black holes: Out of time ordered correlation (OTOC) functions to extract the quantum Lyapunov exponent and the Random Matrix Theory (RMT). Then using the two approaches, we review some of the recent progress in SYK models and their global impacts in various branches of physics such as quantum gravity, conformal field theory, condensed matter physics and quantum information science. Finally, we outline my group's recent works on (1) discover the periodic table of SYK and supersymmetric SYK models by RMT and hints its possible impacts on the bulk quantum gravity. (2) Establish some intrinsic connections between the two complementary approaches. Possible experimental realizations of SYK models are also briefly discussed.
References:
1. Jinwu Ye, Two indices Sachdev-Ye-Kitaev model, ArXiv：1809.0667, substantially revised version 2 to be put on ArXiv soon
2. Yu Yi-Xiang, Fadi Sun, Jinwu Ye and WuMing Liu, A new universal ratio in Random Matrix Theory and Random matrices and quantum analog of Kolmogorov-Arnold-Moser (KAM) theorem in hybrid Type-I and Type-II Sachdev-Ye-Kitaev models, ArXiv：1809.07577. Version 2.
3. Fadi Sun, Yu Yi-Xiang, Jinwu Ye and WuMing Liu, Classifications of quantum chaos in colored Sachdev-Ye-Kitaev models, Phys. Rev. D 101, 026009 (2020).
4. Fadi Sun and Jinwu Ye, Periodic Table of SYK and supersymmetric SYK, Phys. Rev. Lett. 124, 244101 (2020).
5. Yu Yi-Xiang, Jinwu Ye and CunLin Zhang, Photon Berry phases, Instantons, Quantum chaos and quantum analog of Kolmogorov-Arnold-Moser (KAM) theorem in the $ U(1)/Z_2 $ Dicke models, arXiv:1903.02947, Version 2
叶锦武教授是美国耶鲁大学理论物理博士。他现在是美国密西西比州立大学教授. 叶教授主要研究领域是强相互作用的电子, 玻色子, 自旋，光子等的合作现象和量子或拓扑相变理论,
他的研究还涉及超对称性破缺，共形场论和各种量子或拓扑相的量子引力对偶。
Prof. Jinwu Ye got his Ph. D. degree in Physics from Yale University in 1993. He is now a Professor from Mississippi State University.
His two most recent research directions are on
(1) Topological Phases, phase transitions driven by interactions in various spin-orbit coupled systems.
(2) Quantum chaos and quantum information scramblings in cavity QED systems or in Sachdev-Ye-Kitaev (SYK) models. Connections between SYK models and topological phases.
He is always keen on exploring new exciting research direction.
Venue: TDLI Meeting Room 200
Here is the Zoom link if you prefer to join us remotely:
https://zoom.com.cn/j/97837384256
Password: 943774