Abstract:

We will first review the recent progress in SYK models and their global impacts in quantum gravity, QCD, condensed matter physics, quantum information science and deep machine learning. Then we will outline the results achieved in our recent works in [1-5]. This colloquium is pedagogical, so should be accessible to any graduate students who are interested in working on this still rapidly expanding direction and other related directions such as many body localization (MBL), eigenstate thermalization hypothesis (ETH), Neural networks/Deep Machine learning, Complexity, etc.

References:

1.   Jinwu Ye,  Two indices  Sachdev-Ye-Kitaev model,  ArXiv：1809.0667, substantially revised version 2 to be put on ArXiv soon

2.   Fadi Sun, Yu Yi-Xiang, 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.

3.  Fadi Sun， Yu Yi-Xiang, Jinwu Ye and WuMing Liu, Classifications of quantum chaos in colored Sachdev-Ye-Kitaev models, arXiv:1903.02213.

4.  Fadi Sun and Jinwu Ye,  Periodic Table of SYK and supersymmetric SYK , arXiv:1905.07694

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

Short Bio:

葉錦武教授是美國耶魯大學理論物理博士。他現在是首都師范大學教授和美國密西西比州立大學教授. 葉教授主要研究領域是強相互作用的電子, 玻色子, 自旋，光子等的合作現象和量子或拓撲相變理論,

他的研究還涉及超對稱性破缺，共形場論和各種量子或拓撲相的量子引力對偶.