001 Physics and Mathematics of the Sachdev-Ye-Kitaev model

2021-06-16 13:45:24


地点云栖校区4号楼311会议室/Room 311



报告题目Quantum Chaos, Black holes and Sachdev-Ye-Kitaev (SYK) models


There are recent extensive research activities on Sachdev-Ye-Kitaev (SYK) models and their possible quantum gravity duals in AdS space.

In the first part of the talk, I will 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.

In the second part of the talk, 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.

(3) If time permitted, I will also outline a possible quantum version of Kolmogorov-Arnold-Moser (KAM) theorem in hybrid Type-I and Type-II Sachdev-Ye-Kitaev models or a Dicke model in quantum optics.

Possible experimental realizations of SYK models are also briefly discussed.



报告题目AdS/CFT Correspondence: Review and Recent Progress


Since its establishment in mid-90's, the AdS/CFT correspondence has played an important role in theoretical physics. It unveils a profound connection between quantum field theories on the boundary and gravity theories in the bulk of AdS spaces. We will start with a brief history of the AdS/CFT correspondence by reviewing its basic ideas, some important applications and relations with mathematics.

After 20 years' fruitful developments, recently the AdS/CFT correspondence found new applications in black hole physics. In particular, one can compute the Bekenstein-Hawking entropy of supersymmetric extremal (BPS) AdS black holes from boundary field theory. This new approach can be viewed as counting the microstates of black holes, which is the first step towards resolving the information paradox and consistently quantizing gravity. Beyond the extremal AdS black holes at zero temperature, the AdS/CFT correspondence can also be applied to near-extremal rotating AdS black holes with small temperatures. This makes it possible to set up a microscopic description of Hawking radiation for near-extremal black holes. In this talk we will discuss in detail the aspects mentioned above.