报告题目: Quantum chaos and Krylov complexity
主讲人: 冼卓宇 博士 (维尔茨堡大学)
主持人: 张向东 教授
时间:  2023年10月19日(周四) 10:00
地点: 物理楼（18号楼）二楼213室 学术报告厅
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 物理与光电学院
  2023年10月16日 

内容提要:

Based on the evolution generated by a Hamiltonian, the Krylov complexity measures the spread of the wavefunction in the Hilbert space. In a chaotic system, the evolution of the Krylov complexity of a maximally entangled state (MES) exhibits linear growth-peak-saturation regions. Based on random matrix theories, we study the transition probability from the MES to the Krylov basis and find rise-slope-ramp-plateau behaviors. We explain why only the peak of Krylov complexity is related to chaos.  

报告人简介：

Zhuo-Yu Xian (冼卓宇) got his Ph.D. degree from the Institute of High Energy Physics (IHEP), Chinese Academy of Science (CAS) in 2018. After that, he worked as a postdoc at the Institute of Theoretical Physics (ITP), CAS, and the Julius-Maximilians-University of Würzburg. Recently, he is interested in holography, the SYK model, and quantum chaos.