学术报告

学术活动

学术报告
10/12 2023 Seminar
  • Title题目 Quantum chaos and Krylov complexity
  • Speaker报告人 冼卓宇 (Julius-Maximilians-University of Würzburg)
  • Date日期 2023年10月12日(周四) 10:00-11:00
  • Venue地点 线下: 理论所南楼6620 线上: https://meeting.tencent.com/dm/Bf1Oi3LytSVH 腾讯会议: 161-204-889
  • Abstract摘要
    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 W rzburg. Recently, he is interested in holography, the SYK model, and quantum chaos.

    邀请人:
    王少江 副研究员
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