Seminar
报 告 人：冼卓宇 博士（维尔茨堡大学）
主 持 人：凌意 研究员 （中科院高能所）
报告时间：2023年10月11日（周三），上午10:00
报告地点：图书馆楼319会议室
报告摘要：
The Krylov complexity measures the spread of the wavefunction in the Krylov basis, which is constructed using the Hamiltonian and an initial state. We investigate the evolution of the maximally entangled state in the Krylov basis for both chaotic and non-chaotic systems. Our findings suggest that neither the linear growth nor the saturation of Krylov complexity is necessarily associated with chaos. However, for chaotic systems, we observe a universal rise-slope-ramp-plateau behavior in the transition probability from the initial state to a Krylov basis, which is a characteristic of chaos in the spectrum of the Hamiltonian. Additionally, the long ramp in the transition probability is directly responsible for the late-time peak of Krylov complexity observed in previous literature. Our results help to clarify which features of the wave function time evolution in Krylov space characterize chaos.
个人简介:
冼卓宇，维尔茨堡大学博士后。华南理工大学本科，2018年于中国科学院高能物理研究所获得博士学位，随后在理论物理研究所做博士后。近年来研究引力全息、SYK模型和量子混沌。
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