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報? 告 人：冼卓宇??博士（維爾茨堡大學）
主? 持 人：凌意? 研究員? （中科院高能所）
報告時間：2023年10月11日（周三），上午10:00
報告地點：圖書館樓319會議室
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報告摘要：
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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.
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個人簡介:?
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冼卓宇，維爾茨堡大學博士后。華南理工大學本科，2018年于中國科學院高能物理研究所獲得博士學位，隨后在理論物理研究所做博士后。近年來研究引力全息、SYK模型和量子混沌。
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