The growth of operator entropy in operator growth

Abstract We study upper bounds on the growth of operator entropy S K in operator growth. Using uncertainty relation, we first prove a dispersion bound on the growth rate |∂ t S K | ≤ 2b 1∆S K , where b 1 is the first Lanczos coefficient and ∆S K is the variance of S K . However, for irreversible pro...

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Bibliographic Details
Main Author: Zhong-Ying Fan
Format: Article
Language:English
Published: SpringerOpen 2022-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2022)232