Euclidean operator growth and quantum chaos

We consider growth of local operators under Euclidean time evolution in lattice systems with local interactions. We derive rigorous bounds on the operator norm growth and then proceed to establish an analog of the Lieb-Robinson bound for the spatial growth. In contrast to the Minkowski case when bal...

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Bibliographic Details
Main Authors: Alexander Avdoshkin, Anatoly Dymarsky
Format: Article
Language:English
Published: American Physical Society 2020-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043234