Geometry of Krylov complexity

We develop a geometric approach to operator growth and Krylov complexity in many-body quantum systems governed by symmetries. We start by showing a direct link between a unitary evolution with the Liouvillian and the displacement operator of appropriate generalized coherent states. This connection m...

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Bibliographic Details
Main Authors: Pawel Caputa, Javier M. Magan, Dimitrios Patramanis
Format: Article
Language:English
Published: American Physical Society 2022-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013041