Operator Delocalization in Quantum Networks
Quantum Physics
2022-01-26 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
We investigate the delocalization of operators in non-chaotic quantum systems whose interactions are encoded in an underlying graph or network. In particular, we study how fast operators of different sizes delocalize as the network connectivity is varied. We argue that these delocalization properties are well captured by Krylov complexity and show, numerically, that efficient delocalization of large operators can only happen within sufficiently connected network topologies. Finally, we demonstrate how this can be used to furnish a deeper understanding of the quantum charging advantage of a class of SYK-like quantum batteries.
Cite
@article{arxiv.2109.05301,
title = {Operator Delocalization in Quantum Networks},
author = {Joonho Kim and Jeff Murugan and Jan Olle and Dario Rosa},
journal= {arXiv preprint arXiv:2109.05301},
year = {2022}
}
Comments
Main document: 6 pages, 3 figures. Supplemental material: 8 pages, 3 figures