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Operator delocalization in quantum networks

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Title
Operator delocalization in quantum networks
Author(s)
Kim, Joonho; Murugan, Jeff; Olle, Jan; Dario Rosa
Publication Date
2022-01-11
Journal
Physical Review a, v.105, no.1
Publisher
AMER PHYSICAL SOC
Abstract
We investigate the delocalization of operators in nonchaotic 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 Sachdev-Ye-Kitaev (SYK)-like quantum batteries.
URI
https://pr.ibs.re.kr/handle/8788114/11205
DOI
10.1103/PhysRevA.105.L010201
ISSN
2469-9926
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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