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Unveiling operator growth using spin correlation functions

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Title
Unveiling operator growth using spin correlation functions
Author(s)
Carrega, Matteo; Kim, Joonho; Dario Rosa
Publication Date
2021-05
Journal
Entropy, v.23, no.5
Publisher
MDPI AG
Abstract
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.In this paper, we study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK)-based quench protocol, we show that the time evolution of simple spin-spin correlation functions is highly sensitive to the degree of k-locality of the corresponding operators, once an appropriate set of fundamental fields is identified. By tracking the time-evolution of specific spin-spin correlation functions and their decay, we argue that it is possible to distinguish between operator-hopping and operator growth dynamics; the latter being a hallmark of quantum chaos in many-body quantum systems. Such an observation, in turn, could constitute a promising tool to probe the emergence of chaotic behavior, rather accessible in state-of-the-art quench setups.
URI
https://pr.ibs.re.kr/handle/8788114/9887
DOI
10.3390/e23050587
ISSN
1099-4300
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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