{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:01:14Z","timestamp":1760234474701,"version":"build-2065373602"},"reference-count":81,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,5,10]],"date-time":"2021-05-10T00:00:00Z","timestamp":1620604800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"NSF grant","award":["PHY-1911298"],"award-info":[{"award-number":["PHY-1911298"]}]},{"name":"KIAS Individual Grant","award":["PG059602"],"award-info":[{"award-number":["PG059602"]}]},{"DOI":"10.13039\/501100010446","name":"Institute for Basic Science","doi-asserted-by":"publisher","award":["IBS-R024-D1"],"award-info":[{"award-number":["IBS-R024-D1"]}],"id":[{"id":"10.13039\/501100010446","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/e23050587","type":"journal-article","created":{"date-parts":[[2021,5,10]],"date-time":"2021-05-10T10:49:51Z","timestamp":1620643791000},"page":"587","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Unveiling Operator Growth Using Spin Correlation Functions"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1956-7715","authenticated-orcid":false,"given":"Matteo","family":"Carrega","sequence":"first","affiliation":[{"name":"NEST, Istituto Nanoscienze\u2014CNR and Scuola Normale Superiore, I-56127 Pisa, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5408-3572","authenticated-orcid":false,"given":"Joonho","family":"Kim","sequence":"additional","affiliation":[{"name":"Institute for Advanced Study, Princeton, NJ 08540, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9747-1033","authenticated-orcid":false,"given":"Dario","family":"Rosa","sequence":"additional","affiliation":[{"name":"School of Physics, Korea Institute for Advanced Study, 85 Hoegiro Dongdaemun-gu, Seoul 02455, Korea"},{"name":"Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Expo-ro 55, Yuseong-gu, Daejeon 34126, Korea"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"782","DOI":"10.1038\/nature05678","article-title":"Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems","volume":"446","author":"Engel","year":"2007","journal-title":"Nature"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"022714","DOI":"10.1103\/PhysRevE.91.022714","article-title":"Photoactivated biological processes as quantum measurements","volume":"91","author":"Imamoglu","year":"2015","journal-title":"Phys. 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