{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T22:46:34Z","timestamp":1780613194793,"version":"3.54.1"},"reference-count":52,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,12,28]],"date-time":"2022-12-28T00:00:00Z","timestamp":1672185600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001459","name":"Ministry of Education Singapore","doi-asserted-by":"publisher","award":["T2EP50120-0041"],"award-info":[{"award-number":["T2EP50120-0041"]}],"id":[{"id":"10.13039\/501100001459","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>OTOC has been used to characterize the information scrambling in quantum systems. Recent studies have shown that local conserved quantities play a crucial role in governing the relaxation dynamics of OTOC in non-integrable systems. In particular, the slow scrambling of OTOC is seen for observables that have an overlap with local conserved quantities. However, an observable may not overlap with the Hamiltonian but instead with the Hamiltonian elevated to an exponent larger than one. Here, we show that higher exponents correspond to faster relaxation, although still algebraic, and such exponents can increase indefinitely. Our analytical results are supported by numerical experiments.<\/jats:p>","DOI":"10.3390\/e25010059","type":"journal-article","created":{"date-parts":[[2022,12,29]],"date-time":"2022-12-29T02:56:50Z","timestamp":1672282610000},"page":"59","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Relaxation Exponents of OTOCs and Overlap with Local Hamiltonians"],"prefix":"10.3390","volume":"25","author":[{"given":"Vinitha","family":"Balachandran","sequence":"first","affiliation":[{"name":"Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5626-0176","authenticated-orcid":false,"given":"Dario","family":"Poletti","sequence":"additional","affiliation":[{"name":"Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore"},{"name":"EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore"},{"name":"MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore 117543, Singapore"},{"name":"Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Singapore"},{"name":"The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"253","DOI":"10.4310\/ATMP.1998.v2.n2.a2","article-title":"Anti-de Sitter space and holography","volume":"2","author":"Witten","year":"1998","journal-title":"Adv. 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