{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:14:34Z","timestamp":1760145274407,"version":"build-2065373602"},"reference-count":69,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,6,30]],"date-time":"2024-06-30T00:00:00Z","timestamp":1719705600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The multi-particle Arnol\u2019d cat is a generalization of the Hamiltonian system, both classical and quantum, whose period evolution operator is the renowned map that bears its name. It is obtained following the Joos\u2013Zeh prescription for decoherence by adding a number of scattering particles in the configuration space of the cat. Quantization follows swiftly if the Hamiltonian approach, rather than the semiclassical approach, is adopted. The author has studied this system in a series of previous works, focusing on the problem of quantum\u2013classical correspondence. In this paper, the dynamics of this system are tested by two related yet different indicators: the time autocorrelation function of the canonical position and the out-of-time correlator of position and momentum.<\/jats:p>","DOI":"10.3390\/e26070572","type":"journal-article","created":{"date-parts":[[2024,7,2]],"date-time":"2024-07-02T09:01:39Z","timestamp":1719910899000},"page":"572","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Behavior of Correlation Functions in the Dynamics of the Multiparticle Quantum Arnol\u2019d Cat"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9604-4283","authenticated-orcid":false,"given":"Giorgio","family":"Mantica","sequence":"first","affiliation":[{"name":"Center for Non-Linear and Complex Systems, Universit\u00e0 dell\u2019Insubria, Via Valleggio 11, 22100 Como, Italy"},{"name":"Istituto Nazionale di Alta Matematica \u201cF. Severi\u201d, GNFM Gruppo Nazionale per la Fisica Matematica, P. le Aldo Moro 5, 00185 Rome, Italy"},{"name":"I.N.F.N. Gruppo Collegato di Como, Sezione di Milano, Via Celoria 16, 20133 Milan, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,30]]},"reference":[{"key":"ref_1","unstructured":"Landau, L.D., and Lifshitz, E.L. (1958). Quantum Mechanics, Non Relativistic Theory, Pergamon Press."},{"key":"ref_2","first-page":"642","article-title":"The fundamental equations of quantum mechanics","volume":"109","author":"Dirac","year":"1926","journal-title":"Proc. Roy. Soc. A"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/0167-2789(91)90012-X","article-title":"The Arnol\u2019d cat: Failure of the correspondence principle","volume":"50","author":"Ford","year":"1991","journal-title":"Phys. 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