{"paper":{"title":"Out-of-Time Ordered Correlator for a Chaotic Many-Body Quantum System","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Hans A. Weidenm\\\"uller","submitted_at":"2024-11-25T10:51:46Z","abstract_excerpt":"Using the parametric representation of a chaotic many-body\n  quantum system derived earlier, we calculate explicitly the\n  large-time dependence and asymptotic value of the out-of-time\n  correlator (OTOC) of that system. The dependence on time $t$ is\n  determined by $\\Delta t / \\hbar$. Here $\\Delta$ is the energy\n  correlation width within which the Bohigas-Giannoni-Schmit\n  conjecture applies. We conjecture that $\\Delta$ is universally\n  related to the leading Ljapunov coefficient of the corresponding\n  classical system by $\\Delta = \\hbar \\lambda_{\\max}$. Then the\n  large-time behavior of OTO"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16274","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.16274/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}