{"paper":{"title":"Planckian bound on quantum dynamical entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Monitoring thermal fluctuations in many-body quantum systems yields an entropy growth rate bounded by a universal Planckian value.","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Xiangyu Cao","submitted_at":"2025-07-28T15:09:57Z","abstract_excerpt":"We introduce a simplified version of Connes-Narnhofer-Thirring's quantum dynamical entropy for quantum systems. It quantifies the amount of information gained about the initial condition from continuously monitoring an observable. A nonzero entropy growth rate can be obtained by monitoring the thermal fluctuation of an extensive observable in a generic many-body system, away from classical or large $N$ limits. We explicitly compute the entropy rate in the thermodynamic and long-time limit, in terms of the two-point correlation functions. We conjecture a universal Planckian bound for the entrop"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We conjecture a universal Planckian bound for the entropy rate.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The entropy rate computation and bound conjecture rely on taking the thermodynamic limit and long-time limit for a generic many-body system whose thermal fluctuations of an extensive observable produce nonzero information gain away from classical or large-N regimes.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A simplified version of quantum dynamical entropy is introduced, its growth rate is computed from correlation functions in the thermodynamic limit, and a Planckian bound on the rate is conjectured.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Monitoring thermal fluctuations in many-body quantum systems yields an entropy growth rate bounded by a universal Planckian value.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b05082cdf9ec02bad0839dafde901b2d96b0cce5476fb72104ce68d681361f2e"},"source":{"id":"2507.20914","kind":"arxiv","version":4},"verdict":{"id":"2e233c4f-6ccb-4a81-80e3-13c75ee21e39","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T02:33:44.404032Z","strongest_claim":"We conjecture a universal Planckian bound for the entropy rate.","one_line_summary":"A simplified version of quantum dynamical entropy is introduced, its growth rate is computed from correlation functions in the thermodynamic limit, and a Planckian bound on the rate is conjectured.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The entropy rate computation and bound conjecture rely on taking the thermodynamic limit and long-time limit for a generic many-body system whose thermal fluctuations of an extensive observable produce nonzero information gain away from classical or large-N regimes.","pith_extraction_headline":"Monitoring thermal fluctuations in many-body quantum systems yields an entropy growth rate bounded by a universal Planckian value."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.20914/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":88,"sample":[{"doi":"","year":1958,"title":"A. N. Kolmogorov, A new metric invariant of tran- sient dynamical systems and automorphisms in lebesgue spaces, Dokl. Akad. Nauk SSSR (1958)","work_id":"0da6fdb8-d146-4588-8c21-a6c5c428278b","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1959,"title":"Y. G. Sinai, On the notion of entropy of a dynamical system, in Dokl. Akad. Nauk SSSR , Vol. 124 (1959) pp. 768–771","work_id":"93093a22-c0c2-400f-8d07-56781100731a","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2034,"title":"Y. G. Sinai, Kolmogorov-sinai entropy, Scholarpedia 4, 2034 (2009)","work_id":"06c5be7e-2565-4f9f-b89c-bdd034475226","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2000,"title":"Walters, An introduction to ergodic theory , Vol","work_id":"76211c20-371c-47d4-98e9-342e1d42d6d9","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2008,"title":"B. Hasselblatt and Y. 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