{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4M5OMGNE6LLNTY62Z2Z37Z37AC","short_pith_number":"pith:4M5OMGNE","schema_version":"1.0","canonical_sha256":"e33ae619a4f2d6d9e3daceb3bfe77f00ad8ca7bf2b12613f5d0017ae74d052cd","source":{"kind":"arxiv","id":"1709.00427","version":2},"attestation_state":"computed","paper":{"title":"Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Eugenio Bianchi, Lucas Hackl, Nelson Yokomizo","submitted_at":"2017-09-01T18:01:12Z","abstract_excerpt":"The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate $h_{\\mathrm{KS}}$ given by the sum of all positive Lyapunov exponents of the system. We prove a quantum version of this result valid for bosonic systems with unstable quadratic Hamiltonian. The derivation takes into account the case of time-dependent Hamiltonians with Floquet instabilities. We show that the entanglement entropy $S_A$ of a Gaussian state grows linearly for large times in unstable systems, with a rate $\\Lambda_A \\leq h_{KS}$ determined by the Lyapunov exponents an"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1709.00427","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-01T18:01:12Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","quant-ph"],"title_canon_sha256":"b6f6243f227020454ced0e3d4da952cb1557d4b80637f4a684bea467a6216f5e","abstract_canon_sha256":"23f2abd177c65df5c4b0950a2d3aa113d6dbcb4e5608beaa35db71ce2c07f01a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:04.744484Z","signature_b64":"LiEdsVS94bk/w+FV68CZGx3UmdocT12TgnGbYoueJkHqEvyoH5GvRqlJ0xXAl1mIcFdP8+/+dX7px0NyJQPlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e33ae619a4f2d6d9e3daceb3bfe77f00ad8ca7bf2b12613f5d0017ae74d052cd","last_reissued_at":"2026-05-18T00:21:04.743801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:04.743801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Eugenio Bianchi, Lucas Hackl, Nelson Yokomizo","submitted_at":"2017-09-01T18:01:12Z","abstract_excerpt":"The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate $h_{\\mathrm{KS}}$ given by the sum of all positive Lyapunov exponents of the system. We prove a quantum version of this result valid for bosonic systems with unstable quadratic Hamiltonian. The derivation takes into account the case of time-dependent Hamiltonians with Floquet instabilities. We show that the entanglement entropy $S_A$ of a Gaussian state grows linearly for large times in unstable systems, with a rate $\\Lambda_A \\leq h_{KS}$ determined by the Lyapunov exponents an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00427","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1709.00427","created_at":"2026-05-18T00:21:04.743907+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.00427v2","created_at":"2026-05-18T00:21:04.743907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00427","created_at":"2026-05-18T00:21:04.743907+00:00"},{"alias_kind":"pith_short_12","alias_value":"4M5OMGNE6LLN","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4M5OMGNE6LLNTY62","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4M5OMGNE","created_at":"2026-05-18T12:31:00.734936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC","json":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC.json","graph_json":"https://pith.science/api/pith-number/4M5OMGNE6LLNTY62Z2Z37Z37AC/graph.json","events_json":"https://pith.science/api/pith-number/4M5OMGNE6LLNTY62Z2Z37Z37AC/events.json","paper":"https://pith.science/paper/4M5OMGNE"},"agent_actions":{"view_html":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC","download_json":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC.json","view_paper":"https://pith.science/paper/4M5OMGNE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.00427&json=true","fetch_graph":"https://pith.science/api/pith-number/4M5OMGNE6LLNTY62Z2Z37Z37AC/graph.json","fetch_events":"https://pith.science/api/pith-number/4M5OMGNE6LLNTY62Z2Z37Z37AC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC/action/storage_attestation","attest_author":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC/action/author_attestation","sign_citation":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC/action/citation_signature","submit_replication":"https://pith.science/pith/4M5OMGNE6LLNTY62Z2Z37Z37AC/action/replication_record"}},"created_at":"2026-05-18T00:21:04.743907+00:00","updated_at":"2026-05-18T00:21:04.743907+00:00"}