{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IV7SFYIP3SQUDB5QKONOXOFULA","short_pith_number":"pith:IV7SFYIP","schema_version":"1.0","canonical_sha256":"457f22e10fdca14187b0539aebb8b4581c9e41d80f4d2520687f523b162a6742","source":{"kind":"arxiv","id":"1707.04135","version":2},"attestation_state":"computed","paper":{"title":"Heisenberg-Langevin vs. quantum master equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"quant-ph","authors_text":"Daniel Boyanovsky, David Jasnow","submitted_at":"2017-07-13T14:10:39Z","abstract_excerpt":"The quantum master equation is an important tool in the study of quantum open systems. It is often derived under a set of approximations, chief among them the Born (factorization) and Markov (neglect of memory effects) approximations. In this article we study the paradigmatic model of quantum Brownian motion of an harmonic oscillator coupled to a bath of oscillators with a Drude-Ohmic spectral density. We obtain analytically the \\emph{exact} solution of the Heisenberg-Langevin equations, with which we study correlation functions in the asymptotic stationary state. We compare the \\emph{exact} c"},"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":"1707.04135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-13T14:10:39Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"7265d7e99e272c8e5b9804ea50ab52206b29f952d081ed9b179800a50fb72452","abstract_canon_sha256":"6a6c4962a1e57edae1593ee349637d4ded174010659baaba2deb41ca57a34f7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:31.955612Z","signature_b64":"jx95LNmOAnrWk/iSeX9yrizRxxW+C5eiWTSb1EP5pKXmTEr2fBuUlS2VtSQvB0R1IhN86st4ZfeFxVzNYKXBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"457f22e10fdca14187b0539aebb8b4581c9e41d80f4d2520687f523b162a6742","last_reissued_at":"2026-05-18T00:28:31.954870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:31.954870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heisenberg-Langevin vs. quantum master equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"quant-ph","authors_text":"Daniel Boyanovsky, David Jasnow","submitted_at":"2017-07-13T14:10:39Z","abstract_excerpt":"The quantum master equation is an important tool in the study of quantum open systems. It is often derived under a set of approximations, chief among them the Born (factorization) and Markov (neglect of memory effects) approximations. In this article we study the paradigmatic model of quantum Brownian motion of an harmonic oscillator coupled to a bath of oscillators with a Drude-Ohmic spectral density. We obtain analytically the \\emph{exact} solution of the Heisenberg-Langevin equations, with which we study correlation functions in the asymptotic stationary state. We compare the \\emph{exact} c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04135","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":"1707.04135","created_at":"2026-05-18T00:28:31.954981+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.04135v2","created_at":"2026-05-18T00:28:31.954981+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04135","created_at":"2026-05-18T00:28:31.954981+00:00"},{"alias_kind":"pith_short_12","alias_value":"IV7SFYIP3SQU","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IV7SFYIP3SQUDB5Q","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IV7SFYIP","created_at":"2026-05-18T12:31:21.493067+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/IV7SFYIP3SQUDB5QKONOXOFULA","json":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA.json","graph_json":"https://pith.science/api/pith-number/IV7SFYIP3SQUDB5QKONOXOFULA/graph.json","events_json":"https://pith.science/api/pith-number/IV7SFYIP3SQUDB5QKONOXOFULA/events.json","paper":"https://pith.science/paper/IV7SFYIP"},"agent_actions":{"view_html":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA","download_json":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA.json","view_paper":"https://pith.science/paper/IV7SFYIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.04135&json=true","fetch_graph":"https://pith.science/api/pith-number/IV7SFYIP3SQUDB5QKONOXOFULA/graph.json","fetch_events":"https://pith.science/api/pith-number/IV7SFYIP3SQUDB5QKONOXOFULA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA/action/storage_attestation","attest_author":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA/action/author_attestation","sign_citation":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA/action/citation_signature","submit_replication":"https://pith.science/pith/IV7SFYIP3SQUDB5QKONOXOFULA/action/replication_record"}},"created_at":"2026-05-18T00:28:31.954981+00:00","updated_at":"2026-05-18T00:28:31.954981+00:00"}