{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:Z6WHUPPRW2A5HVWW2DKUM6DY4D","short_pith_number":"pith:Z6WHUPPR","schema_version":"1.0","canonical_sha256":"cfac7a3df1b681d3d6d6d0d5467878e0cd72500dbbf364552774ca3a878df587","source":{"kind":"arxiv","id":"1005.1604","version":1},"attestation_state":"computed","paper":{"title":"Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Andrea Smirne, Bassano Vacchini","submitted_at":"2010-05-10T16:34:17Z","abstract_excerpt":"We consider the exact reduced dynamics of a two-level system coupled to a bosonic reservoir, further obtaining the exact time-convolutionless and Nakajima-Zwanzig non-Markovian equations of motion. The considered system includes the damped and undamped Jaynes-Cummings model. The result is obtained by exploiting an expression of quantum maps in terms of matrices and a simple relation between the time evolution map and time-convolutionless generator as well as Nakajima-Zwanzig memory kernel. This non-perturbative treatment shows that each operator contribution in Lindblad form appearing in the e"},"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":"1005.1604","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-05-10T16:34:17Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"76971b578b2167f0729210205ebb6c3cb7fc6432ae42ad4509aa21bdc78b32b2","abstract_canon_sha256":"245bb583935ff1bc3fb715fc1f92c4988c2e978e81f8dd773ab95a5187da399b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:59.163386Z","signature_b64":"Vvvpmwg94W6U1dw3eMgySefV6NlOJkqz+h3BxQ2W/cDHOl+DlTrfyjixTG0WAf3QecbxALNNvY4B+8im8yIsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfac7a3df1b681d3d6d6d0d5467878e0cd72500dbbf364552774ca3a878df587","last_reissued_at":"2026-05-18T04:38:59.162917Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:59.162917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Andrea Smirne, Bassano Vacchini","submitted_at":"2010-05-10T16:34:17Z","abstract_excerpt":"We consider the exact reduced dynamics of a two-level system coupled to a bosonic reservoir, further obtaining the exact time-convolutionless and Nakajima-Zwanzig non-Markovian equations of motion. The considered system includes the damped and undamped Jaynes-Cummings model. The result is obtained by exploiting an expression of quantum maps in terms of matrices and a simple relation between the time evolution map and time-convolutionless generator as well as Nakajima-Zwanzig memory kernel. This non-perturbative treatment shows that each operator contribution in Lindblad form appearing in the e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.1604","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":""},"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":"1005.1604","created_at":"2026-05-18T04:38:59.162995+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.1604v1","created_at":"2026-05-18T04:38:59.162995+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.1604","created_at":"2026-05-18T04:38:59.162995+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z6WHUPPRW2A5","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z6WHUPPRW2A5HVWW","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z6WHUPPR","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.19657","citing_title":"Universal bound on the Lyapunov spectrum of quantum master equations","ref_index":45,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D","json":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D.json","graph_json":"https://pith.science/api/pith-number/Z6WHUPPRW2A5HVWW2DKUM6DY4D/graph.json","events_json":"https://pith.science/api/pith-number/Z6WHUPPRW2A5HVWW2DKUM6DY4D/events.json","paper":"https://pith.science/paper/Z6WHUPPR"},"agent_actions":{"view_html":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D","download_json":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D.json","view_paper":"https://pith.science/paper/Z6WHUPPR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.1604&json=true","fetch_graph":"https://pith.science/api/pith-number/Z6WHUPPRW2A5HVWW2DKUM6DY4D/graph.json","fetch_events":"https://pith.science/api/pith-number/Z6WHUPPRW2A5HVWW2DKUM6DY4D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D/action/storage_attestation","attest_author":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D/action/author_attestation","sign_citation":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D/action/citation_signature","submit_replication":"https://pith.science/pith/Z6WHUPPRW2A5HVWW2DKUM6DY4D/action/replication_record"}},"created_at":"2026-05-18T04:38:59.162995+00:00","updated_at":"2026-05-18T04:38:59.162995+00:00"}