{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:V2D3JGIAAYXK3MVGDY5H4GFIFB","short_pith_number":"pith:V2D3JGIA","schema_version":"1.0","canonical_sha256":"ae87b49900062eadb2a61e3a7e18a8287d9d228ce50e104c05f81b6c1b585aa3","source":{"kind":"arxiv","id":"0707.2096","version":1},"attestation_state":"computed","paper":{"title":"Non-Markovian dynamics of a qubit coupled to an Ising spin bath","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel A. Lidar (USC), Hari Krovi, Mikhail Ryazanov, Ognyan Oreshkov","submitted_at":"2007-07-13T21:19:44Z","abstract_excerpt":"We study the analytically solvable Ising model of a single qubit system coupled to a spin bath. The purpose of this study is to analyze and elucidate the performance of Markovian and non-Markovian master equations describing the dynamics of the system qubit, in comparison to the exact solution. We find that the time-convolutionless master equation performs particularly well up to fourth order in the system-bath coupling constant, in comparison to the Nakajima-Zwanzig master equation. Markovian approaches fare poorly due to the infinite bath correlation time in this model. A recently proposed p"},"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":"0707.2096","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-13T21:19:44Z","cross_cats_sorted":[],"title_canon_sha256":"2b278c7cc00a9001f451bd92d6560947891cebcf8fb6be15e64871469d690310","abstract_canon_sha256":"bb2c042dbbb51b8894718687299de437b2673170e5498c1b1970f53cd7943864"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:05:59.281503Z","signature_b64":"ftntRRWcIEXzgY2PGGomK3oYkL3u62Ekm2use34kNaNlG93IK6cx1bOiDCM1DlR/ysz9IIkVvujgyXedtCW6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae87b49900062eadb2a61e3a7e18a8287d9d228ce50e104c05f81b6c1b585aa3","last_reissued_at":"2026-07-04T15:05:59.281140Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:05:59.281140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Markovian dynamics of a qubit coupled to an Ising spin bath","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel A. Lidar (USC), Hari Krovi, Mikhail Ryazanov, Ognyan Oreshkov","submitted_at":"2007-07-13T21:19:44Z","abstract_excerpt":"We study the analytically solvable Ising model of a single qubit system coupled to a spin bath. The purpose of this study is to analyze and elucidate the performance of Markovian and non-Markovian master equations describing the dynamics of the system qubit, in comparison to the exact solution. We find that the time-convolutionless master equation performs particularly well up to fourth order in the system-bath coupling constant, in comparison to the Nakajima-Zwanzig master equation. Markovian approaches fare poorly due to the infinite bath correlation time in this model. A recently proposed p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.2096","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/0707.2096/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0707.2096","created_at":"2026-07-04T15:05:59.281203+00:00"},{"alias_kind":"arxiv_version","alias_value":"0707.2096v1","created_at":"2026-07-04T15:05:59.281203+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.2096","created_at":"2026-07-04T15:05:59.281203+00:00"},{"alias_kind":"pith_short_12","alias_value":"V2D3JGIAAYXK","created_at":"2026-07-04T15:05:59.281203+00:00"},{"alias_kind":"pith_short_16","alias_value":"V2D3JGIAAYXK3MVG","created_at":"2026-07-04T15:05:59.281203+00:00"},{"alias_kind":"pith_short_8","alias_value":"V2D3JGIA","created_at":"2026-07-04T15:05:59.281203+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/V2D3JGIAAYXK3MVGDY5H4GFIFB","json":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB.json","graph_json":"https://pith.science/api/pith-number/V2D3JGIAAYXK3MVGDY5H4GFIFB/graph.json","events_json":"https://pith.science/api/pith-number/V2D3JGIAAYXK3MVGDY5H4GFIFB/events.json","paper":"https://pith.science/paper/V2D3JGIA"},"agent_actions":{"view_html":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB","download_json":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB.json","view_paper":"https://pith.science/paper/V2D3JGIA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0707.2096&json=true","fetch_graph":"https://pith.science/api/pith-number/V2D3JGIAAYXK3MVGDY5H4GFIFB/graph.json","fetch_events":"https://pith.science/api/pith-number/V2D3JGIAAYXK3MVGDY5H4GFIFB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB/action/storage_attestation","attest_author":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB/action/author_attestation","sign_citation":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB/action/citation_signature","submit_replication":"https://pith.science/pith/V2D3JGIAAYXK3MVGDY5H4GFIFB/action/replication_record"}},"created_at":"2026-07-04T15:05:59.281203+00:00","updated_at":"2026-07-04T15:05:59.281203+00:00"}