{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:LJGCXPBJMMGQI32Y7ULGYOW7PK","short_pith_number":"pith:LJGCXPBJ","schema_version":"1.0","canonical_sha256":"5a4c2bbc29630d046f58fd166c3adf7aae35a46a7b6c05d71fdefab901f69a0c","source":{"kind":"arxiv","id":"quant-ph/0612042","version":1},"attestation_state":"computed","paper":{"title":"Quantum dynamics of the dissipative two-state system coupled with a sub-Ohmic bath","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hang Zheng, Zhiguo L\\\"u","submitted_at":"2006-12-06T12:35:14Z","abstract_excerpt":"The decoherence of a two-state system coupled with a sub-Ohmic bath is investigated theoretically by means of the perturbation approach based on a unitary transformation. It is shown that the decoherence depends strongly and sensitively on the structure of environment. Nonadiabatic effect is treated through the introduction of a function $\\xi_k$ which depends on the boson frequency and renormalized tunneling. The results are as follows:(1) the non-equilibrium correlation function $P(t)$, the dynamical susceptibility $\\chi''(\\omega)$ and the equilibrium correlation function $C(t)$ are analytica"},"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":"quant-ph/0612042","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-12-06T12:35:14Z","cross_cats_sorted":[],"title_canon_sha256":"e940aeee31c7838e27d0dba014db1dd7f497bfbee3449ed6b89da4d80bc6189f","abstract_canon_sha256":"7b245f4a7ca6b2de33d9e3e80c681faf4c3f483ffff79e93d1d8fb9caebbf927"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:42.375426Z","signature_b64":"SJ2O0hHnBHrDSBCbyLWWXDOPG5Qk0t3nwzl8rZLwLzKC/4h2o6CvrVCrM2cYSQ1DYHWfXBLRkLbvOZyFRgzWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a4c2bbc29630d046f58fd166c3adf7aae35a46a7b6c05d71fdefab901f69a0c","last_reissued_at":"2026-05-18T00:40:42.374734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:42.374734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum dynamics of the dissipative two-state system coupled with a sub-Ohmic bath","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hang Zheng, Zhiguo L\\\"u","submitted_at":"2006-12-06T12:35:14Z","abstract_excerpt":"The decoherence of a two-state system coupled with a sub-Ohmic bath is investigated theoretically by means of the perturbation approach based on a unitary transformation. It is shown that the decoherence depends strongly and sensitively on the structure of environment. Nonadiabatic effect is treated through the introduction of a function $\\xi_k$ which depends on the boson frequency and renormalized tunneling. The results are as follows:(1) the non-equilibrium correlation function $P(t)$, the dynamical susceptibility $\\chi''(\\omega)$ and the equilibrium correlation function $C(t)$ are analytica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0612042","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":"quant-ph/0612042","created_at":"2026-05-18T00:40:42.374829+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0612042v1","created_at":"2026-05-18T00:40:42.374829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0612042","created_at":"2026-05-18T00:40:42.374829+00:00"},{"alias_kind":"pith_short_12","alias_value":"LJGCXPBJMMGQ","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"LJGCXPBJMMGQI32Y","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"LJGCXPBJ","created_at":"2026-05-18T12:25:54.717736+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/LJGCXPBJMMGQI32Y7ULGYOW7PK","json":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK.json","graph_json":"https://pith.science/api/pith-number/LJGCXPBJMMGQI32Y7ULGYOW7PK/graph.json","events_json":"https://pith.science/api/pith-number/LJGCXPBJMMGQI32Y7ULGYOW7PK/events.json","paper":"https://pith.science/paper/LJGCXPBJ"},"agent_actions":{"view_html":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK","download_json":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK.json","view_paper":"https://pith.science/paper/LJGCXPBJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0612042&json=true","fetch_graph":"https://pith.science/api/pith-number/LJGCXPBJMMGQI32Y7ULGYOW7PK/graph.json","fetch_events":"https://pith.science/api/pith-number/LJGCXPBJMMGQI32Y7ULGYOW7PK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK/action/storage_attestation","attest_author":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK/action/author_attestation","sign_citation":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK/action/citation_signature","submit_replication":"https://pith.science/pith/LJGCXPBJMMGQI32Y7ULGYOW7PK/action/replication_record"}},"created_at":"2026-05-18T00:40:42.374829+00:00","updated_at":"2026-05-18T00:40:42.374829+00:00"}