{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5LTMLG5OEF63B5WVXPQPTLXEEU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6a9222115e3aa1e2e11b9394a6034cb0a4c1efe3eebb91e966d88be3b9640b69","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-25T09:55:10Z","title_canon_sha256":"c5da62f34d9c4159f4ef736ab6be0043aef41d9d625c8415e54b5475ecd1b475"},"schema_version":"1.0","source":{"id":"1310.1236","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1236","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1236v1","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1236","created_at":"2026-05-18T03:11:23Z"},{"alias_kind":"pith_short_12","alias_value":"5LTMLG5OEF63","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5LTMLG5OEF63B5WV","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5LTMLG5O","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:3678c7763f51d12739b01aa0c8d33b207a2c52757acd633b290569115afdda4b","target":"graph","created_at":"2026-05-18T03:11:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the bath dynamics in the dephasing model of a two-state quantum system (qubit) coupled to an environment of harmonic oscillators. This model was shown [Morozov et al., Phys. Rev. A, 2012, 85, 022101] to admit the analytic solution for the qubit and environment dynamics. Using this solution, we derive the exact expression for the bath reduced density matrix in the presence of initial qubit-environment correlations. We obtain the non-equilibrium phonon distribution function and discuss in detail the time behavior of the bath energy. It is shown that only the inclusion of dynamic correla","authors_text":"V.G. Morozov, V.V. Ignatyuk","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-25T09:55:10Z","title":"Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1236","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9939fb718a70af79473500cd36b5736d09221d96ee13fdc021c210a890826fe6","target":"record","created_at":"2026-05-18T03:11:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6a9222115e3aa1e2e11b9394a6034cb0a4c1efe3eebb91e966d88be3b9640b69","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-25T09:55:10Z","title_canon_sha256":"c5da62f34d9c4159f4ef736ab6be0043aef41d9d625c8415e54b5475ecd1b475"},"schema_version":"1.0","source":{"id":"1310.1236","kind":"arxiv","version":1}},"canonical_sha256":"eae6c59bae217db0f6d5bbe0f9aee42502681e39e6a4e3a4f99ac57aeb66389a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eae6c59bae217db0f6d5bbe0f9aee42502681e39e6a4e3a4f99ac57aeb66389a","first_computed_at":"2026-05-18T03:11:23.161021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:23.161021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+11nLon7HQBUbVwhBmjCmalEZQbCmDp/ANmk9Lt1Q3jpjuuDslqTRbwTpFg1pd/+p56XAlFWKv+watT4YNkYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:23.161627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1236","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9939fb718a70af79473500cd36b5736d09221d96ee13fdc021c210a890826fe6","sha256:3678c7763f51d12739b01aa0c8d33b207a2c52757acd633b290569115afdda4b"],"state_sha256":"383da0387d650d94ce24eb30d2933f918f4194b796cf9ddf7d9893c4f87370c1"}