{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2C2TELFH5UP5S7Q2ULSVKUXOK6","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":"87c8cc7917b430d0993d79d305044c7a1c5186e9d931765079b320283234db86","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-12T06:53:32Z","title_canon_sha256":"2333cef8cf0f4f876bcff2572991644515a9a60e391b6df8b448114d52124467"},"schema_version":"1.0","source":{"id":"1803.04411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.04411","created_at":"2026-05-18T00:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"1803.04411v2","created_at":"2026-05-18T00:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04411","created_at":"2026-05-18T00:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"2C2TELFH5UP5","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2C2TELFH5UP5S7Q2","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2C2TELFH","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:a64305cb9aae786efcef2024754ef909bdcac153ef08b13f612d6448cd3a7efb","target":"graph","created_at":"2026-05-18T00:10:02Z","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 develop a theoretical description of non-Hermitian time evolution that accounts for the break- down of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigen-energies as well as inter-band Berry connections calculated using basis sets from appropriately-chosen Schur decompositions. Using a two-level system as an example, we show that our theory accurately captures the phenomenon of \"sudden transitions\", where the system state abruptly jumps from one eigenstate to another.","authors_text":"Hailong Wang, Li-Jun Lang, Y. D. Chong","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-12T06:53:32Z","title":"Non-Hermitian dynamics of slowly-varying Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04411","kind":"arxiv","version":2},"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":"sha256:0ac5cc4f28eef914ac1267cec2dacc96356266ed30ca7e8d8234041720752362","target":"record","created_at":"2026-05-18T00:10:02Z","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":"87c8cc7917b430d0993d79d305044c7a1c5186e9d931765079b320283234db86","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-12T06:53:32Z","title_canon_sha256":"2333cef8cf0f4f876bcff2572991644515a9a60e391b6df8b448114d52124467"},"schema_version":"1.0","source":{"id":"1803.04411","kind":"arxiv","version":2}},"canonical_sha256":"d0b5322ca7ed1fd97e1aa2e55552ee578e5603ad4a1ae4ade9c386b7214960a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0b5322ca7ed1fd97e1aa2e55552ee578e5603ad4a1ae4ade9c386b7214960a7","first_computed_at":"2026-05-18T00:10:02.495917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:02.495917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MkKOLx41RnVnnROOUZr9VmkDOLWNndMbw3o1MPmAqbHVO4HyVABlxnKMF8IXcKTE0s6CyTejlD3J950VcLP0Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:02.496636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.04411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ac5cc4f28eef914ac1267cec2dacc96356266ed30ca7e8d8234041720752362","sha256:a64305cb9aae786efcef2024754ef909bdcac153ef08b13f612d6448cd3a7efb"],"state_sha256":"f41bf3225125fd214c27743710f13442b2c23c696ea87c400b916bcf41537b44"}