{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KJ7ANP3PQYDQ3LJ2WI7XASTID3","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":"2cc985f8a21fbf007afb4d6635ebaf670fa417b10a718014e58ee4f81c3b0f33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-17T12:43:44Z","title_canon_sha256":"e5b549a3aa4ddb4fd245a3f1e9fa99486d033e20cc6b459810fd6b3b68c1681e"},"schema_version":"1.0","source":{"id":"1512.05562","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05562","created_at":"2026-05-18T00:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05562v1","created_at":"2026-05-18T00:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05562","created_at":"2026-05-18T00:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"KJ7ANP3PQYDQ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KJ7ANP3PQYDQ3LJ2","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KJ7ANP3P","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:942b1ebc7af1da49e699bfa51798546d9b8900c716bdd72e74abe2b8c053048d","target":"graph","created_at":"2026-05-18T00:56:46Z","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":"For a closed system with periodic driving, Floquet theorem tells that the time evolution operator can be written as $ U(t,0)\\equiv P(t)e^{\\frac{-i}{\\hbar}H_F t}$ with $P(t+T)=P(t)$, and $H_F$ is Hermitian and time-independent called Floquet Hamiltonian. In this work, we extend the Floquet theorem from closed systems to open systems described by a Lindblad master equation that is periodic in time. Lindbladian expansion in powers of $\\frac 1 \\omega$ is derived, where $\\omega$ is the driving frequency. Two examples are presented to illustrate the theory. We find that appropriate trace preserving ","authors_text":"C. M. Dai, X. X. Yi, Z. C. Shi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-17T12:43:44Z","title":"Floquet theorem for open systems and its applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05562","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:f7eb33ffe01fbbe8d46ae713cd72380edfa4622fe41f14f7c495cad11ae0a41a","target":"record","created_at":"2026-05-18T00:56:46Z","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":"2cc985f8a21fbf007afb4d6635ebaf670fa417b10a718014e58ee4f81c3b0f33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-17T12:43:44Z","title_canon_sha256":"e5b549a3aa4ddb4fd245a3f1e9fa99486d033e20cc6b459810fd6b3b68c1681e"},"schema_version":"1.0","source":{"id":"1512.05562","kind":"arxiv","version":1}},"canonical_sha256":"527e06bf6f86070dad3ab23f704a681efbeb365ba944811182638cbff0631783","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"527e06bf6f86070dad3ab23f704a681efbeb365ba944811182638cbff0631783","first_computed_at":"2026-05-18T00:56:46.540477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:46.540477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IYrnFeRcVrfl/EbnvJNVkzcJOUTIOusE4z6OxNxRa2rWlGdfgURR4c2MxJBCKPKg691NN4HcrAboIoR8UyqNBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:46.541075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05562","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7eb33ffe01fbbe8d46ae713cd72380edfa4622fe41f14f7c495cad11ae0a41a","sha256:942b1ebc7af1da49e699bfa51798546d9b8900c716bdd72e74abe2b8c053048d"],"state_sha256":"d7befd91558fc054e5599e273138e1e036b99f5701066a2f2520ff7cb9ac1fa8"}