{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SJ523XL54WTCMEIBR5HQHX3QXU","short_pith_number":"pith:SJ523XL5","schema_version":"1.0","canonical_sha256":"927baddd7de5a62611018f4f03df70bd06e9db089f1963fa0575875937a4f21d","source":{"kind":"arxiv","id":"1103.1130","version":5},"attestation_state":"computed","paper":{"title":"Periodic excitations of bilinear quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math-ph","math.AP","math.MP","quant-ph"],"primary_cat":"math.OC","authors_text":"Iecn), Thomas Chambrion (INRIA Lorraine / IECN / MMAS","submitted_at":"2011-03-06T15:28:39Z","abstract_excerpt":"A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional quantum systems, the classical theory of averaging provides a rigorous explanation of this experimentally validated result. This paper extends this finite dimensional result, known as the Rotating Wave Approximation, to infinite dimensional systems and provides explicit convergence estimates."},"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":"1103.1130","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-06T15:28:39Z","cross_cats_sorted":["cs.SY","math-ph","math.AP","math.MP","quant-ph"],"title_canon_sha256":"0badfb8a6456da6d67616408f07703ce4ae3cc998ca8578320e769addbf85757","abstract_canon_sha256":"411e46d36d2f01c9f5a287e862f7269aed22a255812d40985150c02f8f36af33"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:01.213348Z","signature_b64":"7o3ckJrrKgzDaN5plAVgfkLebs4LXt5vQga9UcvpX2ceZ5RyRSsS006vcoG2CNELvsaWmZP3iyFGxXwKsK+TBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"927baddd7de5a62611018f4f03df70bd06e9db089f1963fa0575875937a4f21d","last_reissued_at":"2026-05-18T03:49:01.212619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:01.212619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic excitations of bilinear quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math-ph","math.AP","math.MP","quant-ph"],"primary_cat":"math.OC","authors_text":"Iecn), Thomas Chambrion (INRIA Lorraine / IECN / MMAS","submitted_at":"2011-03-06T15:28:39Z","abstract_excerpt":"A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional quantum systems, the classical theory of averaging provides a rigorous explanation of this experimentally validated result. This paper extends this finite dimensional result, known as the Rotating Wave Approximation, to infinite dimensional systems and provides explicit convergence estimates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1130","kind":"arxiv","version":5},"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":"1103.1130","created_at":"2026-05-18T03:49:01.212742+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.1130v5","created_at":"2026-05-18T03:49:01.212742+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1130","created_at":"2026-05-18T03:49:01.212742+00:00"},{"alias_kind":"pith_short_12","alias_value":"SJ523XL54WTC","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SJ523XL54WTCMEIB","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SJ523XL5","created_at":"2026-05-18T12:26:41.206345+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/SJ523XL54WTCMEIBR5HQHX3QXU","json":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU.json","graph_json":"https://pith.science/api/pith-number/SJ523XL54WTCMEIBR5HQHX3QXU/graph.json","events_json":"https://pith.science/api/pith-number/SJ523XL54WTCMEIBR5HQHX3QXU/events.json","paper":"https://pith.science/paper/SJ523XL5"},"agent_actions":{"view_html":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU","download_json":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU.json","view_paper":"https://pith.science/paper/SJ523XL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.1130&json=true","fetch_graph":"https://pith.science/api/pith-number/SJ523XL54WTCMEIBR5HQHX3QXU/graph.json","fetch_events":"https://pith.science/api/pith-number/SJ523XL54WTCMEIBR5HQHX3QXU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU/action/storage_attestation","attest_author":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU/action/author_attestation","sign_citation":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU/action/citation_signature","submit_replication":"https://pith.science/pith/SJ523XL54WTCMEIBR5HQHX3QXU/action/replication_record"}},"created_at":"2026-05-18T03:49:01.212742+00:00","updated_at":"2026-05-18T03:49:01.212742+00:00"}