{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:IYYMG437FQVBTVUFTZHG5BWE5B","short_pith_number":"pith:IYYMG437","schema_version":"1.0","canonical_sha256":"4630c3737f2c2a19d6859e4e6e86c4e87d6b684f021588aa5217f7340b64a7aa","source":{"kind":"arxiv","id":"1902.02214","version":1},"attestation_state":"computed","paper":{"title":"Parametric Resonances and Resonant Delocalization in Quasi-Phase Matched Photon-pair Generation and Quantum Frequency Conversion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Andrey V. Gorbach, Peter J. Mosley, Philip B. Main","submitted_at":"2019-02-06T14:49:56Z","abstract_excerpt":"The existing widely-accepted theory of photon-pair generation via spontaneous down-conversion (SPDC) in nonlinear optical crystals and waveguides is incomplete, as it fails to account for the important physical phenomenon of parametric resonances. We demonstrate that exponential gain of classical fields in the regime of parametric resonance corresponds to resonant delocalization in the Glauber-Fock model of quantum SPDC. We propose a quantitative measure of localisation of Floquet eigen-modes as an analogue of classical gain to identify regimes of resonant delocalization. Using this method, we"},"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":"1902.02214","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-02-06T14:49:56Z","cross_cats_sorted":[],"title_canon_sha256":"edd014fef422789fe0b84e3100766401bb66ae467fd3dd3d530525edf13c92f5","abstract_canon_sha256":"715f4ca0c30fcb931e5b3ce584a3f041dfb979f2dfa7a0da96b992e645d0b414"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:37.579868Z","signature_b64":"7b8QKMfrcfucxsOYgyDlO14r3+EJXV+LuPpYaROwikvoxd/ANmJxX0hinElN9t1dBYd0kwmQq4zxss+N24mnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4630c3737f2c2a19d6859e4e6e86c4e87d6b684f021588aa5217f7340b64a7aa","last_reissued_at":"2026-05-17T23:54:37.579383Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:37.579383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parametric Resonances and Resonant Delocalization in Quasi-Phase Matched Photon-pair Generation and Quantum Frequency Conversion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Andrey V. Gorbach, Peter J. Mosley, Philip B. Main","submitted_at":"2019-02-06T14:49:56Z","abstract_excerpt":"The existing widely-accepted theory of photon-pair generation via spontaneous down-conversion (SPDC) in nonlinear optical crystals and waveguides is incomplete, as it fails to account for the important physical phenomenon of parametric resonances. We demonstrate that exponential gain of classical fields in the regime of parametric resonance corresponds to resonant delocalization in the Glauber-Fock model of quantum SPDC. We propose a quantitative measure of localisation of Floquet eigen-modes as an analogue of classical gain to identify regimes of resonant delocalization. Using this method, we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02214","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":"1902.02214","created_at":"2026-05-17T23:54:37.579440+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.02214v1","created_at":"2026-05-17T23:54:37.579440+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02214","created_at":"2026-05-17T23:54:37.579440+00:00"},{"alias_kind":"pith_short_12","alias_value":"IYYMG437FQVB","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"IYYMG437FQVBTVUF","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"IYYMG437","created_at":"2026-05-18T12:33:18.533446+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/IYYMG437FQVBTVUFTZHG5BWE5B","json":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B.json","graph_json":"https://pith.science/api/pith-number/IYYMG437FQVBTVUFTZHG5BWE5B/graph.json","events_json":"https://pith.science/api/pith-number/IYYMG437FQVBTVUFTZHG5BWE5B/events.json","paper":"https://pith.science/paper/IYYMG437"},"agent_actions":{"view_html":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B","download_json":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B.json","view_paper":"https://pith.science/paper/IYYMG437","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.02214&json=true","fetch_graph":"https://pith.science/api/pith-number/IYYMG437FQVBTVUFTZHG5BWE5B/graph.json","fetch_events":"https://pith.science/api/pith-number/IYYMG437FQVBTVUFTZHG5BWE5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B/action/storage_attestation","attest_author":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B/action/author_attestation","sign_citation":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B/action/citation_signature","submit_replication":"https://pith.science/pith/IYYMG437FQVBTVUFTZHG5BWE5B/action/replication_record"}},"created_at":"2026-05-17T23:54:37.579440+00:00","updated_at":"2026-05-17T23:54:37.579440+00:00"}