{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ND5U3BJAHEK4OHP2NH6HPR6H3V","short_pith_number":"pith:ND5U3BJA","schema_version":"1.0","canonical_sha256":"68fb4d85203915c71dfa69fc77c7c7dd4a9c129e4724892a2d3ae7fb0b75f249","source":{"kind":"arxiv","id":"1009.2548","version":1},"attestation_state":"computed","paper":{"title":"New 3-mode squeezing operator and squeezed vacuum state in 3-wave mixing","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-chun Yuan, Hong-yi Fan, Li-yun Hu, Xue-xiang Xu","submitted_at":"2010-09-14T00:56:29Z","abstract_excerpt":"In a 3-wave mixing process occurring in some nonlinear optical medium when }$a_{1}^{\\dagger}${\\small mode interacts with both }$a_{2}^{\\dagger}% ${\\small mode and }$a_{3}^{\\dagger}${\\small mode, we theoretically study the squeezing effect generated by the operator }$S_{3}\\equiv \\exp[\\mu(a_{1}% a_{2}-a_{1}^{\\dagger}a_{2}^{\\dagger})+\\nu(a_{1}a_{3}-a_{1}^{\\dagger}% a_{3}^{\\dagger})]${\\small . The new 3-mode squeezed vacuum state in Fock space is derived, and the uncertainty relation for it is demonstrated, It turns out that }$S_{3}${\\small may exhibit enhanced squeezing. By virtue of the techniqu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1009.2548","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2010-09-14T00:56:29Z","cross_cats_sorted":[],"title_canon_sha256":"b8f172a9cc08bafe935e3fdb7e5970ff631033d76a6dda0eb261901d42dfe95f","abstract_canon_sha256":"5ac24e48911d68920c7fff1e32baa4d525e0081899f052ea659e657a48f5f6b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:56.850330Z","signature_b64":"hCRDFlhpwunbbiDClH6X/XKyVODmZhyEokNZ81WuUcHOZm7GbsRDy6PMBWZ+eoduTRthj8Lms0fCk6WYjq6bCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68fb4d85203915c71dfa69fc77c7c7dd4a9c129e4724892a2d3ae7fb0b75f249","last_reissued_at":"2026-05-18T04:40:56.849680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:56.849680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New 3-mode squeezing operator and squeezed vacuum state in 3-wave mixing","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-chun Yuan, Hong-yi Fan, Li-yun Hu, Xue-xiang Xu","submitted_at":"2010-09-14T00:56:29Z","abstract_excerpt":"In a 3-wave mixing process occurring in some nonlinear optical medium when }$a_{1}^{\\dagger}${\\small mode interacts with both }$a_{2}^{\\dagger}% ${\\small mode and }$a_{3}^{\\dagger}${\\small mode, we theoretically study the squeezing effect generated by the operator }$S_{3}\\equiv \\exp[\\mu(a_{1}% a_{2}-a_{1}^{\\dagger}a_{2}^{\\dagger})+\\nu(a_{1}a_{3}-a_{1}^{\\dagger}% a_{3}^{\\dagger})]${\\small . The new 3-mode squeezed vacuum state in Fock space is derived, and the uncertainty relation for it is demonstrated, It turns out that }$S_{3}${\\small may exhibit enhanced squeezing. By virtue of the techniqu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2548","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":"1009.2548","created_at":"2026-05-18T04:40:56.849803+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.2548v1","created_at":"2026-05-18T04:40:56.849803+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2548","created_at":"2026-05-18T04:40:56.849803+00:00"},{"alias_kind":"pith_short_12","alias_value":"ND5U3BJAHEK4","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"ND5U3BJAHEK4OHP2","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"ND5U3BJA","created_at":"2026-05-18T12:26:10.704358+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/ND5U3BJAHEK4OHP2NH6HPR6H3V","json":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V.json","graph_json":"https://pith.science/api/pith-number/ND5U3BJAHEK4OHP2NH6HPR6H3V/graph.json","events_json":"https://pith.science/api/pith-number/ND5U3BJAHEK4OHP2NH6HPR6H3V/events.json","paper":"https://pith.science/paper/ND5U3BJA"},"agent_actions":{"view_html":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V","download_json":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V.json","view_paper":"https://pith.science/paper/ND5U3BJA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.2548&json=true","fetch_graph":"https://pith.science/api/pith-number/ND5U3BJAHEK4OHP2NH6HPR6H3V/graph.json","fetch_events":"https://pith.science/api/pith-number/ND5U3BJAHEK4OHP2NH6HPR6H3V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V/action/storage_attestation","attest_author":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V/action/author_attestation","sign_citation":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V/action/citation_signature","submit_replication":"https://pith.science/pith/ND5U3BJAHEK4OHP2NH6HPR6H3V/action/replication_record"}},"created_at":"2026-05-18T04:40:56.849803+00:00","updated_at":"2026-05-18T04:40:56.849803+00:00"}