{"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"}