{"paper":{"title":"Trapped ions in laser fields: A benchmark for deformed quantum oscillators","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Porzio, F. Zaccaria, G. Marmo, S. Solimeno, V. Man'ko","submitted_at":"2000-03-28T14:48:33Z","abstract_excerpt":"Some properties of the non--linear coherent states (NCS), recognized by Vogel and de Matos Filho as dark states of a trapped ion, are extended to NCS on a circle, for which the Wigner functions are presented. These states are obtained by applying a suitable displacement operator $D_{h}(\\alpha) $ to the vacuum state. The unity resolutions in terms of the projectors $| \\alpha, h> < \\alpha, h^{-1}| ,| \\alpha, h^{-1}> < \\alpha, h| $ are presented together with a measure allowing a resolution in terms of $| \\alpha, h> < \\alpha, h| $. $D_{h}(\\alpha) $ is also used for introducing the probability dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0003125","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"}