{"paper":{"title":"Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.other","cond-mat.soft","cond-mat.supr-con","physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"Anthony Vogliano, Chung-You Shih, Lewis Hahn, Nikhil Kotibhaskar, Rajibul Islam, Sainath Motlakunta, Yu-Ting Chen","submitted_at":"2023-07-10T22:09:08Z","abstract_excerpt":"We propose and experimentally demonstrate an analog scheme for generating XY-type ($J_{ij}^x \\sigma_x^i \\sigma_x^j \\;$ + $J_{ij}^y \\sigma_y^i \\sigma_y^j \\;$) Hamiltonians on trapped ion spins with independent control over the $J_{ij}^x$ and $J_{ij}^y$ terms. The Ising-type interactions $\\sigma_x^i \\sigma_x^j \\;$ and $\\sigma_y^i \\sigma_y^j \\;$ are simultaneously generated by employing two spin-dependent forces operating in parallel on the same set of normal modes. We analytically calculate the region of validity of this scheme, and provide numerical and experimental validation with $^{171}\\rm{Y"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.04922","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.04922/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}