{"paper":{"title":"Analytical Solution of Cross Polarization Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Peng Li, Qun Chen, Shanmin Zhang","submitted_at":"2012-09-17T09:29:15Z","abstract_excerpt":"Cross polarization (CP) dynamics, which was remained unknown for five decades, has been derived analytically in the zero- and double-quantum spaces. The initial polarization in the double-quantum space is a constant of motion under strong pulse condition ($|\\omega_{1I}+\\omega_{1S}|\\gg |d(t)|$), while the Hamiltonian in the zero-quantum space reduces to $d(t)\\sigma_{z}^{\\Delta}$ under the Hartmann-Hahn match condition ($\\omega_{1I}=\\omega_{1S}$). The time dependent Hamilontian ($d(t)\\sigma_{z}^{\\Delta}$) in the zero-quantum space can be expressed by average Hamiltonians. Since$[d(t')\\sigma_{z}^"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3604","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"}