{"paper":{"title":"Quantum versus classical phase-locking transition in a driven-chirped oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","physics.atom-ph","physics.plasm-ph"],"primary_cat":"quant-ph","authors_text":"A.G. Shagalov, I. Barth, L. Friedland, O. Gat","submitted_at":"2011-04-17T10:22:30Z","abstract_excerpt":"Classical and quantum-mechanical phase locking transition in a nonlinear oscillator driven by a chirped frequency perturbation is discussed. Different limits are analyzed in terms of the dimensionless parameters $% P_{1}=\\epsilon /\\sqrt{2m\\hbar \\omega_{0}\\alpha}$ and $P_{2}=(3\\hbar \\beta)/(4m\\sqrt{\\alpha})$ ($\\epsilon,$ $\\alpha,$ $\\beta$ and $\\omega_{0}$ being the driving amplitude, the frequency chirp rate, the nonlinearity parameter and the linear frequency of the oscillator). It is shown that for $P_{2}\\ll P_{1}+1$, the passage through the linear resonance for $P_{1}$ above a threshold yiel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3296","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":""},"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"}