{"paper":{"title":"Classical and Quantum Chaos in a quantum dot in time-periodic magnetic fields","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Jorge V. Jos\\'e, R. Badrinarayanan","submitted_at":"1996-10-08T22:20:05Z","abstract_excerpt":"We investigate the classical and quantum dynamics of an electron confined to a circular quantum dot in the presence of homogeneous $B_{dc}+B_{ac}$ magnetic fields. The classical motion shows a transition to chaotic behavior depending on the ratio $\\epsilon=B_{ac}/B_{dc}$ of field magnitudes and the cyclotron frequency ${\\tilde\\omega_c}$ in units of the drive frequency. We determine a phase boundary between regular and chaotic classical behavior in the $\\epsilon$ vs ${\\tilde\\omega_c}$ plane. In the quantum regime we evaluate the quasi-energy spectrum of the time-evolution operator. We show that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9610074","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"}