{"paper":{"title":"Stochastic limit approximation for rapidly decaying systems","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gen Kimura, Kazuya Yuasa, Kentaro Imafuku (Waseda University, Tokyo)","submitted_at":"2000-07-04T07:32:37Z","abstract_excerpt":"The stochastic limit approximation method for ``rapid'' decay is presented, where the damping rate \\gamma is comparable to the system frequency \\Omega, i.e., \\gamma \\sim \\Omega, whereas the usual stochastic limit approximation is applied only to the weak damping situation \\gamma << \\Omega. The key formulas for rapid decay are very similar to those for weak damping, but the dynamics is quite different. From a microscopic Hamiltonian, the spin-boson model, a Bloch equation containing two independent time scales is derived. This is a useful method to extract the minimal dissipative dynamics at hi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0007007","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"}