{"paper":{"title":"Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"nlin.CD","authors_text":"C.W.J.Beenakker, J. Tworzydlo, P.G.Silvestrov","submitted_at":"2002-06-30T17:37:58Z","abstract_excerpt":"We re-examine the problem of the \"Loschmidt echo\", which measures the sensitivity to perturbation of quantum chaotic dynamics. The overlap squared $M(t)$ of two wave packets evolving under slightly different Hamiltonians is shown to have the double-exponential initial decay $\\propto \\exp(-{\\rm constant}\\times e^{2\\lambda_0 t})$ in the main part of phase space. The coefficient $\\lambda_0$ is the self-averaging Lyapunov exponent. The average decay $\\bar{M}\\propto e^{-\\lambda_1 t}$ is single exponential with a different coefficient $\\lambda_1$. The volume of phase space that contributes to $\\bar{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0207002","kind":"arxiv","version":3},"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"}