{"paper":{"title":"Nonlinear sigma model approach to many-body quantum chaos: Regularized and unregularized out-of-time-ordered correlators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Victor Galitski, Yunxiang Liao","submitted_at":"2018-07-25T18:01:21Z","abstract_excerpt":"The out-of-time-ordered correlators (OTOCs) have been proposed and widely used recently as a tool to define and describe many-body quantum chaos. Here, we develop the Keldysh non-linear sigma model technique to calculate these correlators in interacting disordered metals. In particular, we focus on the regularized and unregularized OTOCs, defined as $Tr[\\sqrt{\\rho} A(t) \\sqrt{\\rho} A^\\dagger(t)]$ and $Tr[\\rho A(t)A^\\dagger(t)]$ respectively (where $A(t)$ is the anti-commutator of fermion field operators and $\\rho$ is the thermal density matrix). The calculation of the rate of OTOCs' exponentia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09799","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"}