{"paper":{"title":"Relative Entanglement Entropies in 1+1-dimensional conformal field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Paola Ruggiero, Pasquale Calabrese","submitted_at":"2016-12-02T12:35:48Z","abstract_excerpt":"We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\\rho_1 \\| \\rho_0)$ between two given reduced density matrices $\\rho_1$ and $\\rho_0$ of a quantum field theory, we employ the replica trick which relies on the path integral representation of ${\\rm Tr} ( \\rho_1 \\rho_0^{n-1} )$ and define a set of R\\'enyi relative entropies $S_n(\\rho_1 \\| \\rho_0)$. We compute these quantities for integer values of the parameter $n$ and derive via the replica limit, the relative entropy between e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00659","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"}