Renyi entanglement entropies of descendant states in critical systems with boundaries: conformal field theory and spin chains
Authors: Taddia L., Ortolani F., Palmai T.
Autors Affiliation: Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy; CNR, Ist Nazl Ott, Sede Secondaria Sesto Fiorentino, Via Carrara 1, I-50019 Sesto Fiorentino, Italy; Univ Bologna, Dipartimento Fis & Astron, Via Irnerio 46, I-40127 Bologna, Italy; Ist Nazl Fis Nucl, Sez Bologna, Via Irnerio 46, I-40127 Bologna, Italy; Budapest Univ Technol & Econ, Inst Phys, MTA BME Lendulet Stat Field Theory Res Grp, Budafoki Ut 8, H-1111 Budapest, Hungary
Abstract: We discuss the Renyi entanglement entropies of descendant states in critical one-dimensional systems with boundaries, that map to boundary conformal field theories in the scaling limit. We unify the previous conformal-field-theory approaches to describe primary and descendant states in systems with both open and closed boundaries. We provide universal expressions for the first two descendants in the identity family. We apply our technique to critical systems belonging to different universality classes with non-trivial boundary conditions that preserve conformal invariance, and find excellent agreement with numerical results obtained for finite spin chains. We also demonstrate that entanglement entropies are a powerful tool to resolve degeneracy of higher excited states in critical lattice models
Journal/Review: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume: 2016 Pages from: 093104-1 to: 093104-29
KeyWords: conformal field theory; density matrix renormalisation group; entanglement in extended quantum systems; spin chains; ladders and planesDOI: 10.1088/1742-5468/2016/09/093104Citations: 15data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here