Abstract
We study the scaling of the Rényi entanglement entropy of two disjoint blocks ofcritical lattice models described by conformal field theories with central chargec = 1. We provide the analytic conformal field theory result for the second order Rényi entropyfor a free boson compactified on an orbifold describing the scaling limit of theAshkin–Teller (AT) model on the self-dual line. We have checked this prediction in clusterMonte Carlo simulations of the classical two-dimensional AT model. We have alsoperformed extensive numerical simulations of the anisotropic Heisenberg quantum spinchain with tree tensor network techniques that allowed us to obtain the reduced densitymatrices of disjoint blocks of the spin chain and to check the correctness of the predictionsfor Rényi and entanglement entropies from conformal field theory. In order to match thesepredictions, we have extrapolated the numerical results by properly taking into accountthe corrections induced by the finite length of the blocks on the leading scalingbehavior.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
