학술논문
Geometrical mutual information at the tricritical point of the two-dimensional Blume-Capel model.
Document Type
Journal
Author
Mandal, Ipsita (3-PITP) AMS Author Profile; Inglis, Stephen (D-MNCH) AMS Author Profile; Melko, Roger G. (3-PITP) AMS Author Profile
Source
Subject
81 Quantum theory -- 81P Axiomatics, foundations, philosophy
81P45Quantum information, communication, networks
81P45
Language
English
Abstract
Summary: ``The spin-1 classical Blume-Capel model on a square latticeis known to exhibit a finite-temperature phase transition described bythe tricritical Ising CFT in $1+1$ space-time dimensions. This phasetransition can be accessed with classical Monte Carlo simulations,which, via a replica-trick calculation, can be used to study theshape-dependence of the classical Rényi entropies for a torus dividedinto two cylinders. From the second Rényi entropy, we calculate thegeometrical mutual information (GMI) introduced by Stéphan {\it etal} (2014 {\it Phys. Rev. Lett.} 112 127204) and use it to extract anumerical estimate for the value of the central charge near thetricritical point. By comparing to the known CFT result, $c=7/10$, wedemonstrate how this type of GMI calculation can be used to estimatethe position of the tricritical point in the phase diagram.''