2009/10/31 by Vincenzo Alba, Luca Tagliacozzo, Pasquale Calabrese · 4 citations
Mathematics · Physics and Astronomy · #Conformal field theory #Conformal map #Critical phenomena #Discrete mathematics #Disjoint sets #Entropy (arrow of time) #Geometry #Ising model #Mathematical analysis #Mathematics #Opinion Dynamics and Social Influence #Phase transition #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scaling #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevb.81.060411
published as Phys. Rev. B 81, 060411(R) (2010) · 4 pages, 5 figures. Revised version accepted for publication in PRB
arxiv created 2010/02/15 · openalex publication_date 2010/02/22 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the scaling of the R'enyi and entanglement entropy of two disjoint blocks of critical Ising models as function of their sizes and separations. We present analytic results based on conformal field theory that are quantitatively checked in numerical simulations of both the quantum spin chain and the classical two-dimensional Ising model. Theoretical results match the ones obtained from numerical simulations only after taking properly into account the corrections induced by the finite length of the blocks to their leading scaling behavior.