Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
Statistical Mechanics
2009-04-30 v3 Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Physics
Abstract
We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model reveals that the mutual information is scale-invariant and depends directly on the boson radius. We interpret the results in terms of correlation functions of branch-point twist fields. The present study provides a new way to determine the boson radius, and furthermore demonstrates the power of the mutual information to extract more refined information of conformal field theory than the central charge.
Keywords
Cite
@article{arxiv.0809.5113,
title = {Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension},
author = {Shunsuke Furukawa and Vincent Pasquier and Jun'ichi Shiraishi},
journal= {arXiv preprint arXiv:0809.5113},
year = {2009}
}
Comments
4.1 pages, 5 figures