title: Mutual information and boson radius in a c=1 critical system in one dimension.
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.
authors.affiliation: Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198, Japan.
authors.forename: Shunsuke
authors.initials: S
authors.lastname: Furukawa
authors.forename: Vincent
authors.initials: V
authors.lastname: Pasquier
authors.forename: Jun'ichi
authors.initials: J
authors.lastname: Shiraishi