Work

Mutual Information and Boson Radius in a c = 1 Critical System in One Dimension

Year: 2009

Type: article

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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.102.170602

Authors: Shunsuke Furukawa, Vincent Pasquier, Jun’ichi Shiraishi

Institutions: RIKEN, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, CEA Paris-Saclay - Etablissement de Saclay, Institut de Physique Théorique, The University of Tokyo

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2022444151

FWCI: 7.735

Cites: 27

Cited by: 195

Related to: 10