Mutual Information and Boson Radius in c=1 Critical Systems 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.

4.1 pages, 5 figures

References in corpus (17)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Quantifying Entanglement
• Aspects of Holographic Entanglement Entropy
• Geometric and Renormalized Entropy in Conformal Field Theory
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• A finite entanglement entropy and the c-theorem
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Magnetization Plateaux in N-Leg Spin Ladders
• On the von Neumann capacity of noisy quantum channels
• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Entanglement Entropy and Twist Fields
• Entanglement, combinatorics and finite-size effects in spin-chains

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