Entanglement entropy of two disjoint intervals in conformal field theory

Details Entanglement entropy of two disjoint intervals in conformal field theory Entanglement entropy of two disjoint intervals in conformal field theory

2009-05-13

arxiv.org/abs/0905.2069v2

J. Stat. Mech P11001, 2009

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 7 figures. V2: Results for small x behavior added, typos corrected and refs added

Scientific paper

10.1088/1742-5468/2009/11/P11001

We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr\rho_A^n for any integer n is calculated as the four-point function of a particular type of twist fields and the final result is expressed in a compact form in terms of the Riemann-Siegel theta functions. In the decompactification limit we provide the analytic continuation valid for all model parameters and from this we extract the entanglement entropy. These predictions are checked against existing numerical data.

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