Entanglement entropy of two disjoint intervals in conformal field theory II
TLDR
In this paper, the entanglement entropy of two disjoint intervals in conformal field theories was studied and the scaling function for small four-point ratio (i.e. short intervals) was given.Abstract:
We continue the study of the entanglement entropy of two disjoint intervals in conformal field theories that we started in J. Stat. Mech. (2009) P11001. We compute Tr\rho_A^n for any integer n for the Ising universality class and the final result is expressed as a sum of Riemann-Siegel theta functions. These predictions are checked against existing numerical data. We provide a systematic method that gives the full asymptotic expansion of the scaling function for small four-point ratio (i.e. short intervals). These formulas are compared with the direct expansion of the full results for free compactified boson and Ising model. We finally provide the analytic continuation of the first term in this expansion in a completely analytic form.read more
Citations
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Entanglement entropy and conformal field theory
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TL;DR: In this article, a conformal field theory approach to entanglement entropy is presented, and the authors show how to apply these methods to the calculation of the entropy of a single interval and the generalization to different situations such as finite size, systems with boundaries and the case of several disjoint intervals.
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Holographic Entanglement Entropy: An Overview
TL;DR: In this article, the authors review recent progress on the holographic understanding of the entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) correspondence.
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Quantum corrections to holographic entanglement entropy
TL;DR: In this paper, the authors considered entanglement entropy in quantum field theories with a gravity dual and proposed the one loop correction to this formula, where the minimal surface divides the bulk into two regions.
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Entanglement Renyi entropies in holographic theories
TL;DR: The RT formula predicts a phase transition in the entanglement entropy as a function of their separation, and that the mutual information between the intervals vanishes for separations larger than the phase transition point.
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Entanglement entropy in free quantum field theory
Horacio Casini,Marina Huerta +1 more
TL;DR: In this paper, the authors introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real-time formalisms, and describe the particular examples which have been worked out explicitly in two, three and more dimensions.
References
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