Finite temperature entanglement negativity in conformal field theory
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Publication:2939860
DOI10.1088/1751-8113/48/1/015006zbMATH Open1305.81122arXiv1408.3043OpenAlexW2014643986MaRDI QIDQ2939860
Author name not available (Why is that?)
Publication date: 23 January 2015
Published in: (Search for Journal in Brave)
Abstract: We consider the logarithmic negativity of a finite interval embedded in an infinite one dimensional system at finite temperature. We focus on conformal invariant systems and we show that the naive approach based on the calculation of a two-point function of twist fields in a cylindrical geometry yields a wrong result. The correct result is obtained through a four-point function of twist fields in which two auxiliary fields are inserted far away from the interval, and they are sent to infinity only after having taken the replica limit. In this way, we find a universal scaling form for the finite temperature negativity which depends on the full operator content of the theory and not only on the central charge. In the limit of low and high temperatures, the expansion of this universal form can be obtained by means of the operator product expansion. We check our results against exact numerical computations for the critical harmonic chain.
Full work available at URL: https://arxiv.org/abs/1408.3043
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