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Title: Quantum entanglement of localized excited states at finite temperature
Authors: Caputa, Pawel
Simón, Joan
Štikonas, Andrius  KAKEN_name
Takayanagi, Tadashi
Author's alias: 高柳, 匡
Keywords: AdS-CFT Correspondence
Black Holes
Conformal Field Models in String Theory
Holography and condensed matter physics (AdS/CMT)
Issue Date: 20-Jan-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Issue: 1
Thesis number: 102
Abstract: In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature. We consider excited states created by acting with local operators on thermal states and give both field theoretic and holographic calculations. In free field CFTs, we find that the growth of Renyi entanglement entropy at finite temperature is reduced compared to the zero temperature result by a small quantity proportional to the width of the localized excitations. On the other hand, in finite temperature CFTs with classical gravity duals, we find that the entanglement entropy approaches a characteristic value at late time. This behaviour does not occur at zero temperature. We also study the mutual information between the two CFTs in the thermofield double (TFD) formulation and give physical interpretations of our results.
Rights: JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP01(2015)102
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