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Title: Entanglement of purification in free scalar field theories
Authors: Bhattacharyya, Arpan
Takayanagi, Tadashi  kyouindb  KAKEN_id
Umemoto, Koji
Author's alias: 髙柳, 匡
梅本, 滉嗣
Keywords: AdS-CFT Correspondence
Gauge-gravity correspondence
Lattice Quantum Field Theory
Issue Date: Apr-2018
Publisher: Springer Nature
Journal title: Journal of High Energy Physics
Volume: 2018
Thesis number: 132
Abstract: We compute the entanglement of purification (EoP) in a 2d free scalar field theory with various masses. This quantity measures correlations between two subsystems and is reduced to the entanglement entropy when the total system is pure. We obtain explicit numerical values by assuming minimal gaussian wave functionals for the purified states. We find that when the distance between the subsystems is large, the EoP behaves like the mutual information. However, when the distance is small, the EoP shows a characteristic behavior which qualitatively agrees with the conjectured holographic computation and which is different from that of the mutual information. We also study behaviors of mutual information in purified spaces and violations of monogamy/strong superadditivity.
Rights: © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
URI: http://hdl.handle.net/2433/236100
DOI(Published Version): 10.1007/JHEP04(2018)132
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