Entanglement of purification in free scalar field theories
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Publication:1641803
DOI10.1007/JHEP04(2018)132zbMATH Open1390.81065arXiv1802.09545WikidataQ129928350 ScholiaQ129928350MaRDI QIDQ1641803
Author name not available (Why is that?)
Publication date: 19 June 2018
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1802.09545
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