Entanglement of purification in free scalar field theories

• Bhattacharyya, Arpan

  Center for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto University

• Takayanagi, Tadashi

  Center for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto University･Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo

• Umemoto, Koji

  Center for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto University

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.

Journal

• Journal of High Energy Physics

  Journal of High Energy Physics 2018 132-, 2018-04

  Springer Nature

Keywords

• AdS-CFT Correspondence
• Gauge-gravity correspondence
• Lattice Quantum Field Theory

Details

• CRID: 1050001338209196416
• NII Article ID: 120006551747
• ISSN: 10298479
• DOI: 10.1007/jhep04(2018)132
• HANDLE: 2433/236100
• Web Site: https://link.springer.com/content/pdf/10.1007/JHEP04(2018)132.pdf
• Web Site: https://link.springer.com/article/10.1007/JHEP04(2018)132/fulltext.html
• Text Lang: en
• Article Type: journal article
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