Entanglement of purification in holographic systems

Entanglement of purification in holographic systems

Abstract The holographic entanglement of purification (EoP) in AdS4 and AdS-RN black hole backgrounds is studied. We develop an algorithm to compute the EoP for bipartite configuration with infinitely long strips. The temperature behavior of EoP is revealed for small, intermediate and large configur...

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Main Authors: Peng Liu, Yi Ling, Chao Niu, Jian-Pin Wu
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Journal of High Energy Physics
Subjects:
Gauge-gravity correspondence
Black Holes
Holography and condensed matter physics (AdS/CMT)
Online Access:http://link.springer.com/article/10.1007/JHEP09(2019)071
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spelling doaj-0b483495e6b9479aa0decf7be26f32f62020-11-25T03:37:44ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019912210.1007/JHEP09(2019)071Entanglement of purification in holographic systemsPeng Liu0Yi Ling1Chao Niu2Jian-Pin Wu3Department of Physics and Siyuan Laboratory, Jinan UniversityInstitute of High Energy Physics, Chinese Academy of SciencesDepartment of Physics and Siyuan Laboratory, Jinan UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract The holographic entanglement of purification (EoP) in AdS4 and AdS-RN black hole backgrounds is studied. We develop an algorithm to compute the EoP for bipartite configuration with infinitely long strips. The temperature behavior of EoP is revealed for small, intermediate and large configurations: EoP monotonically increases with the temperature for small configurations; while for intermediate configurations, EoP is configuration-dependent; EoP vanishes for large configurations. Our numerical results verify some important inequalities of EoP, which we also prove geometrically in Poincaré coordinate.http://link.springer.com/article/10.1007/JHEP09(2019)071Gauge-gravity correspondenceBlack HolesHolography and condensed matter physics (AdS/CMT)
collection DOAJ
language English
format Article
sources DOAJ
author Peng Liu
Yi Ling
Chao Niu
Jian-Pin Wu
spellingShingle Peng Liu
Yi Ling
Chao Niu
Jian-Pin Wu
Entanglement of purification in holographic systems
Journal of High Energy Physics
Gauge-gravity correspondence
Black Holes
Holography and condensed matter physics (AdS/CMT)
author_facet Peng Liu
Yi Ling
Chao Niu
Jian-Pin Wu
author_sort Peng Liu
title Entanglement of purification in holographic systems
title_short Entanglement of purification in holographic systems
title_full Entanglement of purification in holographic systems
title_fullStr Entanglement of purification in holographic systems
title_full_unstemmed Entanglement of purification in holographic systems
title_sort entanglement of purification in holographic systems
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-09-01
description Abstract The holographic entanglement of purification (EoP) in AdS4 and AdS-RN black hole backgrounds is studied. We develop an algorithm to compute the EoP for bipartite configuration with infinitely long strips. The temperature behavior of EoP is revealed for small, intermediate and large configurations: EoP monotonically increases with the temperature for small configurations; while for intermediate configurations, EoP is configuration-dependent; EoP vanishes for large configurations. Our numerical results verify some important inequalities of EoP, which we also prove geometrically in Poincaré coordinate.
topic Gauge-gravity correspondence
Black Holes
Holography and condensed matter physics (AdS/CMT)
url http://link.springer.com/article/10.1007/JHEP09(2019)071
work_keys_str_mv AT pengliu entanglementofpurificationinholographicsystems
AT yiling entanglementofpurificationinholographicsystems
AT chaoniu entanglementofpurificationinholographicsystems
AT jianpinwu entanglementofpurificationinholographicsystems
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