Bell inequality in the holographic EPR pair

We study the Bell inequality in a holographic model of the casually disconnected Einstein–Podolsky–Rosen (EPR) pair. The Clauser–Horne–Shimony–Holt (CHSH) form of Bell inequality is constructed using holographic Schwinger–Keldysh (SK) correlators. We show that the manifestation of quantum correlatio...

Full description

Bibliographic Details
Main Authors: Jiunn-Wei Chen, Sichun Sun, Yun-Long Zhang
Format: Article
Language:English
Published: Elsevier 2019-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319301054
_version_ 1818897836540952576
author Jiunn-Wei Chen
Sichun Sun
Yun-Long Zhang
author_facet Jiunn-Wei Chen
Sichun Sun
Yun-Long Zhang
author_sort Jiunn-Wei Chen
collection DOAJ
description We study the Bell inequality in a holographic model of the casually disconnected Einstein–Podolsky–Rosen (EPR) pair. The Clauser–Horne–Shimony–Holt (CHSH) form of Bell inequality is constructed using holographic Schwinger–Keldysh (SK) correlators. We show that the manifestation of quantum correlation in Bell inequality can be holographically reproduced from the classical fluctuations of dual accelerating string in the bulk gravity. The violation of this holographic Bell inequality supports the essential quantum property of this holographic model of an EPR pair. Keywords: Holographic Bell inequality, Holographic EPR pair, String fluctuations, Nambu–Goto action, AdS/CFT correspondence
first_indexed 2024-12-19T19:22:30Z
format Article
id doaj.art-6a432cb562a24a95ae379112a3dfb667
institution Directory Open Access Journal
issn 0370-2693
language English
last_indexed 2024-12-19T19:22:30Z
publishDate 2019-04-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-6a432cb562a24a95ae379112a3dfb6672022-12-21T20:08:57ZengElsevierPhysics Letters B0370-26932019-04-017917379Bell inequality in the holographic EPR pairJiunn-Wei Chen0Sichun Sun1Yun-Long Zhang2Department of Physics, Center for Theoretical Sciences, and Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei 10617, Taiwan; Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USADepartment of Physics, Center for Theoretical Sciences, and Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei 10617, Taiwan; Department of Physics, Sapienza University of Rome, Rome I-00185, Italy; Corresponding author at: Department of Physics, Sapienza University of Rome, Rome I-00185, Italy.Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan; Asia Pacific Center for Theoretical Physics, Pohang 790-784, Republic of Korea; Center for Quantum Spacetime, Sogang University, Seoul 121-742, Republic of Korea; Corresponding author at: Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan.We study the Bell inequality in a holographic model of the casually disconnected Einstein–Podolsky–Rosen (EPR) pair. The Clauser–Horne–Shimony–Holt (CHSH) form of Bell inequality is constructed using holographic Schwinger–Keldysh (SK) correlators. We show that the manifestation of quantum correlation in Bell inequality can be holographically reproduced from the classical fluctuations of dual accelerating string in the bulk gravity. The violation of this holographic Bell inequality supports the essential quantum property of this holographic model of an EPR pair. Keywords: Holographic Bell inequality, Holographic EPR pair, String fluctuations, Nambu–Goto action, AdS/CFT correspondencehttp://www.sciencedirect.com/science/article/pii/S0370269319301054
spellingShingle Jiunn-Wei Chen
Sichun Sun
Yun-Long Zhang
Bell inequality in the holographic EPR pair
Physics Letters B
title Bell inequality in the holographic EPR pair
title_full Bell inequality in the holographic EPR pair
title_fullStr Bell inequality in the holographic EPR pair
title_full_unstemmed Bell inequality in the holographic EPR pair
title_short Bell inequality in the holographic EPR pair
title_sort bell inequality in the holographic epr pair
url http://www.sciencedirect.com/science/article/pii/S0370269319301054
work_keys_str_mv AT jiunnweichen bellinequalityintheholographiceprpair
AT sichunsun bellinequalityintheholographiceprpair
AT yunlongzhang bellinequalityintheholographiceprpair