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...
Main Authors: | , , |
---|---|
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 |