Out-of-time-order-correlators in holographic EPR pairs

Abstract In this note, we investigate the out-of-time-order correlators (OTOCs) for quantum fields in a holographic framework describing Einstein-Podolsky-Rosen (EPR) pairs. We compute the four-point and six-point OTOCs using the gravity dual, represented by the string worldsheet theory in Anti-de S...

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Main Authors: Shoichi Kawamoto, Da-Shin Lee, Chen-Pin Yeh
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)102
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author Shoichi Kawamoto
Da-Shin Lee
Chen-Pin Yeh
author_facet Shoichi Kawamoto
Da-Shin Lee
Chen-Pin Yeh
author_sort Shoichi Kawamoto
collection DOAJ
description Abstract In this note, we investigate the out-of-time-order correlators (OTOCs) for quantum fields in a holographic framework describing Einstein-Podolsky-Rosen (EPR) pairs. We compute the four-point and six-point OTOCs using the gravity dual, represented by the string worldsheet theory in Anti-de Sitter (AdS) space. These correlators quantify the rate at which information is scrambled, leading to the disentanglement of the EPR pair. We demonstrate consistency between two approaches for calculating OTOCs: the holographic influence functional on worldsheets perturbed by shock waves, and the worldsheet scattering in the eikonal approximation. We show that the OTOCs exhibit an initial phase of exponential growth, with six-point correlators indicating a marginally longer scrambling time compared to four-point correlators.
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spelling doaj-art-c2adb1c162e14a7aa323aa5db02df83d2025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025711610.1007/JHEP07(2025)102Out-of-time-order-correlators in holographic EPR pairsShoichi Kawamoto0Da-Shin Lee1Chen-Pin Yeh2College of Arts and Sciences, J.F. Oberlin UniversityDepartment of Physics, National Dong Hwa UniversityDepartment of Physics, National Dong Hwa UniversityAbstract In this note, we investigate the out-of-time-order correlators (OTOCs) for quantum fields in a holographic framework describing Einstein-Podolsky-Rosen (EPR) pairs. We compute the four-point and six-point OTOCs using the gravity dual, represented by the string worldsheet theory in Anti-de Sitter (AdS) space. These correlators quantify the rate at which information is scrambled, leading to the disentanglement of the EPR pair. We demonstrate consistency between two approaches for calculating OTOCs: the holographic influence functional on worldsheets perturbed by shock waves, and the worldsheet scattering in the eikonal approximation. We show that the OTOCs exhibit an initial phase of exponential growth, with six-point correlators indicating a marginally longer scrambling time compared to four-point correlators.https://doi.org/10.1007/JHEP07(2025)102AdS-CFT CorrespondenceBlack Holes in String TheoryGauge-Gravity Correspondence
spellingShingle Shoichi Kawamoto
Da-Shin Lee
Chen-Pin Yeh
Out-of-time-order-correlators in holographic EPR pairs
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes in String Theory
Gauge-Gravity Correspondence
title Out-of-time-order-correlators in holographic EPR pairs
title_full Out-of-time-order-correlators in holographic EPR pairs
title_fullStr Out-of-time-order-correlators in holographic EPR pairs
title_full_unstemmed Out-of-time-order-correlators in holographic EPR pairs
title_short Out-of-time-order-correlators in holographic EPR pairs
title_sort out of time order correlators in holographic epr pairs
topic AdS-CFT Correspondence
Black Holes in String Theory
Gauge-Gravity Correspondence
url https://doi.org/10.1007/JHEP07(2025)102
work_keys_str_mv AT shoichikawamoto outoftimeordercorrelatorsinholographiceprpairs
AT dashinlee outoftimeordercorrelatorsinholographiceprpairs
AT chenpinyeh outoftimeordercorrelatorsinholographiceprpairs