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Autores principales: Kawamoto, Shoichi, Lee, Da-Shin, Yeh, Chen-Pin
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2503.08114
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author Kawamoto, Shoichi
Lee, Da-Shin
Yeh, Chen-Pin
author_facet Kawamoto, Shoichi
Lee, Da-Shin
Yeh, Chen-Pin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_08114
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Out-of-Time-Order-Correlators in Holographic EPR pairs
Kawamoto, Shoichi
Lee, Da-Shin
Yeh, Chen-Pin
High Energy Physics - Theory
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.
title Out-of-Time-Order-Correlators in Holographic EPR pairs
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.08114