Holographic Entanglement Entropy as a Probe of Dynamical Criticality in Scalarizing Black Holes

Fuente: arXiv
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Main Authors: Li, Yi, Wu, Ke-tai, Chen, Chong-Ye, Niu, Chao, Zhang, Cheng-Yong, Liu, Peng
Format: Preprint
Published: 2025
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author Li, Yi
Wu, Ke-tai
Chen, Chong-Ye
Niu, Chao
Zhang, Cheng-Yong
Liu, Peng
author_facet Li, Yi
Wu, Ke-tai
Chen, Chong-Ye
Niu, Chao
Zhang, Cheng-Yong
Liu, Peng
contents We demonstrate that holographic entanglement entropy (HEE) serves as a powerful diagnostic tool for both static and dynamical critical phenomena in the Einstein-Born-Infeld-Scalar (EBIS) model. While HEE is well-known for capturing static phase transitions, we reveal its novel ability to probe dynamical criticality, particularly the ''flip'' phenomenon-a sign inversion in the scalar field at a critical point. Near the flip, HEE exhibits relaxation dynamics that closely mirror those of the scalar field, with both relaxation times scaling logarithmically with the distance from the critical point. This intimate connection between the relaxation of HEE and the scalar field highlights HEE as a sensitive probe of dynamical critical phenomena. Our findings provide new insights into the interplay between quantum information and gravitational dynamics, offering a deeper understanding of critical behavior in strongly coupled systems.
format Preprint
id arxiv_https___arxiv_org_abs_2501_06419
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holographic Entanglement Entropy as a Probe of Dynamical Criticality in Scalarizing Black Holes
Li, Yi
Wu, Ke-tai
Chen, Chong-Ye
Niu, Chao
Zhang, Cheng-Yong
Liu, Peng
High Energy Physics - Theory
We demonstrate that holographic entanglement entropy (HEE) serves as a powerful diagnostic tool for both static and dynamical critical phenomena in the Einstein-Born-Infeld-Scalar (EBIS) model. While HEE is well-known for capturing static phase transitions, we reveal its novel ability to probe dynamical criticality, particularly the ''flip'' phenomenon-a sign inversion in the scalar field at a critical point. Near the flip, HEE exhibits relaxation dynamics that closely mirror those of the scalar field, with both relaxation times scaling logarithmically with the distance from the critical point. This intimate connection between the relaxation of HEE and the scalar field highlights HEE as a sensitive probe of dynamical critical phenomena. Our findings provide new insights into the interplay between quantum information and gravitational dynamics, offering a deeper understanding of critical behavior in strongly coupled systems.
title Holographic Entanglement Entropy as a Probe of Dynamical Criticality in Scalarizing Black Holes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2501.06419