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arXiv · 2501.06419

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

Yi Li·Ke-tai Wu·Chong-Ye Chen·Chao Niu·Cheng-Yong Zhang·Peng Liu
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Abstract

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.

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Yi Li, Ke-tai Wu, Chong-Ye Chen, Chao Niu, Cheng-Yong Zhang, Peng Liu. 2025-01-11. Holographic Entanglement Entropy as a Probe of Dynamical Criticality in Scalarizing Black Holes. https://arxiv.org/abs/2501.06419

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