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  • Open Access

Charged black hole with string cloud deformation: Entanglement and chaos

Sanjay Pant1,‡, Shagun Kaushal2,3,*, Arpit Maurya4,†, and Himanshu Parihar5,6,§

  • *Contact author: shagun123@iitd.ac.in, shagun.kaushal@vit.ac.in
  • †Contact author: arpit.20phz0009@iitrpr.ac.in
  • ‡Contact author: sanjaypant.phy@geu.ac.in
  • §Contact author: himansp@phys.ncts.ntu.edu.tw
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Phys. Rev. D 112, 086019 – Published 28 October, 2025

DOI: https://doi.org/10.1103/vxnt-zf5j

Abstract

We perform a holographic analysis of several quantum information-theoretic observables—entanglement entropy (EE), mutual information (MI), entanglement wedge cross section (EWCS), butterfly velocity (vB), and thermo mutual information (TMI)—in the background of charged anti–de Sitter (AdS) black hole deformed by a homogeneous string cloud. This configuration is dual to a large Nc strongly coupled field theory at finite temperature and finite chemical potential, in presence of quark-cloud. We study how the entanglement structure and chaotic dynamics in the boundary theory are affected by the charge and backreaction. In our observation we find that both EE and EWCS increase monotonically with charge and backreaction, indicating enhanced correlations due to additional degrees of freedom. On the other hand MI and TMI show a more intricate dependence: backreaction tends to strengthen correlations, while increasing charge suppresses entanglement and makes the system more susceptible to scrambling. The analysis of the butterfly velocity vB indicates that the presence of charge and the backreaction suppress the chaotic behavior of the system by. Furthermore, TMI exhibits a sharp transition under shockwave perturbations, with interboundary entanglement being entirely disrupted beyond a critical shock strength, which decreases with increasing charge.

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Phys. Rev. D 112, 086019– Published 28 October, 2025
  • Received 19 July 2025
  • Accepted 7 October 2025
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