Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors

Abstract

Holographic superconductor is an important arena for holography, as it allows concrete calculations to further understand the dictionary between bulk physics and boundary physics. An important quantity of recent interest is the holographic complexity. Conflicting claims had been made in the literature concerning the behavior of holographic complexity during phase transition. We clarify this issue by performing a numerical study on one-dimensional holographic superconductor. Our investigation shows that holographic complexity does not behave in the same way as holographic entanglement entropy. Nevertheless, the universal terms of both quantities are finite and reflect the phase transition at the same critical temperature.

arXiv comment8 pages, improved version accepted by PLB

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• Complexity of AdS_5 black holes with a rotating string
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• Holographic Subregion Complexity in Einstein-Born-Infeld theory
• Holographic complexity: A tool to probe the property of reduced fidelity susceptibility
• Complexity growth of rotating black holes with a probe string
• Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics
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• Holographic subregion complexity of a 1+1 dimensional $p$-wave superconductor
• Subregion complexity and confinement-deconfinement transition in a holographic QCD model
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• Ratio of critical quantities related to Hawking temperature-entanglement entropy criticality
• Holographic Superconductors: An Analytic Method Revisit