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Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors

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arxiv 1704.00557 v2 pith:GBX2FCUF submitted 2017-04-03 hep-th gr-qc

classification hep-thgr-qc
keywords holographiccomplexityentanglemententropyimportantone-dimensionalphasephysics
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Holographic Subregion Complexity in General Vaidya Geometry

    hep-th 2019-08 conditional novelty 6.0 of 10

    Holographic subregion complexity in a general Vaidya geometry grows linearly at early and intermediate times, then decreases linearly at late time for continuous transitions, with growth rates below the Lloyd bound in...

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