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 most dimensions.
Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
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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.
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Holographic Subregion Complexity in General Vaidya Geometry
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 most dimensions.