Theoretical Physics Seminar: Larus Thorlacius

Title: Late time saturation of quantum complexity

Abstract: We study the late time behavior of holographic quantum complexity for static spherically symmetric black holes in general dimensions using a path integral formulation of the complexity-as-volume (CV) proposal. The holographic complexity exhibits an extended period of linear growth, as predicted by classical gravity, but saturates to a constant value on a time scale that is exponential in the black hole entropy. We also describe a discrete toy model for quantum complexity where the Nielsen complexity geometry is replaced by a high-dimensional hypercube.