Time Evolution of Entanglement Negativity from Black Hole Interiors

Abstract

We investigate the time evolution of entanglement negativity following a global quench for mixed state configurations of two disjoint and adjacent intervals in a ($1+1$)-dimensional conformal field theory ($CF{T}_{1+1}$) dual to the eternal black hole sliced in half by an end of the world brane, through the $Ad{S}_3/CF{T}_2$ correspondence. To this end we obtain the time evolution of the holographic entanglement negativity for such mixed states from a dual bulk eternal black hole geometry and elucidate the relevant geodesic structures. The holographic entanglement negativity for such mixed states, following a global quench is described by half of the results for the eternal black hole. Significantly, in this case our holographic results match exactly with the corresponding $CF{T}_{1+1}$ computations.

arXiv comment25 pages and 10 figures

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