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arXiv:1812.04424 · Journal of High Energy Physics

Time evolution of entanglement negativity from black hole interiors

Vinay Malvimat, Sayid Mondal, Gautam Sengupta

Published May 1, 2019• 23 citations
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Abstract

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 (CFT 1+1) dual to the eternal black hole sliced in half by an end of the world brane, through the AdS 3 /CFT 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 our results exactly match with the corresponding CFT 1+1 computations.

DOI
10.1007/jhep05(2019)183

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