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arXiv:2205.07903 · Physical review. D/Physical review. D.

Islands for entanglement negativity in communicating black holes

Mir Afrasiar, Jaydeep Kumar Basak, Ashish Chandra, Gautam Sengupta

Published Sep 20, 2023• 18 citations
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Abstract

We obtain the holographic entanglement negativity for bipartite mixed states at a finite temperature in baths described by conformal field theories dual to configurations involving two communicating black holes in a braneworld geometry. In this context, we analyze the mixed state entanglement structure characterized by the information transfer between the black holes. The model corresponds to a configuration of two dimensional eternal Jackiw-Teitelboim (JT) black holes in a braneworld geometry involving two Planck branes coupled through shared bath systems described by ${\mathrm{CFT}}_{2}\mathrm{s}$. Our results reproduce analogue of the Page curves for the entanglement negativity obtained earlier in the context of random matrix theory and from geometric evaporation in JT black hole configurations.

DOI
10.1103/physrevd.108.066013

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We investigate the application of our recent holographic entanglement negativity conjecture for higher dimensional conformal field theories to specific examples which serve as crucial consistency checks. In this context we compute the holographic entanglement negativity for bipartite pure and finite temperature mixed state configurations in d-dimensional conformal field theories dual to bulk pure AdSd+1AdS_{d+1}AdSd+1​ geometry and AdSd+1AdS_{d+1}AdSd+1​ -Schwarzschild black holes respectively. It is observed that the holographic entanglement negativity characterizes the distillable entanglement for the finite temperature mixed states through the elimination of the thermal contributions. Significantly our examples correctly reproduce universal features of the entanglement negativity for corresponding two dimensional conformal field theories, in higher dimensions.
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