Quantum computing model of black holes

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Philip Thrift

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Nov 3, 2020, 8:07:10 AM11/3/20
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Lawrence Crowell

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Nov 4, 2020, 6:01:05 AM11/4/20
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The paper that is really getting the attention is this below. It works with Page curves, which was developed by some of these authors a couple of years ago. This is potentially more on the mark I think.

LC
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

Bulk quantum fields are often said to contribute to the generalized entropy A4GN+Sbulk only at O(1). Nonetheless, in the context of evaporating black holes, O(1/GN) gradients in Sbulk can arise due to large boosts, introducing a quantum extremal surface far from any classical extremal surface. We examine the effect of such bulk quantum effects on quantum extremal surfaces (QESs) and the resulting entanglement wedge in a simple two-boundary 2d bulk system defined by Jackiw-Teitelboim gravity coupled to a 1+1 CFT. Turning on a coupling between one boundary and a further external auxiliary system which functions as a heat sink allows a two-sided otherwise-eternal black hole to evaporate on one side. We find the generalized entropy of the QES to behave as expected from general considerations of unitarity, and in particular that ingoing information disappears from the entanglement wedge after a scambling time β2πlnΔS+O(1) in accord with expectations for holographic implementations of the Hayden-Preskill protocol. We also find an interesting QES phase transition at what one might call the Page time for our process.

Comments:
49 pages, 9 figures; v3: overview section added
Subjects:
High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
DOI:
10.1007/JHEP12(2019)063
Cite as:
arXiv:1905.08762 [hep-th]
 
(or arXiv:1905.08762v3 [hep-th] for this version)

https://arxiv.org/abs/1905.08762
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