Entanglement islands in higher dimensions
By Ahmed Almheiri, R. Mahajan, Jorge E Santos. SciPost Physics, 2019
255 citations recorded by the source corpus.
It has been suggested in recent work that the Page curve of Hawking radiation can be recovered using computations in semi-classical gravity provided one allows for ``islands" in the gravity region of quantum systems coupled to gravity. The explicit computations so far have been restricted to black holes in two-dimensional Jackiw-Teitelboim gravity. In this note, we numerically construct a five-dimensional asymptotically AdS geometry whose boundary realizes a four-dimensional Hartle-Hawking state on an eternal AdS black hole in equilibrium with a bath. We also numerically find two types of extremal surfaces: ones that correspond to having or not having an island. The version of the information paradox involving the eternal black hole exists in this setup, and it is avoided by the presence of islands. Thus, recent computations exhibiting islands in two-dimensional gravity generalize to higher dimensions as well.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4b9c7d38bff376fc0c4673d0f15bf06e68a25d35
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Citations in the corpus
- Islands in cosmology (2020, background): “The argument also applies to the finite-size islands in eternal black holes studied in AdS in [32, 33] and Minkowski spacetime in [60–62], because they are in a regime where the problem factorizes into two copies of the situation just discussed.”
- Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, methodology): “The early work of [21] considered black hole evaporation with Einstein gravity in higher dimensions, and the holographic model of [22] was extended to a holographic framework with d = 4 in [24] using numerical calculations.”
- Massive islands (2020, methodology): “While [17] did not actually calculate a Page curve, they at least established the existence of islands for a 4d RS brane in AdS5.”
- Replica wormholes and the black hole interior (2019, methodology): “], (1.1) was justied by considering holographic bulk matter and using the Ryu-Takayanagi formula in the \doubly holographic" description of the theory. 4For other recent work on this topic, see [17, 18, 19, 20, 21, 22]. 2 hole evolution unitary.5 Understanding the Page curve is only part of the”
- Notes on islands in asymptotically flat 2d dilaton black holes (2020, unknown): “For examples, see [29,30].”
- Quantum extremal islands made easy. Part II. Black holes on the brane (2020, methodology): “As we will show, our framework allows us to carry the calculations remarkably far analytically, complementing previous approaches which heavily relied on numerics [30].”
- Information Transfer with a Gravitating Bath (2020, background): “nected parts in the holographic system that contribute to the entanglement entropy of a region of the bath. Attempts have been made to generalize this calculation to higher-dimensional models as well [8,11{15]. A common feature of most such models to date is that the external bath into which the bla”
- Islands in Schwarzschild black holes (2020, background): “[28] for the study of islands in higher dimensions.”
- Inconsistency of islands in theories with long-range gravity (2021, methodology): “In spacetime dimensions larger than two, precise computations of the Page curve have been performed using a doubly-holographic setup where the AdS black hole and non-gravitational bath are realized through a Karch-Randall brane [7, 8] embedded in a higher-dimensional AdS spacetime [3].”
- Lessons from the information paradox (2020, methodology): “Some of the initial computations of the Page curve [7, 8, 118] were performed in 1 + 1 dimensions, and the framework was later generalized to higher dimensions [119].”
- Replica wormholes and the entropy of Hawking radiation (2019, methodology): “d into a holographic theory in one higher dimension. The AdS 2 black hole lives on a brane at the boundary of AdS 3, similar to a Randall-Sundrum model [38,39], with JT gravity on the brane (see also [10] for an analogous construction on an AdS 4 boundary of AdS 5). In this setup, [6] derived the QE”