Operator growth and black hole formation
Operator growth and black hole formation
When two particles collide in an asymptotically AdS spacetime with high enough energy and small enough impact parameter, they can form a black hole. Motivated by dual quantum circuit considerations, we propose a threshold condition for black hole formation. Intuitively the condition can be understood as the onset of overlap of the butterfly cones describing the ballistic spread of the effect of the perturbations on the boundary systems. We verify the correctness of the condition in three bulk dimensions. We describe a six-point correlation function that can diagnose this condition and compute it in two-dimensional CFTs using eikonal resummation.
Haehl, Felix
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Zhao, Ying
f7e965ce-4cc7-4489-8683-644d85b58137
24 July 2023
Haehl, Felix
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Zhao, Ying
f7e965ce-4cc7-4489-8683-644d85b58137
Haehl, Felix and Zhao, Ying
(2023)
Operator growth and black hole formation.
Journal of High Energy Physics, [184].
(doi:10.48550/arXiv.2304.14351).
Abstract
When two particles collide in an asymptotically AdS spacetime with high enough energy and small enough impact parameter, they can form a black hole. Motivated by dual quantum circuit considerations, we propose a threshold condition for black hole formation. Intuitively the condition can be understood as the onset of overlap of the butterfly cones describing the ballistic spread of the effect of the perturbations on the boundary systems. We verify the correctness of the condition in three bulk dimensions. We describe a six-point correlation function that can diagnose this condition and compute it in two-dimensional CFTs using eikonal resummation.
Text
jhep07(2023)184
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Accepted/In Press date: 11 July 2023
e-pub ahead of print date: 24 July 2023
Published date: 24 July 2023
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Local EPrints ID: 480041
URI: http://eprints.soton.ac.uk/id/eprint/480041
ISSN: 1126-6708
PURE UUID: 2891ed31-d745-4308-bba6-77b77823c65c
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Date deposited: 01 Aug 2023 16:39
Last modified: 17 Mar 2024 04:14
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Author:
Felix Haehl
Author:
Ying Zhao
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