Size and momentum of an infalling particle in the black hole interior
Size and momentum of an infalling particle in the black hole interior
The future interior of black holes in AdS/CFT can be described in terms of a quantum circuit. We investigate boundary quantities detecting properties of this quantum circuit. We discuss relations between operator size, quantum complexity, and the momentum of an infalling particle in the black hole interior. We argue that the trajectory of the infalling particle in the interior close to the horizon is related to the growth of operator size. The notion of size here differs slightly from the size which has previously been related to momentum of exterior particles and provides an interesting generalization. The fact that both exterior and interior momentum are related to operator size growth is a manifestation of complementarity.
hep-th, gr-qc, quant-ph
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Zhao, Ying
f7e965ce-4cc7-4489-8683-644d85b58137
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Zhao, Ying
f7e965ce-4cc7-4489-8683-644d85b58137
Haehl, Felix M. and Zhao, Ying
(2021)
Size and momentum of an infalling particle in the black hole interior.
J. High Energ. Phys., 56.
(doi:10.1007/JHEP06(2021)056).
Abstract
The future interior of black holes in AdS/CFT can be described in terms of a quantum circuit. We investigate boundary quantities detecting properties of this quantum circuit. We discuss relations between operator size, quantum complexity, and the momentum of an infalling particle in the black hole interior. We argue that the trajectory of the infalling particle in the interior close to the horizon is related to the growth of operator size. The notion of size here differs slightly from the size which has previously been related to momentum of exterior particles and provides an interesting generalization. The fact that both exterior and interior momentum are related to operator size growth is a manifestation of complementarity.
Text
JHEP06(2021)056
- Version of Record
More information
Accepted/In Press date: 22 May 2021
e-pub ahead of print date: 8 June 2021
Additional Information:
18 Pages, 10 figures. v2: published version
Keywords:
hep-th, gr-qc, quant-ph
Identifiers
Local EPrints ID: 470336
URI: http://eprints.soton.ac.uk/id/eprint/470336
PURE UUID: d0475f60-2c4b-4cfa-ab60-9b96d9f08e68
Catalogue record
Date deposited: 06 Oct 2022 16:55
Last modified: 17 Mar 2024 04:14
Export record
Altmetrics
Contributors
Author:
Felix M. Haehl
Author:
Ying Zhao
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics