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Going beyond ER=EPR in the SYK model

Berkooz, Micha; Brukner, Nadav; Ross, Simon F.; Watanabe, Masataka

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Authors

Micha Berkooz

Nadav Brukner

Masataka Watanabe



Abstract

We discuss generalizations of the TFD to a density matrix on the doubled Hilbert space. We suggest that a semiclassical wormhole corresponds to a certain class of such density matrices, and specify how they are constructed. Different semi-classical profiles correspond to different non-overlapping density matrices. We show that this language allows for a finer criteria for when the wormhole is semiclassical, which goes beyond entanglement. Our main tool is the SYK model. We focus on the simplest class of such density matrices, in a scaling limit where the ER bridge is captured by chords going from one space to another, encoding correlations in the microscopic Hamiltonian. The length of the wormhole simply encodes the extent these correlations are eroded when flowing from one side to the other.

Citation

Berkooz, M., Brukner, N., Ross, S. F., & Watanabe, M. (2022). Going beyond ER=EPR in the SYK model. Journal of High Energy Physics, 2022(8), Article 51. https://doi.org/10.1007/jhep08%282022%29051

Journal Article Type Article
Acceptance Date Jun 24, 2022
Online Publication Date Aug 3, 2022
Publication Date 2022-08
Deposit Date Aug 5, 2022
Publicly Available Date Aug 5, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 8
Article Number 51
DOI https://doi.org/10.1007/jhep08%282022%29051

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.







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