Non-local entanglement and fast scrambling in de-Sitter holography

Journal Article · Mon Mar 15 04:00:00 EDT 2021 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2021.168402· OSTI ID:23183256

Geng, Hao ^[1]

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1. Department of Physics, University of Washington, Seattle, WA, 98195-1560 (United States)

We study holographic entanglement and information scrambling in de-Sitter (dS) space in the context of the DS/dS correspondence. We find that our previously identified non-local entanglement structure of dS vacua can be extended out of the time-reflection symmetric slice. We extend the geometry to a two-sided configuration and calculate the zero-time mutual information between two intervals on different sides when there is a localized shock wave in the bulk. Interestingly, we find that the information scrambling time saturates the fast scrambler bound proposed by Sekino and Susskind and that the shock wave renders a wormhole to be traversable. Furthermore, we calculate a two-sided out-of-time-ordered correlator (OTOC) in the late time regime and we see that, before scrambling, it exponentially grows with an exponent whose value saturates the maximal bound of chaos proposed by Maldacena, Shenker and Stanford. At the end, we provide an explanation why the exponential growing of the late-time OTOC with the maximal bound of chaos saturated and the traversability of the wormhole are simple results of the non-local entanglement structure and we point out that this is a realization of the ER=EPR proposal.

• OSTI ID: 23183256
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 426; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DE SITTER GROUP
DE SITTER SPACE
GEOMETRY
HOLOGRAPHY
QUANTUM ENTANGLEMENT
SHOCK WAVES