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Title: Pulling the boundary into the bulk

Abstract

Motivated by the ability to consistently apply the Ryu-Takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks, we introduce a novel, covariant bulk object - the holographic slice. The holographic slice is found by considering the continual removal of short-range information in a boundary state. It thus provides a natural interpretation as the bulk dual of a series of coarse-grained holographic states. The slice possesses many desirable properties that provide consistency checks for its boundary interpretation. These include the monotonicity of both area and entanglement entropy, uniqueness, and the inability to probe beyond late-time black hole horizons. Additionally, the holographic slice illuminates physics behind entanglement shadows, as minimal-area extremal surfaces anchored to a coarse-grained boundary may probe entanglement shadows. This lets the slice flow through shadows. To aid in developing intuition for these slices, many explicit examples of holographic slices are investigated. Finally, the relationship to tensor networks and renormalization (particularly in AdS/CFT) is discussed.

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1459238
Alternate Identifier(s):
OSTI ID: 1506336
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 2; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Pulling the boundary into the bulk. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.026010.
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Nomura, Yasunori, Rath, Pratik, & Salzetta, Nico. Pulling the boundary into the bulk. United States. https://doi.org/10.1103/PhysRevD.98.026010
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Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Fri . "Pulling the boundary into the bulk". United States. https://doi.org/10.1103/PhysRevD.98.026010.
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@article{osti_1459238,
title = {Pulling the boundary into the bulk},
author = {Nomura, Yasunori and Rath, Pratik and Salzetta, Nico},
abstractNote = {Motivated by the ability to consistently apply the Ryu-Takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks, we introduce a novel, covariant bulk object - the holographic slice. The holographic slice is found by considering the continual removal of short-range information in a boundary state. It thus provides a natural interpretation as the bulk dual of a series of coarse-grained holographic states. The slice possesses many desirable properties that provide consistency checks for its boundary interpretation. These include the monotonicity of both area and entanglement entropy, uniqueness, and the inability to probe beyond late-time black hole horizons. Additionally, the holographic slice illuminates physics behind entanglement shadows, as minimal-area extremal surfaces anchored to a coarse-grained boundary may probe entanglement shadows. This lets the slice flow through shadows. To aid in developing intuition for these slices, many explicit examples of holographic slices are investigated. Finally, the relationship to tensor networks and renormalization (particularly in AdS/CFT) is discussed.},
doi = {10.1103/PhysRevD.98.026010},
journal = {Physical Review D},
number = 2,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}
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https://doi.org/10.1103/PhysRevD.98.026010
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Cited by: 12 works
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Figures / Tables:

FIG. 1. FIG. 1.: $R(B_δ)$ is the entanglement wedge associated with the new leaf $σ^1_C$, where we have taken $C(p) = B_δ(p)$. It is formed by intersecting the entanglement wedges associated with the complements of spherical subregions of size $δ$ on the original leaf $σ$.
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    Works referencing / citing this record:

    Entanglement of Purification in Many Body Systems and Symmetry Breaking
    journal, May 2019

    Losing the IR: a holographic framework for area theorems
    journal, January 2019

    Holographic entanglement contour, bit threads, and the entanglement tsunami
    journal, July 2019

    • Kudler-Flam, Jonah; MacCormack, Ian; Ryu, Shinsei
    • Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 32
    • DOI: 10.1088/1751-8121/ab2dae

    Comments on holographic entanglement entropy in T T deformed conformal field theories
    journal, July 2019

    Reanalyzing an evaporating black hole
    journal, April 2019

    Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
    journal, May 2019

    Holographic Entanglement of Purification from Conformal Field Theories
    journal, March 2019

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