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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.
Nomura, Yasunori, Rath, Pratik, & Salzetta, Nico. Pulling the boundary into the bulk. United States. doi:https://doi.org/10.1103/PhysRevD.98.026010
Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Fri . "Pulling the boundary into the bulk". United States. doi:https://doi.org/10.1103/PhysRevD.98.026010.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.1103/PhysRevD.98.026010

Citation Metrics:
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 referenced in this record:

Casting shadows on holographic reconstruction
journal, April 2015


Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
journal, January 2015


Holographic representation of local bulk operators
journal, September 2006


Black Hole Interior in Quantum Gravity
journal, May 2015


Gauge theory correlators from non-critical string theory
journal, May 1998


Spacetime and the Holographic Renormalization Group
journal, November 1999


Average entropy of a subsystem
journal, August 1993


Entanglement Renormalization for Quantum Fields in Real Space
journal, March 2013


Holographic duality from random tensor networks
journal, November 2016

  • Hayden, Patrick; Nezami, Sepehr; Qi, Xiao-Liang
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)009

Classical spacetimes as amplified information in holographic quantum theories
journal, May 2018


Holographic entanglement entropy conjecture for general spacetimes
journal, October 2016


Extremal surface barriers
journal, March 2014


Entanglement Renormalization
journal, November 2007


New constraints for holographic entropy from maximin: A no-go theorem
journal, April 2018


The large $N$ limit of superconformal field theories and supergravity
journal, January 1998


Anti de Sitter space and holography
journal, January 1998


Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014


On the holographic renormalization group
journal, August 2000


Entanglement of purification through holographic duality
journal, March 2018


Refinement of the Bousso-Engelhardt area law
journal, July 2016


A covariant holographic entanglement entropy proposal
journal, July 2007

  • Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
  • Journal of High Energy Physics, Vol. 2007, Issue 07
  • DOI: 10.1088/1126-6708/2007/07/062

Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
journal, July 2016


Local bulk operators in AdS/CFT correspondence: A holographic description of the black hole interior
journal, May 2007


Butterfly velocities for holographic theories of general spacetimes
journal, October 2017

  • Nomura, Yasunori; Salzetta, Nico
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)187

Light-sheets and AdS/CFT
journal, August 2012


Relative entropy equals bulk relative entropy
journal, June 2016

  • Jafferis, Daniel L.; Lewkowycz, Aitor; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2016, Issue 6
  • DOI: 10.1007/JHEP06(2016)004

The gravity dual of a density matrix
journal, July 2012


A note on (no) firewalls: the entropy argument
journal, July 2013


Why firewalls need not exist
journal, October 2016


A remark on the AdS/CFT correspondence and the renormalization group flow
journal, December 1998


Spacetime from unentanglement
journal, May 2018


New Area Law in General Relativity
journal, August 2015


The stretched horizon and black hole complementarity
journal, October 1993


The world as a hologram
journal, November 1995

  • Susskind, Leonard
  • Journal of Mathematical Physics, Vol. 36, Issue 11
  • DOI: 10.1063/1.531249

Generalized second law for cosmology
journal, January 2016


Bulk and transhorizon measurements in AdS/CFT
journal, October 2012

  • Heemskerk, Idse; Marolf, Donald; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)165

Surface/state correspondence as a generalized holography
journal, July 2015

  • Miyaji, Masamichi; Takayanagi, Tadashi
  • Progress of Theoretical and Experimental Physics, Vol. 2015, Issue 7
  • DOI: 10.1093/ptep/ptv089

Holography in general space-times
journal, June 1999


The Ryu–Takayanagi Formula from Quantum Error Correction
journal, May 2017


The Area of Horizons and the Trapped Region
journal, January 2009


Black Holes and Entropy
journal, April 1973


Entwinement and the emergence of spacetime
journal, January 2015

  • Balasubramanian, Vijay; Chowdhury, Borun D.; Czech, Bartłlomiej
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)048

Gravitational stability and renormalization-group flow
journal, November 1999


Particle creation by black holes
journal, June 1976

  • Hawking, S. W.
  • Communications in Mathematical Physics, Vol. 46, Issue 2
  • DOI: 10.1007/BF01608497

Holographic inequalities and entanglement of purification
journal, March 2018


Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006


Causality & holographic entanglement entropy
journal, December 2014

  • Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)162

A covariant entropy conjecture
journal, July 1999


Entanglement of purification: from spin chains to holography
journal, January 2018

  • Nguyen, Phuc; Devakul, Trithep; Halbasch, Matthew G.
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)098

Boundary dual of bulk local operators
journal, July 2017


Bulk locality from modular flow
journal, July 2017

  • Faulkner, Thomas; Lewkowycz, Aitor
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)151

Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
journal, June 2015

  • Pastawski, Fernando; Yoshida, Beni; Harlow, Daniel
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)149

Geometric holography, the renormalization group and the c-theorem
journal, February 1999


Particle creation by black holes
journal, August 1975

  • Hawking, S. W.
  • Communications In Mathematical Physics, Vol. 43, Issue 3
  • DOI: 10.1007/BF02345020

Holographic geometry of entanglement renormalization in quantum field theories
journal, October 2012

  • Nozaki, Masahiro; Ryu, Shinsei; Takayanagi, Tadashi
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)193

Toward a holographic theory for general spacetimes
journal, April 2017


Quantum corrections to holographic entanglement entropy
journal, November 2013

  • Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)074

Holographic probes of collapsing black holes
journal, March 2014

  • Hubeny, Veronika E.; Maxfield, Henry
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)097

Linearity of holographic entanglement entropy
journal, February 2017

  • Almheiri, Ahmed; Dong, Xi; Swingle, Brian
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)074

The holographic entropy cone
journal, September 2015

  • Bao, Ning; Nezami, Sepehr; Ooguri, Hirosi
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)130

    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