Spacetime from unentanglement

Nomura, Yasunori; Rath, Pratik; Salzetta, Nico

doi:10.1103/PhysRevD.97.106010

Title: Spacetime from unentanglement

Abstract

The past decade has seen a tremendous effort toward unraveling the relationship between entanglement and emergent spacetime. These investigations have revealed that entanglement between holographic degrees of freedom is crucial for the existence of bulk spacetime. We examine this connection from the other end of the entanglement spectrum and clarify the assertion that maximally entangled states have no reconstructable spacetime. To do so, we first define the conditions for bulk reconstructability. Under these terms, we scrutinize two cases of maximally entangled holographic states. One is the familiar example of AdS black holes; these are dual to thermal states of the boundary conformal field theory. Sending the temperature to the cutoff scale makes the state maximally entangled and the respective black hole consumes the spacetime. We then examine the de Sitter limit of Friedmann-Robertson-Walker (FRW) spacetimes. This limit is maximally entangled if one formulates the boundary theory on the holographic screen. Paralleling the anti-de Sitter (AdS) black hole, we find the resulting reconstructable region of spacetime vanishes. Motivated by these results, we prove a theorem showing that maximally entangled states have no reconstructable spacetime. Evidently, the emergence of spacetime is endemic to intermediate entanglement. By studying the manner in which intermediatemore »« less

Authors:: Nomura, Yasunori; Rath, Pratik; Salzetta, Nico

Publication Date:: Wed May 16 00:00:00 EDT 2018

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

OSTI Identifier:: 1437327

Alternate Identifier(s):: OSTI ID: 1461147

Grant/Contract Number:: AC02-05CH11231; 15H05895; PHY-1521446

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 10; 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. Spacetime from unentanglement.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.106010.

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                    Nomura, Yasunori, Rath, Pratik, & Salzetta, Nico. Spacetime from unentanglement.  United States.  https://doi.org/10.1103/PhysRevD.97.106010

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                    Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Wed .  
"Spacetime from unentanglement".  United States.  https://doi.org/10.1103/PhysRevD.97.106010.

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@article{osti_1437327,

  title        = {Spacetime from unentanglement},

  author       = {Nomura, Yasunori and Rath, Pratik and Salzetta, Nico},

  abstractNote = {The past decade has seen a tremendous effort toward unraveling the relationship between entanglement and emergent spacetime. These investigations have revealed that entanglement between holographic degrees of freedom is crucial for the existence of bulk spacetime. We examine this connection from the other end of the entanglement spectrum and clarify the assertion that maximally entangled states have no reconstructable spacetime. To do so, we first define the conditions for bulk reconstructability. Under these terms, we scrutinize two cases of maximally entangled holographic states. One is the familiar example of AdS black holes; these are dual to thermal states of the boundary conformal field theory. Sending the temperature to the cutoff scale makes the state maximally entangled and the respective black hole consumes the spacetime. We then examine the de Sitter limit of Friedmann-Robertson-Walker (FRW) spacetimes. This limit is maximally entangled if one formulates the boundary theory on the holographic screen. Paralleling the anti-de Sitter (AdS) black hole, we find the resulting reconstructable region of spacetime vanishes. Motivated by these results, we prove a theorem showing that maximally entangled states have no reconstructable spacetime. Evidently, the emergence of spacetime is endemic to intermediate entanglement. By studying the manner in which intermediate entanglement is achieved, we uncover important properties about the boundary theory of FRW spacetimes. With this clarified understanding, our final discussion elucidates the natural way in which holographic Hilbert spaces may house states dual to different geometries. Here, this paper provides a coherent picture clarifying the link between spacetime and entanglement and develops many promising avenues of further work.},

  doi          = {10.1103/PhysRevD.97.106010},

  journal      = {Physical Review D},

  number       = 10,

  volume       = 97,

  place        = {United States},

  year         = {Wed May 16 00:00:00 EDT 2018},

  month        = {Wed May 16 00:00:00 EDT 2018}

}

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Works referenced in this record:

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Works referencing / citing this record:

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

Murdia, Chitraang; Nomura, Yasunori; Rath, Pratik
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Pulling the boundary into the bulk
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Nomura, Yasunori; Rath, Pratik; Salzetta, Nico
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DOI: 10.1103/physrevd.98.026010

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Similar Records

Title: Spacetime from unentanglement

Abstract

Citation Formats

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

Eternal black holes in anti-de Sitter journal, April 2003

Entanglement in Lifshitz-type quantum field theories journal, July 2017

Spacetime and the Holographic Renormalization Group journal, November 1999

Average entropy of a subsystem journal, August 1993

Entanglement is not enough: Entanglement is not enough journal, January 2016

Holographic duality from random tensor networks journal, November 2016

Holographic entanglement entropy conjecture for general spacetimes journal, October 2016

Gapless spin-fluid ground state in a random quantum Heisenberg magnet journal, May 1993

Canonical Typicality journal, February 2006

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

Bulk locality and quantum error correction in AdS/CFT journal, April 2015

Remarks on the necessity and implications of state-dependence in the black hole interior journal, April 2016

Holographic entanglement entropy probes (non)locality journal, April 2008

Volume law for the entanglement entropy in non-local QFTs journal, February 2014

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

Holographic entanglement in a noncommutative gauge theory journal, January 2014

A covariant holographic entanglement entropy proposal journal, July 2007

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

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

Local bulk physics from intersecting modular Hamiltonians journal, June 2017

Quantum Mechanics, Spacetime Locality, and Gravity journal, July 2013

Relative entropy equals bulk relative entropy journal, June 2016

A bound on chaos journal, August 2016

Entanglement and the foundations of statistical mechanics journal, October 2006

The stretched horizon and black hole complementarity journal, October 1993

The world as a hologram journal, November 1995

Holography in general space-times journal, June 1999

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

Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices journal, May 2012

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Remarks on the Sachdev-Ye-Kitaev model journal, November 2016

Holographic entanglement entropy in nonlocal theories journal, October 2013

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

The holographic principle journal, August 2002

Numerical study of fermion and boson models with infinite-range random interactions journal, July 2016

Boundary dual of bulk local operators journal, July 2017

An Alternative to Compactification journal, December 1999

Bulk locality from modular flow journal, July 2017

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

Many-Body Localization and Thermalization in Quantum Statistical Mechanics journal, March 2015

Holographic entanglement entropy on generic time slices journal, June 2017

Chaos and quantum thermalization journal, August 1994

Quantum corrections to holographic entanglement entropy journal, November 2013

Erratum: Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices [Phys. Rev. D 85 , 104049 (2012)] journal, March 2013

Linearity of holographic entanglement entropy journal, February 2017

Entanglement renormalization and holography journal, September 2012

The holographic entropy cone journal, September 2015

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

Pulling the boundary into the bulk journal, July 2018

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

Eternal black holes in anti-de Sitter
journal, April 2003

Entanglement in Lifshitz-type quantum field theories
journal, July 2017

Spacetime and the Holographic Renormalization Group
journal, November 1999

Average entropy of a subsystem
journal, August 1993

Entanglement is not enough: Entanglement is not enough
journal, January 2016

Holographic duality from random tensor networks
journal, November 2016

Holographic entanglement entropy conjecture for general spacetimes
journal, October 2016

Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993

Canonical Typicality
journal, February 2006

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

Bulk locality and quantum error correction in AdS/CFT
journal, April 2015

Remarks on the necessity and implications of state-dependence in the black hole interior
journal, April 2016

Holographic entanglement entropy probes (non)locality
journal, April 2008

Volume law for the entanglement entropy in non-local QFTs
journal, February 2014

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

Holographic entanglement in a noncommutative gauge theory
journal, January 2014

A covariant holographic entanglement entropy proposal
journal, July 2007

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

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

Local bulk physics from intersecting modular Hamiltonians
journal, June 2017

Quantum Mechanics, Spacetime Locality, and Gravity
journal, July 2013

Relative entropy equals bulk relative entropy
journal, June 2016

A bound on chaos
journal, August 2016

Entanglement and the foundations of statistical mechanics
journal, October 2006

The stretched horizon and black hole complementarity
journal, October 1993

The world as a hologram
journal, November 1995

Holography in general space-times
journal, June 1999

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

Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
journal, May 2012

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Remarks on the Sachdev-Ye-Kitaev model
journal, November 2016

Holographic entanglement entropy in nonlocal theories
journal, October 2013

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

The holographic principle
journal, August 2002

Numerical study of fermion and boson models with infinite-range random interactions
journal, July 2016

Boundary dual of bulk local operators
journal, July 2017

An Alternative to Compactification
journal, December 1999

Bulk locality from modular flow
journal, July 2017

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

Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015

Holographic entanglement entropy on generic time slices
journal, June 2017

Chaos and quantum thermalization
journal, August 1994

Quantum corrections to holographic entanglement entropy
journal, November 2013

Erratum: Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices [Phys. Rev. D 85 , 104049 (2012)]
journal, March 2013

Linearity of holographic entanglement entropy
journal, February 2017

Entanglement renormalization and holography
journal, September 2012

The holographic entropy cone
journal, September 2015

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

Pulling the boundary into the bulk
journal, July 2018