Including contributions from entanglement islands to the reflected entropy

Chandrasekaran, Venkatesa; Miyaji, Masamichi; Rath, Pratik

doi:10.1103/PhysRevD.102.086009

Title: Including contributions from entanglement islands to the reflected entropy

Abstract

Recent work has demonstrated the need to include contributions from entanglement islands when computing the entanglement entropy in quantum field theory states coupled to regions of semiclassical gravity. We propose a new formula for the reflected entropy that includes additional contributions from such islands. We derive this formula from the gravitational path integral by finding additional saddles that include generalized replica wormholes. We also demonstrate that our covariant formula satisfies all the inequalities required of the reflected entropy. We use this formula in various examples that demonstrate its relevance in illustrating the structure of multipartite entanglement that are invisible to the entropies.

Authors:

Chandrasekaran, Venkatesa;

;

Publication Date:: Wed Oct 07 00:00:00 EDT 2020

Research Org.:: Univ. of California, Berkeley, CA (United States)

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

OSTI Identifier:: 1670829

Alternate Identifier(s):: OSTI ID: 1701729

Grant/Contract Number:: SC0019380; AC02-05CH11231; PHY1820912

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 8; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Chandrasekaran, Venkatesa, Miyaji, Masamichi, and Rath, Pratik. Including contributions from entanglement islands to the reflected entropy.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.102.086009.

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                    Chandrasekaran, Venkatesa, Miyaji, Masamichi, & Rath, Pratik. Including contributions from entanglement islands to the reflected entropy.  United States.  https://doi.org/10.1103/PhysRevD.102.086009

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                    Chandrasekaran, Venkatesa, Miyaji, Masamichi, and Rath, Pratik. Wed .  
"Including contributions from entanglement islands to the reflected entropy".  United States.  https://doi.org/10.1103/PhysRevD.102.086009.

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@article{osti_1670829,

  title        = {Including contributions from entanglement islands to the reflected entropy},

  author       = {Chandrasekaran, Venkatesa and Miyaji, Masamichi and Rath, Pratik},

  abstractNote = {Recent work has demonstrated the need to include contributions from entanglement islands when computing the entanglement entropy in quantum field theory states coupled to regions of semiclassical gravity. We propose a new formula for the reflected entropy that includes additional contributions from such islands. We derive this formula from the gravitational path integral by finding additional saddles that include generalized replica wormholes. We also demonstrate that our covariant formula satisfies all the inequalities required of the reflected entropy. We use this formula in various examples that demonstrate its relevance in illustrating the structure of multipartite entanglement that are invisible to the entropies.},

  doi          = {10.1103/PhysRevD.102.086009},

  journal      = {Physical Review D},

  number       = 8,

  volume       = 102,

  place        = {United States},

  year         = {Wed Oct 07 00:00:00 EDT 2020},

  month        = {Wed Oct 07 00:00:00 EDT 2020}

}

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Title: Including contributions from entanglement islands to the reflected entropy

Abstract

Citation Formats

CFT sewing as the dual of AdS cut-and-paste journal, February 2020

Entanglement wedge reconstruction and the information paradox journal, September 2020

Multiboundary wormholes and holographic entanglement journal, September 2014

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

Black hole explosions? journal, March 1974

An apologia for firewalls journal, September 2013

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

Holographic duality from random tensor networks journal, November 2016

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

Simple holographic models of black hole evaporation journal, August 2020

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole journal, December 2019

Entanglement of purification in free scalar field theories journal, April 2018

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

Entanglement of purification through holographic duality journal, March 2018

A covariant holographic entanglement entropy proposal journal, July 2007

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

Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories journal, April 2020

Spacetime and universal soft modes: Black holes and beyond journal, March 2020

Aspects of holographic entanglement entropy journal, August 2006

Three qubits can be entangled in two inequivalent ways journal, November 2000

Black holes and random matrices journal, May 2017

Entropy, extremality, euclidean variations, and the equations of motion journal, January 2018

Time evolution of entanglement entropy from black hole interiors journal, May 2013

Quantum maximin surfaces journal, August 2020

The Page curve of Hawking radiation from semiclassical geometry journal, March 2020

Coarse graining holographic black holes journal, May 2019

The gravity dual of a density matrix journal, July 2012

Decoding the Apparent Horizon: Coarse-Grained Holographic Entropy journal, November 2018

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

Replica wormholes and the entropy of Hawking radiation journal, May 2020

Entanglement wedge cross section from CFT: dynamics of local operator quench journal, February 2020

Interior of a unitarily evaporating black hole journal, July 2020

From black hole entropy to energy-minimizing states in QFT journal, February 2020

Multipartite reflected entropy journal, October 2019

Quantum focusing conjecture journal, March 2016

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

Conditional and multipartite entanglements of purification and holography journal, February 2019

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

Entanglement wedge cross sections require tripartite entanglement journal, April 2020

Four qubits can be entangled in nine different ways journal, April 2002

The information paradox: a pedagogical introduction journal, October 2009

Erratum to: Black holes and random matrices journal, September 2018

Correlation measures and distillable entanglement in AdS / CFT journal, February 2020

Comments on entanglement negativity in holographic field theories journal, October 2014

Particle creation by black holes journal, August 1975

Holographic quantum entanglement negativity journal, May 2018

Derivation of Holographic Negativity in AdS 3 / CFT 2 journal, September 2019

Hot multiboundary wormholes from bipartite entanglement journal, October 2015

Entanglement structures in qubit systems journal, August 2015

CFT sewing as the dual of AdS cut-and-paste
journal, February 2020

Entanglement wedge reconstruction and the information paradox
journal, September 2020

Multiboundary wormholes and holographic entanglement
journal, September 2014

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

Black hole explosions?
journal, March 1974

An apologia for firewalls
journal, September 2013

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

Holographic duality from random tensor networks
journal, November 2016

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

Simple holographic models of black hole evaporation
journal, August 2020

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
journal, December 2019

Entanglement of purification in free scalar field theories
journal, April 2018

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

Entanglement of purification through holographic duality
journal, March 2018

A covariant holographic entanglement entropy proposal
journal, July 2007

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

Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
journal, April 2020

Spacetime and universal soft modes: Black holes and beyond
journal, March 2020

Aspects of holographic entanglement entropy
journal, August 2006

Three qubits can be entangled in two inequivalent ways
journal, November 2000

Black holes and random matrices
journal, May 2017

Entropy, extremality, euclidean variations, and the equations of motion
journal, January 2018

Time evolution of entanglement entropy from black hole interiors
journal, May 2013

Quantum maximin surfaces
journal, August 2020

The Page curve of Hawking radiation from semiclassical geometry
journal, March 2020

Coarse graining holographic black holes
journal, May 2019

The gravity dual of a density matrix
journal, July 2012

Decoding the Apparent Horizon: Coarse-Grained Holographic Entropy
journal, November 2018

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

Replica wormholes and the entropy of Hawking radiation
journal, May 2020

Entanglement wedge cross section from CFT: dynamics of local operator quench
journal, February 2020

Interior of a unitarily evaporating black hole
journal, July 2020

From black hole entropy to energy-minimizing states in QFT
journal, February 2020

Multipartite reflected entropy
journal, October 2019

Quantum focusing conjecture
journal, March 2016

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journal, May 2006

Conditional and multipartite entanglements of purification and holography
journal, February 2019

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

Entanglement wedge cross sections require tripartite entanglement
journal, April 2020

Four qubits can be entangled in nine different ways
journal, April 2002

The information paradox: a pedagogical introduction
journal, October 2009

Erratum to: Black holes and random matrices
journal, September 2018

Correlation measures and distillable entanglement in $AdS / CFT$
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Comments on entanglement negativity in holographic field theories
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journal, August 1975

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journal, May 2018

Derivation of Holographic Negativity in ${AdS}_{3} / {CFT}_{2}$
journal, September 2019

Hot multiboundary wormholes from bipartite entanglement
journal, October 2015

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journal, August 2015