Butterfly velocities for holographic theories of general spacetimes

Nomura, Yasunori; Salzetta, Nico

doi:10.1007/JHEP10(2017)187

Title: Butterfly velocities for holographic theories of general spacetimes

Abstract

The butterfly velocity characterizes the spread of correlations in a quantum system. Recent work has provided a method of calculating the butterfly velocity of a class of boundary operators using holographic duality. Utilizing this and a presumed extension of the canonical holographic correspondence of AdS/CFT, we investigate the butterfly velocities of operators with bulk duals living in general spacetimes. We analyze some ubiquitous issues in calculating butterfly velocities using the bulk effective theory, and then extend the previously proposed method to include operators in entanglement shadows. Here in this paper, we explicitly compute butterfly velocities for bulk local operators in the holographic theory of flat Friedmann-Robertson-Walker spacetimes and find a universal scaling behavior for the spread of operators in the boundary theory, independent of dimension and fluid components. This result may suggest that a Lifshitz field theory with z = 4 is the appropriate holographic dual for these spacetimes.

Authors:

^[1];

^[2]

Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics, Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Tokyo (Japan). Kavli Inst. for the Physics and Mathematics of the Universe (WPI)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Tokyo (Japan). Kavli Inst. for the Physics and Mathematics of the Universe (WPI)

Publication Date:: 2017-10-01

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

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

OSTI Identifier:: 1421810

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

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 79 ASTRONOMY AND ASTROPHYSICS; Models of Quantum Gravity; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)

Citation Formats


                    Nomura, Yasunori, and Salzetta, Nico. Butterfly velocities for holographic theories of general spacetimes.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP10(2017)187.

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                    Nomura, Yasunori, & Salzetta, Nico. Butterfly velocities for holographic theories of general spacetimes.  United States.  https://doi.org/10.1007/JHEP10(2017)187

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                    Nomura, Yasunori, and Salzetta, Nico. Sun .  
"Butterfly velocities for holographic theories of general spacetimes".  United States.  https://doi.org/10.1007/JHEP10(2017)187.  https://www.osti.gov/servlets/purl/1421810.

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@article{osti_1421810,

  title        = {Butterfly velocities for holographic theories of general spacetimes},

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

  abstractNote = {The butterfly velocity characterizes the spread of correlations in a quantum system. Recent work has provided a method of calculating the butterfly velocity of a class of boundary operators using holographic duality. Utilizing this and a presumed extension of the canonical holographic correspondence of AdS/CFT, we investigate the butterfly velocities of operators with bulk duals living in general spacetimes. We analyze some ubiquitous issues in calculating butterfly velocities using the bulk effective theory, and then extend the previously proposed method to include operators in entanglement shadows. Here in this paper, we explicitly compute butterfly velocities for bulk local operators in the holographic theory of flat Friedmann-Robertson-Walker spacetimes and find a universal scaling behavior for the spread of operators in the boundary theory, independent of dimension and fluid components. This result may suggest that a Lifshitz field theory with z = 4 is the appropriate holographic dual for these spacetimes.},

  doi          = {10.1007/JHEP10(2017)187},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 10,

  volume       = 2017,

  place        = {United States},

  year         = {2017},

  month        = {10}

}

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Works referenced in this record:

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Works referencing / citing this record:

Spacetime from unentanglement
journal, May 2018

Nomura, Yasunori; Rath, Pratik; Salzetta, Nico
Physical Review D, Vol. 97, Issue 10
DOI: 10.1103/physrevd.97.106010

Pulling the boundary into the bulk
journal, July 2018

Nomura, Yasunori; Rath, Pratik; Salzetta, Nico
Physical Review D, Vol. 98, Issue 2
DOI: 10.1103/physrevd.98.026010

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Title: Butterfly velocities for holographic theories of general spacetimes

Abstract

Citation Formats

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

Holographic representation of local bulk operators journal, September 2006

The gravity dual of a density matrix journal, July 2012

The holographic principle journal, August 2002

New Area Law in General Relativity journal, August 2015

Localized shocks journal, March 2015

Bulk locality from modular flow journal, July 2017

A covariant holographic entanglement entropy proposal journal, July 2007

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

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

The world as a hologram journal, November 1995

Holography in general space-times journal, June 1999

Toward a holographic theory for general spacetimes journal, April 2017

Holographic duality from random tensor networks journal, November 2016

Black holes and the butterfly effect journal, March 2014

Proof of a new area law in general relativity journal, August 2015

A Covariant Holographic Entanglement Entropy Proposal text, January 2007

Holographic duality from random tensor networks text, January 2016

Toward a Holographic Theory for General Spacetimes text, January 2016

The holographic principle text, January 2002

Holographic representation of local bulk operators text, January 2006

The World as a Hologram text, January 1994

Holography in General Space-times text, January 1999

Spacetime from unentanglement journal, May 2018

Pulling the boundary into the bulk journal, July 2018

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

Holographic representation of local bulk operators
journal, September 2006

The gravity dual of a density matrix
journal, July 2012

The holographic principle
journal, August 2002

New Area Law in General Relativity
journal, August 2015

Localized shocks
journal, March 2015

Bulk locality from modular flow
journal, July 2017

A covariant holographic entanglement entropy proposal
journal, July 2007

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

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

The world as a hologram
journal, November 1995

Holography in general space-times
journal, June 1999

Toward a holographic theory for general spacetimes
journal, April 2017

Holographic duality from random tensor networks
journal, November 2016

Black holes and the butterfly effect
journal, March 2014

Proof of a new area law in general relativity
journal, August 2015

A Covariant Holographic Entanglement Entropy Proposal
text, January 2007

Holographic duality from random tensor networks
text, January 2016

Toward a Holographic Theory for General Spacetimes
text, January 2016

The holographic principle
text, January 2002

Holographic representation of local bulk operators
text, January 2006

The World as a Hologram
text, January 1994

Holography in General Space-times
text, January 1999

Spacetime from unentanglement
journal, May 2018

Pulling the boundary into the bulk
journal, July 2018