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Title: Scrambling in two-dimensional conformal field theories with light and smeared operators

Abstract

We study quantum chaos in two-dimensional conformal field theories, building on the work analyzing the out-of-time order thermal correlation functions using large-c Virasoro blocks. Our work investigates the contribution of light intermediate channels and smearing length scales to the four-point function and scrambling. Precise relations for how light intermediate channels increase the scrambling time and how smearing length scales smaller than the thermal length scale decrease the scrambling time are derived.

Authors:
; ;
Publication Date:
Research Org.:
Brandeis Univ., Waltham, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1514733
Alternate Identifier(s):
OSTI ID: 1611291
Grant/Contract Number:  
SC0009987; PHY-1748958
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 10; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics; Conformal field theory

Citation Formats

Hampapura, Harsha R., Rolph, Andrew, and Stoica, Bogdan. Scrambling in two-dimensional conformal field theories with light and smeared operators. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.106010.
Hampapura, Harsha R., Rolph, Andrew, & Stoica, Bogdan. Scrambling in two-dimensional conformal field theories with light and smeared operators. United States. https://doi.org/10.1103/PhysRevD.99.106010
Hampapura, Harsha R., Rolph, Andrew, and Stoica, Bogdan. Mon . "Scrambling in two-dimensional conformal field theories with light and smeared operators". United States. https://doi.org/10.1103/PhysRevD.99.106010.
@article{osti_1514733,
title = {Scrambling in two-dimensional conformal field theories with light and smeared operators},
author = {Hampapura, Harsha R. and Rolph, Andrew and Stoica, Bogdan},
abstractNote = {We study quantum chaos in two-dimensional conformal field theories, building on the work analyzing the out-of-time order thermal correlation functions using large-c Virasoro blocks. Our work investigates the contribution of light intermediate channels and smearing length scales to the four-point function and scrambling. Precise relations for how light intermediate channels increase the scrambling time and how smearing length scales smaller than the thermal length scale decrease the scrambling time are derived.},
doi = {10.1103/PhysRevD.99.106010},
journal = {Physical Review D},
number = 10,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.99.106010

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Cited by: 3 works
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Works referenced in this record:

Black holes as mirrors: quantum information in random subsystems
journal, September 2007


Towards the fast scrambling conjecture
journal, April 2013

  • Lashkari, Nima; Stanford, Douglas; Hastings, Matthew
  • Journal of High Energy Physics, Vol. 2013, Issue 4
  • DOI: 10.1007/JHEP04(2013)022

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


A quantum correction to chaos
journal, May 2016

  • Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)070

Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory
journal, September 2015


Universality of long-distance AdS physics from the CFT bootstrap
journal, August 2014

  • Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)145

Conformal symmetry in two-dimensional space: Recursion representation of conformal block
journal, October 1987

  • Zamolodchikov, Al. B.
  • Theoretical and Mathematical Physics, Vol. 73, Issue 1
  • DOI: 10.1007/BF01022967

A bound on chaos
journal, August 2016

  • Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)106

Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories
journal, November 2011


Notes on scrambling in conformal field theory
journal, December 2018


Multiple shocks
journal, December 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)046

Black holes and the butterfly effect
journal, March 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)067

Stringy effects in scrambling
journal, May 2015

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)132

Fast scramblers
journal, October 2008


Bounding the space of holographic CFTs with chaos
journal, October 2016


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


Disrupting entanglement of black holes
journal, August 2014


Localized shocks
journal, March 2015

  • Roberts, Daniel A.; Stanford, Douglas; Susskind, Leonard
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)051

Mutual information after a local quench in conformal field theory
journal, March 2014


Entanglement growth during thermalization in holographic systems
journal, March 2014


Onset of many-body chaos in the O ( N ) model
journal, September 2017


Thermalization of Strongly Coupled Field Theories
journal, May 2011


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


Entanglement Tsunami: Universal Scaling in Holographic Thermalization
journal, January 2014


Holographic geometry of cMERA for quantum quenches and finite temperature
journal, March 2014

  • Mollabashi, Ali; Naozaki, Masahiro; Ryu, Shinsei
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)098