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Title: Replica wormhole and information retrieval in the SYK model coupled to Majorana chains

Abstract

Motivated by recent studies of the information paradox in (1+1)-D anti-de Sitter spacetime with a bath described by a (1+1)-D conformal field theory, we study the dynamics of second Ŕenyi entropy of the Sachdev-Ye-Kitaev (SYK) model (χ) coupled to a Majorana chain bath (ψ). The system is prepared in the thermofield double (TFD) state and then evolved by HL + HR. For small system-bath coupling, we find that the second Rényi entropy $$S^(2)_{χL,χR}$$ of the SYK model undergoes a first order transition during the evolution. In the sense of holographic duality, the long-time solution corresponds to a “replica wormhole”. The transition time corresponds to the Page time of a black hole coupled to a thermal bath. We further study the information scrambling and retrieval by introducing a classical control bit, which controls whether or not we add a perturbation in the SYK system. The mutual information between the bath and the control bit shows a positive jump at the Page time, indicating that the entanglement wedge of the bath includes an island in the holographic bulk.

Authors:
 [1];  [2]; ORCiD logo [3]
+ Show Author Affiliations
  1. Princeton Univ., NJ (United States)
  2. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics and Dept. of Physics
  3. California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics and Inst. for Quantum Information and Matter
Publication Date:
Research Org.:
Univ. of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation
OSTI Identifier:
1646615
Grant/Contract Number:  
SC0019380; 1720504
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: 2020; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; AdS-CFT Correspondence; 2D Gravity

Citation Formats

Chen, Yiming, Qi, Xiao-Liang, and Zhang, Pengfei. Replica wormhole and information retrieval in the SYK model coupled to Majorana chains. United States: N. p., 2020. Web. doi:10.1007/JHEP06(2020)121.
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Chen, Yiming, Qi, Xiao-Liang, & Zhang, Pengfei. Replica wormhole and information retrieval in the SYK model coupled to Majorana chains. United States. https://doi.org/10.1007/JHEP06(2020)121
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Chen, Yiming, Qi, Xiao-Liang, and Zhang, Pengfei. Fri . "Replica wormhole and information retrieval in the SYK model coupled to Majorana chains". United States. https://doi.org/10.1007/JHEP06(2020)121. https://www.osti.gov/servlets/purl/1646615.
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@article{osti_1646615,
title = {Replica wormhole and information retrieval in the SYK model coupled to Majorana chains},
author = {Chen, Yiming and Qi, Xiao-Liang and Zhang, Pengfei},
abstractNote = {Motivated by recent studies of the information paradox in (1+1)-D anti-de Sitter spacetime with a bath described by a (1+1)-D conformal field theory, we study the dynamics of second Ŕenyi entropy of the Sachdev-Ye-Kitaev (SYK) model (χ) coupled to a Majorana chain bath (ψ). The system is prepared in the thermofield double (TFD) state and then evolved by HL + HR. For small system-bath coupling, we find that the second Rényi entropy $S^(2)_{χL,χR}$ of the SYK model undergoes a first order transition during the evolution. In the sense of holographic duality, the long-time solution corresponds to a “replica wormhole”. The transition time corresponds to the Page time of a black hole coupled to a thermal bath. We further study the information scrambling and retrieval by introducing a classical control bit, which controls whether or not we add a perturbation in the SYK system. The mutual information between the bath and the control bit shows a positive jump at the Page time, indicating that the entanglement wedge of the bath includes an island in the holographic bulk.},
doi = {10.1007/JHEP06(2020)121},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2020,
place = {United States},
year = {Fri Jun 19 00:00:00 EDT 2020},
month = {Fri Jun 19 00:00:00 EDT 2020}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/JHEP06(2020)121
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Cited by: 41 works
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Figures / Tables:

Figure 1 Figure 1: The graphical representations of (a) the |TFD(t)〉 state and (b) the reduced density operator ρχL,χR(t).
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Works referenced in this record:

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

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

  • Almheiri, Ahmed; Mahajan, Raghu; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2020, Issue 3
  • DOI: 10.1007/JHEP03(2020)149

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

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

  • Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald
  • Journal of High Energy Physics, Vol. 2019, Issue 12
  • DOI: 10.1007/JHEP12(2019)063

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

Pulling out the island with modular flow
journal, March 2020

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

  • Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2020, Issue 5
  • DOI: 10.1007/JHEP05(2020)013

Tunable quantum chaos in the Sachdev-Ye-Kitaev model coupled to a thermal bath
journal, July 2017

  • Chen, Yiming; Zhai, Hui; Zhang, Pengfei
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)150

Information radiation in BCFT models of black holes
journal, May 2020

  • Rozali, Moshe; Sully, James; Van Raamsdonk, Mark
  • Journal of High Energy Physics, Vol. 2020, Issue 5
  • DOI: 10.1007/JHEP05(2020)004

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

Generalized gravitational entropy
journal, August 2013

  • Lewkowycz, Aitor; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2013, Issue 8
  • DOI: 10.1007/JHEP08(2013)090

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

Black holes: complementarity or firewalls?
journal, February 2013

  • Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2013, Issue 2
  • DOI: 10.1007/JHEP02(2013)062

Particle creation by black holes
journal, August 1975

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

Aspects of holographic entanglement entropy
journal, August 2006

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
journal, May 2018

  • Kitaev, Alexei; Suh, S. Josephine
  • Journal of High Energy Physics, Vol. 2018, Issue 5
  • DOI: 10.1007/JHEP05(2018)183

Evaporation dynamics of the Sachdev-Ye-Kitaev model
journal, December 2019

Average entropy of a subsystem
journal, August 1993

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

Large breakdowns of entanglement wedge reconstruction
journal, December 2019

Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
journal, November 2019

Spread of entanglement in a Sachdev-Ye-Kitaev chain
journal, September 2017

  • Gu, Yingfei; Lucas, Andrew; Qi, Xiao-Liang
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)120

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
journal, November 2016

  • Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin
  • Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
  • DOI: 10.1093/ptep/ptw124
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    Figures / Tables found in this record:

    Figure 1 (p. 6)figure
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    Figure 3 (p. 10)figure
    Figure 4 (p. 11)figure
    Figure 5 (p. 12)figure
    Figure 6 (p. 13)figure
    Figure 7 (p. 14)figure
    Figure 8 (p. 15)figure
    Figure 10 (p. 16)figure
    Figure 9 (p. 16)figure
    Figure 11 (p. 17)figure
    Figure 12 (p. 19)figure
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