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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]
  1. Princeton Univ., NJ (United States)
  2. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics. Dept. of Physics
  3. California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics. 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)
OSTI Identifier:
1646615
Grant/Contract Number:  
SC0019380; 1720504
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2020; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English

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.
Chen, Yiming, Qi, Xiao-Liang, & Zhang, Pengfei. Replica wormhole and information retrieval in the SYK model coupled to Majorana chains. United States. doi:10.1007/JHEP06(2020)121.
Chen, Yiming, Qi, Xiao-Liang, and Zhang, Pengfei. Fri . "Replica wormhole and information retrieval in the SYK model coupled to Majorana chains". United States. doi:10.1007/JHEP06(2020)121. https://www.osti.gov/servlets/purl/1646615.
@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)},
issn = {1029-8479},
number = 6,
volume = 2020,
place = {United States},
year = {2020},
month = {6}
}

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