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

Chen, Yiming and Qi, Xiao-Liang and Zhang, Pengfei (2020) Replica wormhole and information retrieval in the SYK model coupled to Majorana chains. Journal of High Energy Physics, 2020 (6). Art. No. 121. ISSN 1029-8479.

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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 H_L + H_R. 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.

Item Type:Article
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URLURL TypeDescription Paper
Zhang, Pengfei0000-0002-7408-0918
Additional Information:© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: April 22, 2020. Accepted: June 3, 2020. Published: June 19, 2020. We thank Pouria Dadras, Yingfei Gu, Alexei Kitaev, Juan Maldacena, Stephen Shenker, Douglas Stanford, Zhenbin Yang, Shunyu Yao and Hui Zhai for helpful discussions. We thank Arjun Nachiket for suggestions on the manuscript. PZ would like to thank Pouria Dadras and Alexei Kitaev for discussions on their ongoing work, which focus on the von Neumann entropy dynamics of the coupled SYK models. This work is supported by the National Science Foundation Grant No. 1720504 and the Simons Foundation. This work is also supported in part by the DOE Office of Science, Office of High Energy Physics, the grant DE-SC0019380.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0019380
Subject Keywords:1/N Expansion, AdS-CFT Correspondence, 2D Gravity
Issue or Number:6
Record Number:CaltechAUTHORS:20200624-104212537
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Official Citation:Chen, Y., Qi, X. & Zhang, P. Replica wormhole and information retrieval in the SYK model coupled to Majorana chains. J. High Energ. Phys. 2020, 121 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104003
Deposited By: George Porter
Deposited On:24 Jun 2020 19:37
Last Modified:24 Jun 2020 19:37

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