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- Title
Replica wormhole and information retrieval in the SYK model coupled to Majorana chains.
- Authors
Chen, Yiming; Qi, Xiao-Liang; Zhang, Pengfei
- 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 χ L , χ R 2 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.
- Subjects
INFORMATION retrieval; MAJORANA fermions; BLACK holes; SHOW jumping; HOLOGRAPHIC gratings
- Publication
Journal of High Energy Physics, 2020, Vol 2020, Issue 6, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP06(2020)121