Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Replica wormhole and information retrieval in the SYK model coupled to
  Majorana chains   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 R\'{e}nyi entropy of the Sachdev-Ye-Kitaev (SYK)
model ($\chi$) coupled to a Majorana chain bath ($\psi$). 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 R\'{e}nyi entropy
$S^{(2)}_{\chi_L, \chi_R}$ 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.

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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
2
The categories of this paper are: math
19
The categories of this paper are: eess