Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenstate thermalization in the Sachdev-Ye-Kitaev model   The eigenstate thermalization hypothesis (ETH) explains how closed unitary
quantum systems can exhibit thermal behavior in pure states. In this work we
examine a recently proposed microscopic model of a black hole in AdS$_2$, the
so-called Sachdev-Ye-Kitaev (SYK) model. We show that this model satisfies the
eigenstate thermalization hypothesis by solving the system in exact
diagonalization. Using these results we also study the behavior, in
eigenstates, of various measures of thermalization and scrambling of
information. We establish that two-point functions in finite-energy eigenstates
approximate closely their thermal counterparts and that information is
scrambled in individual eigenstates. We study both the eigenstates of a single
random realization of the model, as well as the model obtained after averaging
of the random disordered couplings. We use our results to comment on the
implications for thermal states of the dual theory, i.e. the AdS$_2$ black
hole.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci