Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic Equilibration of R\'enyi Entropies and Replica Wormholes   We study the behavior of R\'enyi entropies for pure states from standard
assumptions about chaos in the high-energy spectrum of the Hamiltonian of a
many-body quantum system. We compute the exact long-time averages of R\'enyi
entropies and show that the quantum noise around these values is exponentially
suppressed in the microcanonical entropy. For delocalized states over the
microcanonical band, the long-time average approximately reproduces the
equilibration proposal of H. Liu and S. Vardhan, with extra structure arising
at the order of non-planar permutations. We analyze the equilibrium
approximation for AdS/CFT systems describing black holes in equilibrium in a
box. We extend our analysis to the situation of an evaporating black hole, and
comment on the possible gravitational description of the new terms in our
approximation.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom