Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical and dynamical properties of the quantum triangle map   We study the statistical and dynamical properties of the quantum triangle
map, whose classical counterpart can exhibit ergodic and mixing dynamics, but
is never chaotic. Numerical results show that ergodicity is a sufficient
condition for spectrum and eigenfunctions to follow the prediction of Random
Matrix Theory, even though the underlying classical dynamics is not chaotic. On
the other hand, dynamical quantities such as the out-of-time-ordered correlator
(OTOC) and the number of harmonics, exhibit a growth rate vanishing in the
semiclassical limit, in agreement with the fact that classical dynamics has
zero Lyapunov exponent. Our finding show that, while spectral statistics can be
used to detect ergodicity, OTOC and number of harmonics are diagnostics of
chaos.

24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th