Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexity of quantum motion and quantum-classical correspondence: A
  phase-space approach   We discuss the connection between the out-of-time-ordered correlator and the
number of harmonics of the phase-space Wigner distribution function. In
particular, we show that both quantities grow exponentially for chaotic
dynamics, with a rate determined by the largest Lyapunov exponent of the
underlying classical dynamics, and algebraically -- linearly or quadratically
-- for integrable dynamics. It is then possible to use such quantities to
detect in the time domain the integrability to chaos crossover in many-body
quantum systems.

17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex