Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy diffusion in strongly driven quantum chaotic systems: Role of
  correlations of the matrix elements   The energy evolution of a quantum chaotic system under the perturbation that
harmonically depends on time is studied for the case of large perturbation, in
which the rate of transition calculated from the Fermi golden rule (FGR) is
about or exceeds the frequency of perturbation. For this case the models of
Hamiltonian with random non-correlated matrix elements demonstrate that the
energy evolution retains its diffusive character, but the rate of diffusion
increases slower than the square of the magnitude of perturbation, thus
destroying the quantum-classical correspondence for the energy diffusion and
the energy absorption in the classical limit $\hbar \to 0$. The numerical
calculation carried out for a model built from the first principles (the
quantum analog of the Pullen - Edmonds oscillator) demonstrates that the
evolving energy distribution, apart from the diffusive component, contains a
ballistic one with the energy dispersion that is proportional to the square of
time. This component originates from the chains of matrix elements with
correlated signs and vanishes if the signs of matrix elements are randomized.
The presence of the ballistic component formally extends the applicability of
the FGR to the non-perturbative domain and restores the quantum-classical
correspondence.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
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
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex