Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of a model quantum system under time periodic forcing:
  conditions for complete ionization   We analyze the time evolution of a one-dimensional quantum system with an
attractive delta function potential whose strength is subjected to a time
periodic (zero mean) parametric variation $\eta(t)$. We show that for generic
$\eta(t)$, which includes the sum of any finite number of harmonics, the
system, started in a bound state will get fully ionized as $t\to\infty$. This
is irrespective of the magnitude or frequency (resonant or not) of $\eta(t)$.
There are however exceptional, very non-generic $\eta(t)$, that do not lead to
full ionization, which include rather simple explicit periodic functions. For
these $\eta(t)$ the system evolves to a nontrivial localized stationary state
which is related to eigenfunctions of the Floquet operator.

34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
18
The categories of this paper are: econ
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom