Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonadiabatic dissociation of molecular condensates: competition between
  multi-mode reaction channels   We formulate and solve a model describing a nonadiabatic dissociation process
of molecular condensates. The dynamical process includes multi-mode reaction
channels, and the competition between channel parameters leads to a non-trivial
dependence on critical components such as path interference and symmetries. We
find an analytical solution under $CPT$ symmetry, where $C$ is charge
conjugation, $P$ is parity, and $T$ is time-reversal symmetry. Our solution
predicts a population imbalance between atomic modes that is exponentially
sensitive to channel parameters. However, a weakly broken symmetry alters the
population at each atomic mode and can reverse the population imbalance. Our
solution also demonstrates a strong quantum correlation between atomic modes
that leads to the spontaneous production of atoms in a multi-mode squeezed
state. Moreover, our results are applicable in solving time-dependent
PT-symmetric quantum mechanics, which naturally manifests in the Heisenberg
picture.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci