Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An implementation of the polynomial Lie algebra methods for solving a
  class of nonlinear models in quantum optics   We develop some calculation schemes to determine dynamics of a wide class of
integrable quantum-optical models using their symmetry adapted reformulation in
terms of polynomial Lie algebras $su_{pd}(2)$. These schemes, based on
"diagonal" representations of model evolution operators (via diagonalizing
Hamiltonians with the help of the $su_{pd}(2)$ defining relations), are
implemented in the form adapted for numerical calculations. Their efficiency is
demonstrated on the example of the second-harmonic-generation model.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio