Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic dynamics of the alternate degrees of freedom for a two-mode
  system: an analytically solvable model   The composite systems can be non-uniquely decomposed into parts (subsystems).
Not all decompositions (structures) of a composite system are equally
physically relevant. In this paper we answer on theoretical ground why it may
be so. We consider a pair of mutually un-coupled modes in the phase space
representation that are subjected to the independent quantum amplitude damping
channels. By investigating asymptotic dynamics of the degrees of freedom, we
find that the environment is responsible for the structures non-equivalence.
Only one structure is distinguished by both locality of the environmental in
uence on its subsystems and a classical-like description.

4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph