Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phonon-phonon interactions due to non-linear effects in a linear ion
  trap   We examine in detail the theory of the intrinsic non-linearities in the
dynamics of trapped ions due to the Coulomb interaction. In particular the
possibility of mode-mode coupling, which can be a source of decoherence in
trapped ion quantum computation, or, alternatively, can be exploited for
parametric down-conversion of phonons, is discussed and conditions under which
such coupling is possible are derived.

20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat