Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gardiner's phonon for Bose-Einstein Condensation: A physical realization
  of the $q$-deformed Boson   The Gardiner's phonon presented for a particle-number conserving
approximation method to describe the dynamics of Bose-Einstein Condesation
(BEC) (C.W. Gardiner, Phys. Rev. A 56, 1414 (1997)) is shown to be a physical
realization of the $q$-deformed boson, which was abstractly developed in
quantum group theory. On this observation, the coherent output of BEC atoms
driven by a radio frequency (r.f) field is analyzed in the viewpoint of a
$q$-deformed Fock space. It is illustrated that the $q$-deformation of bosonic
commutation relation corresponds to the non-ideal BEC with the finite particle
number $N$ of condensated atoms. Up to order 1/N, the coherent output state of
the untrapped atoms minimizes the uncertainty relation like a coherent state
does in the ideal case of BEC that $N$ approaches infinity or $q=1-2/N$
approaches one.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an