Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transcritical flow of a Bose-Einstein condensate through a penetrable
  barrier   The problem of the transcritical flow of a Bose-Einstein condensate through a
wide repulsive penetrable barrier is studied analytically using the combination
of the localized "hydraulic" solution of the 1D Gross-Pitaevskii equation and
the solutions of the Whitham modulation equations describing the resolution of
the upstream and downstream discontinuities through dispersive shocks. It is
shown that within the physically reasonable range of parameters the downstream
dispersive shock is attached to the barrier and effectively represents the
train of very slow dark solitons, which can be observed in experiments. The
rate of the soliton emission, the amplitudes of the solitons in the train and
the drag force are determined in terms of the BEC oncoming flow velocity and
the strength of the potential barrier. A good agreement with direct numerical
solutions is demonstrated. Connection with recent experiments is discussed.

30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math