Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditions of Low Dimensionality for Strongly Interacting Atoms Under a
  Transverse Trap   For a dilute atomic gas in a strong transverse trapping potential, one
normally expects that, in the ground state, the gas will populate only the
lowest transverse level. We show, however, that for the strongly interacting
gas under a Feshbach resonance, the ground state includes a large fraction of
atoms in excited levels of the trap, even if the gas is very dilute and the
trap is very strong. This is because the effective atom-molecule coupling is
typically enhanced to many times the trap mode spacing by an induced
confinement along the untrapped dimension(s). Thus one cannot ''freeze out''
the transverse degrees of freedom except under certain conditions.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org