Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hall fractions in ultracold atomic vapors   Atomic vapors can be prepared and manipulated at very low densities and
temperatures. When they are rotating, they can reach a quantum Hall regime in
which there should be manifestations of the fractional quantum Hall effect. We
discuss the appearance of the principal sequence of fractions nu =p/(p+- 1) for
bosonic atoms. The termination point of this series is the paired Moore-Read
Pfaffian state. Exotic states fill the gap between the paired state and the
vortex lattice expected at high filling of the lowest Landau level. In
fermionic vapors, the p-wave scattering typical of ultralow energy collisions
leads to the hard-core model when restricted to the lowest Landau level.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph