Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau
  Level   We create rapidly rotating Bose-Einstein condensates in the lowest Landau
level, by spinning up the condensates to rotation rates $\Omega>99%$ of the
centrifugal limit for a harmonically trapped gas, while reducing the number of
atoms. As a consequence, the chemical potential drops below the cyclotron
energy $2\hbar\Omega$. While in this mean-field quantum Hall regime we still
observe an ordered vortex lattice, its elastic shear strength is strongly
reduced, as evidenced by the observed very low frequency of Tkachenko modes.
Furthermore, the gas approaches the quasi-two-dimensional limit. The associated
cross-over from interacting- to ideal-gas behavior along the rotation axis
results in a shift of the axial breathing mode frequency.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph