Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortex lattices in Bose-Einstein condensates: from the Thomas-Fermi to
  the lowest Landau level regime   We consider a periodic vortex lattice in a rotating Bose-Einstein condensed
gas, where the centrifugal potential is exactly compensated by the external
harmonic trap. By introducing a gauge transformation which makes the
Hamiltonian periodic, we solve numerically the 2D Gross-Pitaevskii equation
finding the exact mean field ground state. In particular, we explore the
crossover between the Thomas-Fermi regime, holding for large values of the
coupling constant, and the lowest Landau level limit, corresponding to the
weakly interacting case. Explicit results are given for the equation of state,
the vortex core size, as well as the elastic shear modulus, which is crucial
for the calculation of the Tkachenko frequencies.

2
The categories of this paper are: math
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci