Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tkachenko modes and quantum melting of Josephson junction type of vortex
  array in rotating Bose-Einstein condensate   Using path integral formalism, we show that the Abrikosov-Tkachenko vortex
lattice may equivalently be understood as an array of Josephson junctions. The
Tkachenko modes are found to be basically equivalent to the low energy
excitations (Goldstone modes) of an ordered state. The calculated frequencies
are in very good agreement with recent experimental data. Calculations of the
fluctuations of the relative displacements of the vortices show that vortex
melting is a result of quantum fluctuations around the ordered state due to the
low energy excitations (Tkachenko modes)and occurs when the ratio of the
kinectic energy to the potential energy of the vortex lattice is 0.001.

27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat