Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical and quantum features of the superfluid to Mott insulator
  transition   We analyze the correspondence of many-particle and mean-field dynamics for a
Bose-Einstein condensate in an optical lattice. Representing many-particle
quantum states by a classical phase space ensemble instead of one single
mean-field trajectory and taking into account the quantization of the density
by a modified integer Gross-Pitaevskii equation, it is possible to simulate the
superfluid to Mott insulator transition and other phenomena purely classically.
This approach can be easily extended to higher particle numbers and
multidimensional lattices. Moreover it provides an excellent tool to classify
true quantum features and to analyze the mean-field -- many particle
correspondence.

23
The categories of this paper are: solv-int
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga