Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum phase transition of the Bose-Hubbard model on cubic lattice with
  anisotropic hopping   In quantum many-body system, dimensionality plays a critical role on type of
the quantum phase transition. In order to study the quantum system during
dimensional crossover, we studied the Bose-Hubbard model on cubic lattice with
anisotropic hopping by using the high order symbolic strong coupling expansion
method. The analytic series expanded boundaries between the Mott-insulator and
superfluid phase up to eighth order are calculated. The critical exponents are
extracted by Pad\'{e} re-summation method, which clearly shows the dimensional
crossover behavior. Meanwhile, the critical points at commensurate filling can
also be obtained, and they match well with the prediction of renormalization
group theory. The scaling of the gap energy and whole phase diagram are given
at last, and they can be taken as the benchmark for experiment and numerical
simulations in the future study.

37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th