Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact diagonalization of the one dimensional Bose-Hubbard model with
  local 3-body interactions   In this Brief Report the extended Bose-Hubbard model with local two- and
three-body interactions is studied by the exact diagonalization approach. The
shapes of the first two insulating lobes are discussed and the values of the
critical tunneling for which the insulating phase loses stability for repulsive
and attractive three-body interactions are predicted.

17
The categories of this paper are: q-fin
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom