Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution of a generalized two-sites Bose-Hubbard model   I introduce a new parametrization of a bosonic Lax operator for the algebraic
Bethe ansatz method with the $gl(2)$-invariant $R$-matrix and use it to present
the exact solution of a generalized two-sites Bose-Hubbard model with
asymmetric tunnelling. In the no interaction limit I show that the Bethe ansatz
equations can be written as a $S^{N-1}$ sphere, where $N$ is the total number
of atoms in the condensate.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn