Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum q-breathers in a finite Bose-Hubbard chain: The case of two
  interacting bosons   We study the spectrum and eigenstates of the quantum discrete Bose-Hubbard
Hamiltonian in a finite one-dimensional lattice containing two bosons. The
interaction between the bosons leads to an algebraic localization of the
modified extended states in the normal mode space of the noninteracting system.
Weight functions of the eigenstates in the space of normal modes are computed
by using numerical diagonalization and perturbation theory. We find that
staggered states do not compactify in the dilute limit for large chains.

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The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg