Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A continuous-variable approach to the spectral properties and quantum
  states of the two-component Bose-Hubbard dimer   A bosonic gas formed by two interacting species trapped in a double-well
potential features macroscopic localization effects when the interspecies
interaction becomes sufficiently strong. A repulsive interaction spatially
separates the species into different wells while an attractive interaction
confines both species in the same well. We perform a fully-analytic study of
the transitions from the weak- to the strong-interaction regime by exploiting
the semiclassical method in which boson populations are represented in terms of
continuous variables. We find an explict description of low-energy eigenstates
and spectrum in terms of the model parameters which includes the neighborhood
of the transition point. To test the effectiveness of the continuous-variable
method we compare its predictions with the exact results found numerically.
Numerical calculations confirm the spectral collapse evidenced by this method
when the space localization takes place.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: econ
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc