Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution for the inhomogeneous Dicke model in the canonical
  ensemble: thermodynamical limit and finite-size corrections   We consider an exactly solvable inhomogeneous Dicke model which describes an
interaction between a disordered ensemble of two-level systems with single mode
boson field. The existing method for evaluation of Richardson-Gaudin equations
in the thermodynamical limit is extended to the case of Bethe equations in
Dicke model. Using this extension, we present expressions both for the ground
state and lowest excited states energies as well as leading-order finite-size
corrections to these quantities for an arbitrary distribution of individual
spin energies. We then evaluate these quantities for an equally-spaced
distribution (constant density of states). In particular, we study evolution of
the spectral gap and other related quantities. We also reveal regions on the
phase diagram, where finite-size corrections are of particular importance.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol