Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unexpected systematic degeneracy in a system of two coupled Gaudin
  models with homogeneous couplings   We report an unexpected systematic degeneracy between different multiplets in
an inversion symmetric system of two coupled Gaudin models with homogeneous
couplings, as occurring for example in the context of solid state quantum
information processing. We construct the full degenerate subspace (being of
macroscopic dimension), which turns out to lie in the kernel of the commutator
between the two Gaudin models and the coupling term. Finally we investigate to
what extend the degeneracy is related to the inversion symmetry of the system
and find that indeed there is a large class of systems showing the same type of
degeneracy.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org