Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Berry phase of the Tavis-Cummings model with three modes of oscillation   In this paper we develop a general method to obtain the Berry phase of
time-dependent Hamiltonians with a linear structure given in terms of the
$SU(1,1)$ and $SU(2)$ groups. This method is based on the similarity
transformations of the displacement operator performed to the generators of
each group, and let us diagonalize these Hamiltonians. Then, we introduce a
trilinear form of the Tavis-Cummings model to compute the $SU(1,1)$ and $SU(2)$
Berry phases of this model.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom