Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularity of Berry Connections Inhibits the Accuracy of Adiabatic
  Approximation   Adiabatic approximation for quantum evolution is investigated quantitatively
with addressing its dependence on the Berry connections. We find that, in the
adiabatic limit, the adiabatic fidelity may uniformly converge to unit or
diverge manifesting the breakdown of adiabatic approximation, depending on the
type of the singularity of the Berry connections as the functions of
slowly-varying parameter $R$. When the Berry connections have a singularity of
$1/R^\sigma$ type with $\sigma < 1$, the adiabatic fidelity converges to unit
in a power-law; whereas when the singularity index $\sigma$ is larger than one,
adiabatic approximation breaks down. Two-level models are used to substantiate
our theory.

28
The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph