Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric phases in adiabatic Floquet theory, abelian gerbes and Cheon's
  anholonomy   We study the geometric phase phenomenon in the context of the adiabatic
Floquet theory (the so-called the $(t,t')$ Floquet theory). A double
integration appears in the geometric phase formula because of the presence of
two time variables within the theory. We show that the geometric phases are
then identified with horizontal lifts of surfaces in an abelian gerbe with
connection, rather than with horizontal lifts of curves in an abelian principal
bundle. This higher degree in the geometric phase gauge theory is related to
the appearance of changes in the Floquet blocks at the transitions between two
local charts of the parameter manifold. We present the physical example of a
kicked two-level system where these changes are involved via a Cheon's
anholonomy. In this context, the analogy between the usual geometric phase
theory and the classical field theory also provides an analogy with the
classical string theory.

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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: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th