It is pointed out that quantum optics provides examples where the origin of geometrical phase factors can be investigated in two different ways. The first possibility relies on a line bundle in which the fibers over each base point in parameter space consist of Stark states, whereas fibers of Floquet states yield a second possibility. Both constructions are compared in some detail, and the Floquet bundle is found to offer distinct advantages.
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Breuer et al. (1993) studied this question.
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