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arXiv · quant-ph/0702227

Adiabatically coupled systems and fractional monodromy

M S Hansen·F Faure·B I Zhilinskii
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Abstract

We present a 1-parameter family of systems with fractional monodromy and adiabatic separation of motion. We relate the presence of monodromy to a redistribution of states both in the quantum and semi-quantum spectrum. We show how the fractional monodromy arises from the non diagonal action of the dynamical symmetry of the system and manifests itself as a generic property of an important subclass of adiabatically coupled systems.

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M S Hansen, F Faure, B I Zhilinskii. 2007-02-25. Adiabatically coupled systems and fractional monodromy. https://doi.org/10.1088/1751-8113/40/43/015

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