Adiabatically coupled systems and fractional monodromy

Details Adiabatically coupled systems and fractional monodromy Adiabatically coupled systems and fractional monodromy

2007-02-25

arxiv.org/abs/quant-ph/0702227v1

J. Phys. A: Math. Theor. vol 40 p.13075-13089, 2007

Physics

Quantum Physics

Scientific paper

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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