Adiabatically coupled systems and fractional monodromy

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.

References in corpus (2)

• A Cantor set of tori with monodromy near a focus-focus singularity
• Topologically coupled energy bands in molecules

Cited by in corpus (1)

• Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models