Adiabatically coupled systems and fractional monodromy

M S Hansen (1, 2) , Frédéric Faure (3) , B I Zhilinskii (4)

1 Department of Statistics
2 Department of Mathematics (Kongens Lyngby, Denmark)
3 IF - Institut Fourier
4 LPCA - Laboratoire de Physico-Chimie de l'Atmosphère

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.

Domaines: Physique Quantique [quant-ph]

M S Hansen, Frédéric Faure, B I Zhilinskii. Adiabatically coupled systems and fractional monodromy. Journal of Physics A: Mathematical and Theoretical, 2007, pp.13075-13089. ⟨hal-00383057⟩