planck-->0 and classical-quantum correspondence in the kicked Harper model.
We investigate classical-quantum correspondence for the kicked Harper model for extremely small values of the Planck constant (planck). In the asymmetric case a pure quantum state shows a clear signature of classical diffusive as well as superdiffusive transitions asymptotically independent of planck. However, for the symmetric case, the planck independent behavior occurs only for the renormalized parameter (-)K=K/(2planck) with intriguing features such as a sharp transition from integrable to nonintegrable transport at (-)K=pi/2, a series of transitions at multiples of pi, and the periodicity of the transmission probability. We suggest that even as planck-->0, the quantum dynamics is influenced by cantori and additional features emerge in their absence.
Satija
Indubala I
II
Department of Physics, George Mason University, Fairfax, Virginia 22030, USA.
Prosen
Tomaz
T