ħ→0 and classical-quantum correspondence in the kicked Harper model

Indubala I. Satija, Tomaž Prosen
2002 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We investigate classical-quantum correspondence for the kicked Harper model for extremely small values of the Planck constant ប. In the asymmetric case a pure quantum state shows a clear signature of classical diffusive as well as superdiffusive transitions asymptotically independent of ប. However, for the symmetric case, the ប independent behavior occurs only for the renormalized parameter K ϭK/(2ប) with intriguing features such as a sharp transition from integrable to nonintegrable transport
more » ... tegrable transport at K ϭ/2, a series of transitions at multiples of , and the periodicity of the transmission probability. We suggest that even as ប→0, the quantum dynamics is influenced by cantori and additional features emerge in their absence.
doi:10.1103/physreve.65.047204 pmid:12006076 fatcat:64hi7ormwfhybfdfa57ut3xxbi