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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 transportdoi:10.1103/physreve.65.047204 pmid:12006076 fatcat:64hi7ormwfhybfdfa57ut3xxbi