$\hbar \to 0$ in Kicked Harper Model: Reassurances and Surprises

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dc.creatorSatija, Indubala I
dc.creatorProsen, Tomaz
dc.date2001-07-03
dc.date.accessioned2026-07-07T05:33:34Z
dc.date.available2026-07-07T05:33:34Z
dc.descriptionWe investigate classical-quantum correspondence for kicked Harper model for extremely small values of the Planck constant $\hbar$. In the asymmetric case a pure quantum state shows clear signature of classical diffusive as well as super diffusive transitions asymptotically independent of $\hbar$. However, for the symmetric case, the $\hbar$ independent behavior occurs only for renormalized parameter $\bar{K}=K/(2\hbar)$ with intriguing features such as a sharp transition from integrable to non-integrable transport at $\bar{K}=π/2$, a series of transitions at multiples of $π$ and periodicity of the transmission probability. These results add new puzzles to the frontiers of quantum chaos.
dc.identifierhttps://arxiv.org/abs/nlin/0107004
dc.identifierhttp://arxiv.org/abs/nlin/0107004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80040
dc.subjectChaotic Dynamics
dc.title$\hbar \to 0$ in Kicked Harper Model: Reassurances and Surprises
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