2001/07/03 by Indubala I. Satija, Indubala I Satija, Satija, Indubala I +3
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum chaos and dynamical systems #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.nlin/0107004
arxiv created 2001/07/03 · openalex publication_date 2001/07/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate classical-quantum correspondence for kicked Harper model for extremely small values of the Planck constant ℏ. In the asymmetric case a pure quantum state shows clear signature of classical diffusive as well as super diffusive transitions asymptotically independent of ℏ. However, for the symmetric case, the ℏ independent behavior occurs only for renormalized parameter K=K/(2ℏ) with intriguing features such as a sharp transition from integrable to non-integrable transport at 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.