2015/04/23 by Rashmi Jangid Sharma, Sharma, Rashmi Jangid, Jayendra N. Bandyopadhyay +3
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Theoretical and Computational Physics #advanced mathematical theories #nlin.CD #quant-ph
paper · pdf · doi:10.48550/arxiv.1504.06090
5pages + 1page (Supplementary material), 4 figures
arxiv created 2015/04/23 · openalex publication_date 2015/04/23 · arxiv updated 2015/04/24 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28
We study multifractal properties in the spectrum of effective time-independent Hamiltonians obtained using a perturbative method for a class of delta-kicked systems. The evolution operator in the time-dependent problem is factorized into an initial kick, an evolution dictated by a time-independent Hamiltonian, and a final kick. We have used the double kicked SU(2) system and the kicked Harper model to study butterfly spectrum in the corresponding effective Hamiltonians. We have obtained a generic class of SU(2) Hamiltonians showing self-similar spectrum. The statistics of the generalized fractal dimension is studied for a quantitative characterization of the spectra.