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Self-similar spectrum in effective time independent Hamiltonians for kicked systems

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dc.contributor.author Bandyopadhyay, Jayendra N.
dc.contributor.author Sarkar, Tapomoy Guha
dc.date.accessioned 2024-02-10T04:57:04Z
dc.date.available 2024-02-10T04:57:04Z
dc.date.issued 2015-04
dc.identifier.uri https://arxiv.org/abs/1504.06090
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/14193
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.publisher ARXIV en_US
dc.subject Physics en_US
dc.subject Quantum Physics en_US
dc.subject Chaotic Dynamics en_US
dc.title Self-similar spectrum in effective time independent Hamiltonians for kicked systems en_US
dc.type Article en_US


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