Self-similar spectrum in effective time independent Hamiltonians for kicked systems
| 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.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.identifier.uri | https://arxiv.org/abs/1504.06090 | |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/14193 | |
| 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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