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 |