Butterfly Floquet Spectrum in Driven SU(2) Systems
Jiao Wang, Jiangbin Gong

TL;DR
This paper investigates the Floquet spectrum of driven SU(2) systems, revealing a butterfly pattern with multifractal properties and analyzing level crossings, with implications for quantum chaos and Bose-Einstein condensates.
Contribution
It demonstrates the presence of butterfly patterns and multifractal properties in the Floquet spectrum of driven SU(2) systems, linking spectral features to quantum chaos and many-body physics.
Findings
Floquet spectrum exhibits butterfly pattern with multifractal properties
Level crossings analyzed between states of same and different parities
Results relevant to quantum chaos and Bose-Einstein condensates
Abstract
The Floquet spectrum of a class of driven SU(2) systems is shown to display a butterfly pattern with multi-fractal properties. The level crossing between Floquet states of the same parity or different parities is studied. The results are relevant to studies of fractal statistics, quantum chaos, coherent destruction of tunneling, and the validity of mean-field descriptions of Bose-Einstein condensates.
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