Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.81.026204
Title: Generating a fractal butterfly floquet spectrum in a class of driven SU(2) systems
Authors: Wang, J. 
Gong, J. 
Issue Date: 5-Feb-2010
Citation: Wang, J., Gong, J. (2010-02-05). Generating a fractal butterfly floquet spectrum in a class of driven SU(2) systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 81 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.81.026204
Abstract: A scheme for generating a fractal butterfly Floquet spectrum, first proposed by Wang and Gong [Phys. Rev. A 77, 031405(R) (2008)], is extended to driven SU(2) systems such as a driven two-mode Bose-Einstein condensate. A class of driven systems without a link with the Harper-model context is shown to have an intriguing butterfly Floquet spectrum. The found butterfly spectrum shows remarkable deviations from the known Hofstadter's butterfly. In addition, the level crossings between Floquet states of the same parity and between Floquet states of different parities are studied and highlighted. The results are relevant to studies of fractal statistics, quantum chaos, and coherent destruction of tunneling, as well as the validity of mean-field descriptions of Bose-Einstein condensates. © 2010 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/117025
ISSN: 15393755
DOI: 10.1103/PhysRevE.81.026204
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