Generating a fractal butterfly Floquet spectrum in a class of driven SU(2) systems
- Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005 (China)
- Department of Physics and Center of Computational Science and Engineering, National University of Singapore, Singapore 117542 (Singapore)
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.
- OSTI ID:
- 21344709
- Journal Information:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevE.81.026204; (c) 2010 The American Physical Society; ISSN 1539-3755
- Country of Publication:
- United States
- Language:
- English
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