Generating a fractal butterfly Floquet spectrum in a class of driven SU(2) systems

Jiao Wang and Jiangbin Gong
Phys. Rev. E 81, 026204 – Published 5 February 2010

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.

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  • Received 12 June 2009

DOI:https://doi.org/10.1103/PhysRevE.81.026204

©2010 American Physical Society

Authors & Affiliations

Jiao Wang1,2,* and Jiangbin Gong3,4,†

  • 1Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China
  • 2Temasek Laboratories, National University of Singapore, Singapore 117542, Singapore
  • 3Department of Physics and Center of Computational Science and Engineering, National University of Singapore, Singapore 117542, Singapore
  • 4NUS Graduate School for Integrative Sciences and Engineering, Singapore 117597, Singapore

  • *phywangj@xmu.edu.cn
  • phygj@nus.edu.sg

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Vol. 81, Iss. 2 — February 2010

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