Kicked-Harper model versus on-resonance double-kicked rotor model: from spectral difference to topological equivalence.

@article{Wang2013KickedHarperMV,
  title={Kicked-Harper model versus on-resonance double-kicked rotor model: from spectral difference to topological equivalence.},
  author={Hailong Wang and Derek Y H Ho and Wayne M. Lawton and Jiaozi Wang and Jiangbin Gong},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={88 5},
  pages={
          052920
        }
}
  • Hailong WangD. Y. Ho J. Gong
  • Published 26 June 2013
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Recent studies have established that, in addition to the well-known kicked-Harper model (KHM), an on-resonance double-kicked rotor (ORDKR) model also has Hofstadter's butterfly Floquet spectrum, with strong resemblance to the standard Hofstadter spectrum that is a paradigm in studies of the integer quantum Hall effect. Earlier it was shown that the quasienergy spectra of these two dynamical models (i) can exactly overlap with each other if an effective Planck constant takes irrational multiples… 

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