Statistical and dynamical properties of the quantum triangle map

  title={Statistical and dynamical properties of the quantum triangle map},
  author={Jiaozi Wang and Giuliano Benenti and Giulio Casati and Wen-ge Wang},
  journal={Journal of Physics A: Mathematical and Theoretical},
We study the statistical and dynamical properties of the quantum triangle map, whose classical counterpart can exhibit ergodic and mixing dynamics, but is never chaotic. Numerical results show that ergodicity is a sufficient condition for spectrum and eigenfunctions to follow the prediction of random matrix theory, even though the underlying classical dynamics is not chaotic. On the other hand, dynamical quantities such as the out-of-time-ordered correlator (OTOC) and the number of harmonics… 

Quantum-classical correspondence of strongly chaotic many-body spin models

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Fractional-order quantum kicked top map and its discrete dynamic behaviors

  • Zeyu LiuTie-Cheng XiaTing-Ting Wang
  • Physics
    Chaos: An Interdisciplinary Journal of Nonlinear Science
  • 2023
A kind of top with a fractional operator is discussed in this paper. The top has a periodic nonlinear pulse kick sequence in the magnetic field and constant precessing around the magnetic field.



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