Statistical and dynamical properties of the quantum triangle map

@article{Wang2022StatisticalAD,
  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},
  year={2022},
  volume={55}
}
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… 

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