• DOI:10.1088/1751-8121/ac6a93
• Corpus ID: 246015454

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}
}

• Jiaozi Wang, G. Benenti, +1 author Wen-ge Wang
• Published 15 January 2022
• Physics
• 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, exhibit a growth rate vanishing in the semiclassical limit, in agreement with the fact that classical dynamics has zero Lyapunov exponent. Our finding show that, while spectral statistics can be used to detect ergodicity, OTOC and number of harmonics are diagnostics of chaos.