Multifractal wave functions of simple quantum maps.

@article{Martin2010MultifractalWF,
  title={Multifractal wave functions of simple quantum maps.},
  author={John Martin and Ignacio Garc{\'i}a-Mata and Olivier Giraud and Bertrand Georgeot},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={82 4 Pt 2},
  pages={
          046206
        }
}
We study numerically multifractal properties of two models of one-dimensional quantum maps: a map with pseudointegrable dynamics and intermediate spectral statistics and a map with an Anderson-like transition recently implemented with cold atoms. Using extensive numerical simulations, we compute the multifractal exponents of quantum wave functions and study their properties, with the help of two different numerical methods used for classical multifractal systems (box-counting and wavelet… Expand
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