Quantum Hall effect in a one-dimensional dynamical system

@article{Dahlhaus2011QuantumHE,
  title={Quantum Hall effect in a one-dimensional dynamical system},
  author={J. P. Dahlhaus and Jonathan M. Edge and Jakub Tworzydło and C. W. J. Beenakker},
  journal={Physical Review B},
  year={2011},
  volume={84},
  pages={115133}
}
We construct a periodically time-dependent Hamiltonian with a phase transition in the quantum Hall universality class. One spatial dimension can be eliminated by introducing a second incommensurate driving frequency, so that we can study the quantum Hall effect in a one-dimensional (1D) system. This reduction to 1D is very efficient computationally and would make it possible to perform experiments on the 2D quantum Hall effect using cold atoms in a 1D optical lattice. 
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