One-Dimensional Anderson Localization in Certain Correlated Random Potentials

  title={One-Dimensional Anderson Localization in Certain Correlated Random Potentials},
  author={Pierre Lugan and Alain Aspect and Laurent Sanchez-Palencia and Dominique Delande and Benoit Gr'emaud and Cord Axel Muller and Christian Miniatura},
  journal={Physical Review A},
We study Anderson localization of ultracold atoms in weak, one-dimensional speckle potentials, using perturbation theory beyond Born approximation. We show the existence of a series of sharp crossovers (effective mobility edges) between energy regions where localization lengths differ by orders of magnitude. We also point out that the correction to the Born term explicitly depends on the sign of the potential. Our results are in agreement with numerical calculations in a regime relevant for… 

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