One-Dimensional Anderson Localization in Certain Correlated Random Potentials

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 experiments. Finally, we analyze our findings in the light of a diagrammatic approach.

• Publication year

  2009

• Venue

  Physical Review A

• Publication date

  2009-02-01

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevA.80.023605arXiv 0902.0107
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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