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The European Physical Journal Special Topics

, Volume 217, Issue 1, pp 91–102 | Cite as

Tailoring Anderson localization by disorder correlations in 1D speckle potentials

  • Marie Piraud
  • Laurent Sanchez-Palencia
Regular Article

Abstract

We study Anderson localization of single particles in continuous, correlated, one-dimensional disordered potentials. We show that tailored correlations can completely change the energy-dependence of the localization length. By considering two suitable models of disorder, we explicitly show that disorder correlations can lead to a nonmonotonic behavior of the localization length versus energy. Numerical calculations performed within the transfer-matrix approach and analytical calculations performed within the phase formalism up to order three show excellent agreement and demonstrate the effect. We finally show how the nonmonotonic behavior of the localization length with energy can be observed using expanding ultracold-atom gases.

Keywords

Lyapunov Exponent European Physical Journal Special Topic Solid Black Line Localization Length Matter Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • Marie Piraud
    • 1
  • Laurent Sanchez-Palencia
    • 1
  1. 1.Laboratoire Charles Fabry, Institut d’Optique, CNRSUniv. Paris SudPalaiseau CedexFrance

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