2009/02/28 by Pierre Lugan, Alain Aspect, Laurent Sanchez-Palencia +4 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Random lasers and scattering media #cond-mat.other
paper · pdf · doi:10.1103/physreva.80.023605
published as Physical Review A: Atomic, Molecular and Optical Physics 80 (2009) 023605
openalex publication_date 2009/08/11 · arxiv created 2009/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.