One-dimensional Anderson localization in certain correlated random potentials

Pierre Lugan (1) , Alain Aspect (1) , Laurent Sanchez-Palencia (1) , Dominique Delande (2) , Benoît Grémaud (2, 3, 4) , Cord A. Müller (2, 5) , Christian Miniatura (3, 4, 6)

1 laboratoire Charles Fabry de l'Institut d'Optique / Optique atomique
2 LKB (Jussieu) - Laboratoire Kastler Brossel
3 IPAL - Image & Pervasive Access Lab
4 CQT - Centre for Quantum Technologies [Singapore]
5 Physikalisches Institut [Bayreuth]
6 INLN - Institut Non Linéaire de Nice Sophia-Antipolis

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.

Domaines: Autre [cond-mat.other]; Optique [physics.optics]

Pierre Lugan, Alain Aspect, Laurent Sanchez-Palencia, Dominique Delande, Benoît Grémaud, et al.. One-dimensional Anderson localization in certain correlated random potentials. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2009, 80, pp.023605. ⟨10.1103/PhysRevA.80.023605⟩. ⟨hal-00357700v3⟩