TY - JOUR
T1 - One-dimensional Anderson localization in certain correlated random potentials
AU - Lugan, P.
AU - Aspect, A.
AU - Sanchez-Palencia, L.
AU - Delande, D.
AU - Grémaud, B.
AU - Müller, C. A.
AU - Miniatura, C.
PY - 2009/8/11
Y1 - 2009/8/11
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevA.80.023605
DO - 10.1103/PhysRevA.80.023605
M3 - Article
AN - SCOPUS:68949160973
SN - 1050-2947
VL - 80
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 2
M1 - 023605
ER -