Phase diagram of the 3D Anderson model for uncorrelated speckle potentials
Abstract
We investigate the localization properties of atoms moving in a three-dimensional optical lattice in the presence of an uncorrelated disorder potential having the same probability distribution as laser speckles. We find that the disorder-averaged (single-particle) Green's function, calculated via the coherent potential approximation, is in very good agreement with exact numerics. Using the transfer-matrix method, we compute the phase diagram in the energy-disorder plane and show that its peculiar shape can be understood from the self-consistent theory of localization. In particular, we recover the large asymmetry in the position of the mobility edge for blue and red speckles, which was recently observed numerically for correlated speckle potentials.
Keywords
Cite
@article{arxiv.1509.05650,
title = {Phase diagram of the 3D Anderson model for uncorrelated speckle potentials},
author = {Michael Pasek and Zheng Zhao and Dominique Delande and Giuliano Orso},
journal= {arXiv preprint arXiv:1509.05650},
year = {2016}
}
Comments
9 pages, 7 figures