Anderson localization in optical lattices with speckle disorder
  We study the localization properties of non-interacting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a decimation/renormalization procedure, we estimate the localization length for a tight-binding Hamiltonian where site-energies are square-sinc-correlated random variables. By decreasing the width of the correlation function, the disorder patterns approaches a $\delta$-correlated disorder, and the localization length becomes almost energy-independent in the strong disorder limit. We show that this regime can be reached for a size of the speckle grains of the order of (lower than) four lattice steps. 
Serpil Sucu, Saban Aktas, S. Erol Okan, Zehra Akdeniz, Patrizia   Vignolo
cond-mat.dis-nn cond-mat.quant-gas