Random Scattering by Atomic Density Fluctuations in Optical Lattices
  We investigate hitherto unexplored regimes of probe scattering by atoms trapped in optical lattices: weak scattering by effectively random atomic density distributions and multiple scattering by arbitrary atomic distributions. Both regimes are predicted to exhibit a universal semicircular scattering lineshape for large density fluctuations, which depend on temperature and quantum statistics. 
M. Blaauboer, G. Kurizki, and V.M. Akulin