Anderson localization in optical lattices with speckle disorder

Abstract

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.

4 pages, 1 figure

References in corpus (7)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Three-Dimensional Anderson Localization of Ultracold Matter
• One-dimensional Anderson localization in certain correlated random potentials
• Enhancement of localization in one-dimensional random potentials with long-range correlations
• Anisotropic 2D diffusive expansion of ultra-cold atoms in a disordered potential
• Lyapunov exponent for the laser speckle potential: a weak disorder expansion
• Localization of correlated fermions in optical lattices with speckle disorder

Cited by in corpus (2)

• Bose-Einstein Condensate in Weak 3d Isotropic Speckle Disorder
• The impact of speckle disorder on a superfluid Fermi system