Anderson Localization for Very Strong Speckle Disorder

Abstract

We evaluate the localization length of the wave (or Schroedinger) equation in the presence of a disordered speckle potential. This is relevant for experiments on cold atoms in optical speckle potentials. We focus on the limit of large disorder, where the Born approximation breaks down and derive an expression valid in the "quasi-metallic" phase at large disorder. This phase becomes strongly localized and the effective mobility edge disappears.

7 pages

References in corpus (7)

• Anderson Transitions
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Exploring the many-body localization transition in two dimensions
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Anderson localization in Bose-Einstein condensates
• One-dimensional Anderson localization in certain correlated random potentials
• Mobility edge for cold atoms in laser speckle potentials

Cited by in corpus (4)

• Few-boson localization in a continuum with speckle disorder
• Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: Effect of disorder correlations
• One Dimensional Localization for Arbitrary Disorder Correlations
• Spin-mixing-tunneling network model for Anderson transitions in two-dimensional disordered spinful electrons