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 $P(V)$ 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.

9 pages, 7 figures

References in corpus (6)

• Measurement of the mobility edge for 3D Anderson localization
• Mobility edge for cold atoms in laser speckle potentials
• Diagrammatic self-consistent theory of Anderson localization for the tight-binding model
• Semiclassical spectral function for matter waves in random potentials
• Diffusive density profiles in a cold-atom expansion experiment
• Coherent potential approximation for spatially correlated disorder

Cited by in corpus (11)

• Anderson localization of ultracold atoms: Where is the mobility edge?
• Measurement of spectral functions of ultracold atoms in disordered potentials
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials
• Anderson localization in optical lattices with correlated disorder
• Critical dynamics at the Anderson localization mobility edge
• Semiclassical spectral function and density of states in speckle potentials
• Mobility edge of two interacting particles in three-dimensional random potentials
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime