Mobility edge for cold atoms in laser speckle potentials

Abstract

Using the transfer matrix method, we numerically compute the precise position of the mobility edge of atoms exposed to a laser speckle potential, and study its dependence vs. the disorder strength and correlation function. Our results deviate significantly from previous theoretical estimates using an approximate self-consistent approach of localization. In particular we find that the position of the mobility edge in blue-detuned speckles is much lower than in the red-detuned counterpart, pointing out the crucial role played by the asymmetric on-site distribution of speckle patterns.

5 pages, 3 figures, plus Supplemental Material (3 pages, 3 figures)

References in corpus (6)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• One-dimensional Anderson localization in certain correlated random potentials
• Localization of Matter Waves in 2D-Disordered Optical Potentials
• Lyapunov exponent for the laser speckle potential: a weak disorder expansion
• Effects of Scale-Free Disorder on the Anderson Metal-Insulator Transition

Cited by in corpus (9)

• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Coherent forward scattering in 2D disordered systems
• Semiclassical spectral function for matter waves in random potentials
• Estimate of the critical exponent of the Anderson transition in the three and four dimensional unitary universality classes
• Anderson Localization of Matter Waves in 3D Anisotropic Disordered Potentials
• Localization of interacting Fermi gases in quasiperiodic potentials
• Mobility edge of two interacting particles in three-dimensional random potentials
• Anisotropy effects on the quantum transport of atomic matter waves
• Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms