Anderson Localization of Matter Waves in 3D Anisotropic Disordered Potentials

Abstract

Using a cutoff-free formulation of the coherent transport theory, we show that the interference terms at the origin of localization strongly affect the transport anisotropy. In contrast to the common hypothesis, we then find that the anisotropies of incoherent and coherent diffusion are significantly different, in particular at criticality. There, we show that the coherent transport anisotropy is mainly determined by the properties of the disorder-averaged effective scattering medium while the incoherent transport contributions become irrelevant.

References in corpus (4)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• Anderson localization in Bose-Einstein condensates
• Mobility edge for cold atoms in laser speckle potentials

Cited by in corpus (7)

• Suppression of transport anisotropy at the Anderson localization transition in three-dimensional anisotropic media
• Quantum localization corrections from the Bethe-Salpeter equation
• Anisotropy of localized states in an anisotropic disordered medium
• Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
• Anisotropy effects on the quantum transport of atomic matter waves
• Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms
• Noisy Cyclic Quantum Random Walk