Anderson localization of ultracold atoms: Where is the mobility edge?

Abstract

Recent experiments on non-interacting ultra-cold atoms in correlated disorder have yielded conflicting results regarding the so-called mobility edge, i.e. the energy threshold separating Anderson localized from diffusive states. At the same time, there are theoretical indications that the experimental data overestimate the position of this critical energy, sometimes by a large amount. The non-trivial effect of anisotropy in the spatial correlations of experimental speckle potentials have been put forward as a possible cause for such discrepancy. Using extensive numerical simulations we show that the effect of anisotropy alone is not sufficient to explain the experimental data. In particular, we find that, for not-too-strong anisotropy, realistic disorder configurations are essentially identical to the isotropic case, modulo a simple rescaling of the energies.

7 pages, 4 figures

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• Anderson Transitions
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• Localization of ultrasound in a three-dimensional elastic network
• Localization of Matter Waves in 2D-Disordered Optical Potentials
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• Coherent multiple scattering of out-of-equilibrium interacting Bose gases
• Coexistence of Localized and Extended States in Disordered Systems
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• Tunable disorder and localization in the rare-earth nickelates
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• Mobility edge of two interacting particles in three-dimensional random potentials
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• Anderson localization induced by structural disorder
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• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Anisotropy of localized states in an anisotropic disordered medium
• Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
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• Anisotropy effects on the quantum transport of atomic matter waves
• Distinct reentrant transitions in a quasi-periodic Raman lattice
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