Effects of disorder upon transport and Anderson Localization in a finite, two dimensional Bose gas

Abstract

Anderson localization in a two-dimensional ultracold Bose-gas has been demonstrated experimentally. Atoms were released within a dumbbell-shaped optical trap, where the channel of variable aspect ratio provided the only path for particles to travel between source and drain reservoirs. This channel can be populated with columnar (repulsive) optical potential spikes of square cross section with arbitrary pattern. These spikes constitute impurities, the scattering centres for the otherwise free propagation of the particles. This geometry does not allow for classical potential trapping which can be hard to exclude in other experimental setups. Here we add further theoretical evidence for Anderson localization in this system by comparing the transport processes within a regular and a random pattern of impurities. It is demonstrated that the transport within randomly distributed impurities is suppressed and the corresponding localization length becomes shorter than the channel length. However, if an equal density of impurities are distributed in a regular manner, the transport is only modestly disturbed. This observation corroborates the conclusions of the experimental observation: the localization is indeed attributed to the disorder. Beyond analysing the density distribution and the localization length, we also calculate a quantum `impedance' exhibiting qualitatively different behaviour for regular and random impurity patterns.

arXiv comment9 pages, 14 captioned figures

References in corpus (21)

• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• Observation of the critical regime near Anderson localization of light
• Experimental observation of the Anderson transition with atomic matter waves
• Three-dimensional localization of ultracold atoms in an optical disordered potential
• Three-Dimensional Anderson Localization of Ultracold Matter
• Condensation of classical nonlinear waves
• Direct determination of the transition to localization of light in three dimensions
• Cold atoms in the presence of disorder
• Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor
• Experimental Test of Universality of the Anderson Transition
• Coherent Backscattering of Ultracold Atoms
• The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles
• Observation of two-dimensional Anderson localisation of ultracold atoms
• Anisotropic 2D diffusive expansion of ultra-cold atoms in a disordered potential
• Dilute Bose gas with correlated disorder: A Path Integral Monte Carlo study
• Anderson Localization in a String of Microwave Cavities
• Thermalization of matter waves in speckle potentials
• Simulation of Anderson localization in two-dimensional ultracold gases for point-like disorder
• Quench dynamics of a weakly interacting disordered Bose gas in momentum space

Cited by in corpus (4)

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• Localization landscape for interacting Bose gases in one-dimensional speckle potentials
• Significance of the nature of disorder on the universal features of the spatio-temporal correlations of two-dimensional Coulomb-clusters