Coherent backscattering reveals the Anderson transition

Abstract

We develop an accurate finite-time scaling analysis of the angular width of the coherent backscattering (CBS) peak for waves propagating in 3D random media. Applying this method to ultracold atoms in optical speckle potentials, we show how to determine both the mobility edge and the critical exponent of the Anderson transition from the temporal behavior of the CBS width. Our method could be used in experiments to fully characterize the 3D Anderson transition.

Published version

References in corpus (8)

• Measurement of the mobility edge for 3D Anderson localization
• Coherent Backscattering of Ultracold Atoms
• Anderson localization of a Bose-Einstein condensate in a 3D random potential
• Multifractal analysis with the probability density function at the three-dimensional Anderson transition
• Mobility edge for cold atoms in laser speckle potentials
• Wave function multifractality and dephasing at metal-insulator and quantum Hall transitions
• Coherent forward scattering in 2D disordered systems
• Diffusive density profiles in a cold-atom expansion experiment

Cited by in corpus (14)

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• The general approach to the critical phase with coupled quasiperiodic chains
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• Spatio-Temporal Imaging of Light Transport in Highly Scattering Media under White Light Illumination
• Multifractality of the kicked rotor at the critical point of the Anderson transition
• Coherent back and forward scattering peaks in the quantum kicked rotor
• Semiclassical spectral function and density of states in speckle potentials
• Coherent multiple scattering of light in (2+1) dimensions
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Coherent Forward Scattering Peak and Multifractality
• Coherent forward scattering as a robust probe of multifractality in critical disordered media
• Berezinskii approach to disordered spin systems with asymmetric scattering and application to the quantum boomerang effect
• Momentum Signatures of Site Percolation in Disordered 2D Ferromagnets
• Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering