Observation of infinite-range intensity correlations above, at and below the 3D Anderson localization transition

Abstract

We investigate long-range intensity correlations on both sides of the Anderson transition of classical waves in a three-dimensional (3D) disordered material. Our ultrasonic experiments are designed to unambiguously detect a recently predicted infinite-range C0 contribution, due to local density of states fluctuations near the source. We find that these C0 correlations, in addition to C2 and C3 contributions, are significantly enhanced near mobility edges. Separate measurements of the inverse participation ratio reveal a link between C0 and the anomalous dimension Δ_2, implying that C0 may also be used to explore the critical regime of the Anderson transition.

13 pages, 11 figures (main text plus supplemental information). Updated version includes an improved introductory paragraph, minor text revisions, a revised title and additional supplemental information on the experimental details

References in corpus (11)

• Anderson Transitions
• Localization of ultrasound in a three-dimensional elastic network
• Direct determination of the transition to localization of light in three dimensions
• Fluctuations of the local density of states probe localized surface plasmons on disordered metal films
• Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
• Observation of Spatial Fluctuations of the Local Density of States in Random Media
• Fluctuations of local density of states and C0 speckle correlations are equal
• Nonuniversal intensity correlations in 2D Anderson localizing random medium
• Near-field interactions and non-universality in speckle patterns produced by a point source in a disordered medium
• Classification of light sources and their interaction with active and passive environments
• Mesoscopic phase statistics of diffuse ultrasound in dynamic matter

Cited by in corpus (16)

• Correlation-enhanced control of wave focusing in disordered media
• Spatio-temporal correlations in multimode fibers for pulse delivery
• Anderson mobility gap probed by dynamic coherent backscattering
• Tailoring correlations of the local density of states in disordered photonic materials
• Elastic Scattering Time of Matter-Waves in Disordered Potentials
• Correlations between reflected and transmitted intensity patterns emerging from opaque disordered media
• Transverse confinement of ultrasound through the Anderson transition in 3D mesoglasses
• Interaction-induced multiparticle bound states in the continuum
• Diffusion in the Anderson model in higher dimensions
• Finite-time scaling at the Anderson transition for vibrations in solids
• Suppression of transport anisotropy at the Anderson localization transition in three-dimensional anisotropic media
• Observation of Intensity Statistics of Light Transmitted Through 3D Random Media
• Mesoscopic Theory of Wavefront Shaping to Focus Waves inside Disordered Media
• Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
• Spatial correlations of the spontaneous decay rate as a probe of dense and correlated disordered materials
• Frequency correlations in reflection from random media