Observation of the critical regime near Anderson localization of light

Abstract

Diffusive transport is among the most common phenomena in nature [1]. However, as predicted by Anderson [2], diffusion may break down due to interference. This transition from diffusive transport to localization of waves should occur for any type of classical or quantum wave in any media as long as the wavelength becomes comparable to the transport mean free path ${\ell }^{\ast }$ [3]. The signatures of localization and those of absorption, or bound states, can however be similar, such that an unequivocal proof of the existence of wave localization in disordered bulk materials is still lacking. Here we present measurements of time resolved non-classical diffusion of visible light in strongly scattering samples, which cannot be explained by absorption, sample geometry or reduction in transport velocity. Deviations from classical diffusion increase strongly with decreasing ${\ell }^{\ast }$ as expected for a phase transition. This constitutes an experimental realization of the critical regime in the approach to Anderson localization.

5 pages, 4 figures

References in corpus (7)

• Statistical Signatures of Photon Localization
• Dynamics of Anderson localization in open 3D media
• Breakdown of Diffusion in Dynamics of Extended Waves in Mesoscopic Media
• Photon Localization in Resonant Media
• Dynamics of weakly localized waves
• Statistics of Dynamics of Localized Waves
• Impact of weak localization in the time domain

Cited by in corpus (191)

• Anderson Transitions
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Anderson localization and nonlinearity in one dimensional disordered photonic lattices
• Localization of ultrasound in a three-dimensional elastic network
• Experimental observation of the Anderson transition with atomic matter waves
• Anderson localization of entangled photons in an integrated quantum walk
• Direct observation of a localization transition in quasi-periodic photonic lattices
• Three-dimensional localization of ultracold atoms in an optical disordered potential
• Three-Dimensional Anderson Localization of Ultracold Matter
• Universal optimal transmission of light through disordered materials
• Disordered quantum gases under control
• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Absence of Anderson localization of light in a random ensemble of point scatterers
• Anderson localization in Bose-Einstein condensates
• Experimental observation of strong photon localization in disordered photonic crystal waveguides
• Quantum Correlations in Two-Particle Anderson Localization
• Dynamic light diffusion, Anderson localization and lasing in disordered inverted opals: 3D ab-initio Maxwell-Bloch computation
• Direct determination of the transition to localization of light in three dimensions
• Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment
• Experimental Test of Universality of the Anderson Transition
• Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor
• The crossover from strong to weak chaos for nonlinear waves in disordered systems
• One-dimensional Anderson localization in certain correlated random potentials
• Observation of interaction-induced mobility edge in a disordered atomic wire
• Anderson localization of a Bose-Einstein condensate in a 3D random potential
• Wave localization at the boundary of disordered photonic lattices
• Red light for Anderson localization
• Microscopic Theory of Scattering of Weak Electromagnetic Radiation by a Dense Ensemble of Ultracold Atoms
• Mobility edge for cold atoms in laser speckle potentials
• Magnetic-field-driven localization of light in a cold-atom gas
• Disordered, strongly scattering porous materials as miniature multipass gas cells
• Near-resonance Light Scattering from a High-density, Ultracold Atomic ${}^{87}$Rb Gas
• Dispersion of the dielectric permittivity of dense and ultracold atomic gases
• Observation of two-dimensional Anderson localisation of ultracold atoms
• Position-dependent diffusion of light in disordered waveguides
• Anderson localization of electromagnetic waves in three dimensions
• Disordered quantum walk-induced localization of a Bose-Einstein condensate
• Transmission eigenchannels and the densities of states of random media
• Coherent Forward Scattering Peak Induced by Anderson Localization
• Controlling Anderson localization in disordered photonic crystal waveguides
• Anderson localization of ultracold atoms: Where is the mobility edge?
• Glassy behavior of light in random lasers
• Light Localization induced by Random Imaginary Permittivities
• Coherent Backscattering of Ultracold Matter Waves: Momentum Space Signatures
• Ioffe-Regel criterion of Anderson localization in the model of resonant point scatterers
• Anderson localization of phonons in dimension $d=1,2,3$ : finite-size properties of the Inverse Participation Ratios of eigenstates
• Recurrent scattering and memory effect at the Anderson localization transition
• Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{P}\mathcal{T}$ symmetry
• Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices
• Spontaneous emission of a nanoscopic emitter in a strongly scattering disordered medium
• Spatial distribution of optically induced atomic excitation in a dense and cold atomic ensemble
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Quantum simulation of disordered systems with cold atoms
• Perfect photon absorption in nonlinear regime of cavity quantum electrodynamics
• Complexity of 2D random laser modes at the transition from weak scattering to Anderson localization
• Anderson localization as position-dependent diffusion in disordered waveguides
• Local diffusion theory of localized waves in open media
• Nonuniversal intensity correlations in 2D Anderson localizing random medium
• Effective dynamics of disordered quantum systems
• Probing statistical properties of Anderson localization with quantum emitters
• Experimental observation of intrinsic light localization in photonic icosahedral quasicrystals
• Numerical study of one-dimensional and interacting Bose-Einstein condensates in a random potential
• Energy transport in one-dimensional disordered granular solids
• Finite-size scaling analysis of localization transition for scalar waves in a 3D ensemble of resonant point scatterers
• Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems
• Light diffusion and localization in 3D nonlinear disordered media
• Universality of the Anderson transition with the quasiperiodic kicked rotor
• Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size
• Photon trapping in cavity quantum electrodynamics
• Controlling quantum random walk with a step-dependent coin
• Ultrashort pulse propagation and the Anderson localization
• Subradiant hybrid states in the open 3D Anderson-Dicke model
• Supersymmetric field theory of local light diffusion in semi-infinite media
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Light focusing in the Anderson Regime
• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
• Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials
• Light trapping in high-density ultracold atomic gases for quantum memory applications
• Disordered Anderson Localization Optical Fibers for Image Transport - A Review
• Tunable high-index photonic glasses
• Quantum boomeranglike effect of wave packets in random media
• Intensity fluctuations signature of 3D Anderson localization of light
• Enhanced backscattering of a dilute Bose-Einstein condensate
• Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential
• Wave interactions in localizing media - a coin with many faces
• Inelastic scattering puts in question recent claims of Anderson localization of light
• The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media
• Anderson universality in a model of disordered phonons
• Transverse confinement of waves in 3D random media
• Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder
• Optical transmission matrix as a probe of the photonic interaction strength
• Achieving strongly negative scattering asymmetry factor in random media composed of dual-dipolar particles
• Spatio-Temporal Imaging of Light Transport in Highly Scattering Media under White Light Illumination
• Critical dynamics at the Anderson localization mobility edge
• Statistics and control of waves in disordered media
• Scalar Wave Propagation in Random, Amplifying Media: Influence of Localization Effects on Length and Time Scales and Threshold Behavior
• Optical Thouless conductance and level-spacing statistics in two-dimensional Anderson localizing systems
• A topological approximation of the nonlinear Anderson model
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Coexistence of Localized and Extended States in Disordered Systems
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Anderson Localization of Matter Waves in 3D Anisotropic Disordered Potentials
• Microwave-Driven Atoms: From Anderson Localization to Einstein's Photoeffect
• Entanglement and Thouless times from coincidence measurements across disordered media
• One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
• Longitudinal optical fields in light scattering from dielectric spheres and Anderson localization of light
• Tailoring Anderson localization by disorder correlations in 1D speckle potentials
• Population mixing due to dipole-dipole interactions in a 1D array of multilevel atoms
• Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice
• Unusual Metal to Marginal-Metal Transition in Two-Dimensional Ferromagnetic Electron Gases
• Resolution of the exponent puzzle for the Anderson transition in doped semiconductors
• Interplay between localization and absorption in disordered waveguides
• Anderson localization of partially-incoherent light
• Conservation of energy in coherent backscattering of light
• Penetration depth of low-coherence enhanced backscattered light in sub-diffusion regime
• Floquet Anderson Localization of Two Interacting Discrete Time Quantum Walks
• Identifying localized and spreading chaos in nonlinear disordered lattices by the Generalized Alignment Index (GALI) method
• Enhanced transport of spin-orbit coupled Bose gases in disordered potentials
• Self-Consistent Quantum-Field Theory for the Characterization of Complex Random Media by Short Laser Pulses
• Seeing Anderson Localization
• Quantum walk and Anderson localization of rotational excitations in disordered ensembles of polar molecules
• Sensitivity to the initial state of interacting ultracold bosons in disordered lattices
• Effects of nonlinearity on Anderson localization of surface gravity waves
• Two-dimensional intra-band solitons in lattice potentials with local defects and self-focusing nonlinearity
• Analysis of dependent scattering mechanism in hard-sphere Yukawa random media
• Multifractality of ab initio wave functions in doped semiconductors
• Anderson localisation in spin chains for perfect state transfer
• Quantum simulation of the Anderson Hamiltonian with an array of coupled nanoresonators: delocalization and thermalization effects
• Scaling Theory of Heat Transport in Quasi-1D Disordered Harmonic Chains
• Haus/Gross-Pitaevskii equation for random lasers
• Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with algebraic power nonlinearity
• Anderson localization of light in dimension $d-1$
• Localization versus subradiance in three-dimensional scattering of light
• Dynamics of Fluctuations of Localized Waves
• Delocalization in infinite disordered 2D lattices of different geometry
• Finite-time scaling at the Anderson transition for vibrations in solids
• Light propagation in a random three-dimensional ensemble of point scatterers in a waveguide: size-dependent switching between diffuse radiation transfer and Anderson localization of light
• A self-consistent theory of localization in nonlinear random media
• Topological Boundary States in 1D: An Effective Fabry-Perot Model
• Angle-dependence of the frequency correlation in random photonic media: the diffusive regime and its breakdown near localization
• Doping-dependent metal-insulator transition in a disordered Hubbard model
• Effects of disorder upon transport and Anderson Localization in a finite, two dimensional Bose gas
• Controlling Anderson localization in disordered heterostructures with Lévy-type distribution
• What can we learn from diffusion about Anderson localization of a degenerate Fermi gas?
• Anderson transition for light in three dimensions
• Classical diffusive dynamics for the quasiperiodic kicked rotor
• Nonclassical properties and Anderson localization of quantum states in coupled waveguides
• Structural correlations and dependent scattering mechanism on the radiative properties of random media
• Photon scattering from a cold, Gaussian atom cloud
• Discrepant transport characteristics under Anderson localization at the two limits of disorder
• Signatures of the Anderson localization excited by an optical frequency comb
• A Metal-Insulator transition induced by Random Dipoles
• Mobility edge of two interacting particles in three-dimensional random potentials
• Double scattering of intense laser light by two atoms
• Impurity coupled to a lattice with disorder
• Localization of Lindbladian Fermions
• Universal mesoscopic statistics and the localization of light
• Eigenmodal Analysis of Anderson Localization: Applications to Photonic Lattices and Bose-Einstein Condensates
• Coined quantum walks on the line: Disorder, entanglement, and localization
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
• Numerical study of Anderson localization of terahertz waves in disordered waveguides
• Light transport behaviours in quasi-1D disordered waveguides composed of random photonic lattices
• Quantum localization corrections from the Bethe-Salpeter equation
• Tunable Anderson Localization of Dark States
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Pulse propagation in one-dimensional disordered photonic crystals: Interplay of disorder with instantaneous and relaxing nonlinearities
• Engineering insulator-metal transition in a class of decorated aperiodic lattices: a quantum dynamical study
• Anderson Localization Phenomenon in One-dimensional Elastic Systems
• One dimensional light localization with classical scatterers; an advanced undergraduate laboratory experiment
• Optomechanics of random media
• Controllable transport mean free path of light in xerogel matrixes embedded with polystyrene spheres
• A new stochastic differential equation approach for waves in a random medium
• A new mechanism for dark energy: the adaptive screening
• Localisation and transport in bidimensional random models with separable Hamiltonians
• Disorder-induced light trapping enhanced by pulse collisions in one-dimensional nonlinear photonic crystals
• Anderson localization of spinons in a spin-1/2 antiferromagnetic Heisenberg chain
• A fractional Anderson model
• Directional Localization in Disordered 2D Tight-Binding Systems: Insights from Single Particle Entanglement Measures
• Universal scheme to generate metal-insulator transition in disordered systems
• Effect of winding edge currents
• Duality breaking, mobility edges, and the connection between topological Aubry-André and quantum Hall insulators in atomic wires with fermions
• Decoherence effects in the dynamics of interacting ultracold bosons in disordered lattices
• Modal complexity as a metric for Anderson localization
• Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations
• Soliton Dynamics over a Disordered Topography
• Chaotic behaviour of disordered nonlinear lattices
• Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems
• Anderson localization of light: Strong dependence with incident angle
• Disorder Effects on Exciton-Polariton Condensates
• Physical interpretation of the spectral approach to delocalization in infinite disordered systems