Probing Anderson localization of light via decay rate statistics

Abstract

We have studied the distribution of resonant widths $P(\Gamma )$ in one-, two- and three dimensional multiple light scattering systems. $P(\Gamma )$ should follow a universal power law $P(\Gamma )\sim {\Gamma }^{-1}$ in the localized regime as confirmed by extensive numerical calculations. This behavior can be interpreted as an unambiguous signature of exponential Anderson localization of light in open systems.

9 pages, 4 figures

References in corpus (15)

• Statistical Signatures of Photon Localization
• Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
• Coherent Backscattering of Light by Cold Atoms
• Chaotic Scattering on Graphs
• Nearly Localized States in Weakly Disordered Conductor
• Coherent light transport in a cold Strontium cloud
• S-matrix poles for chaotic quantum systems as eigenvalues of complex symmetric random matrices: from isolated to overlapping resonances
• Quantum Poincaré Recurrences
• Fingerprints of classical diffusion in open 2D mesoscopic systems in the metallic regime
• Statistics of resonances and delay times: A criterion for Metal-Insulator transitions
• Decay Rate Distributions of Disordered Slabs and Application to Random Lasers
• Time Delay Correlations and Resonances in 1D Disordered Systems
• Distribution of resonance widths in localized tight-binding models
• Decay Rates and Survival Probabilities in Open Quantum Systems
• Influence of Spatial Correlations on the Lasing Threshold of Random Lasers

Cited by in corpus (57)

• Light interaction with photonic and plasmonic resonances
• Absence of Anderson localization of light in a random ensemble of point scatterers
• Shifts of a resonance line in a dense atomic sample
• Controlled manipulation of light by cooperative response of atoms in an optical lattice
• Dynamics of Anderson localization in open 3D media
• Absorption imaging of a quasi 2D gas: a multiple scattering analysis
• Cooperative effects and disorder: A scaling analysis of the spectrum of the effective atomic Hamiltonian
• Optical resonance shifts in the fluorescence of thermal and cold atomic gases
• Magnetic-field-driven localization of light in a cold-atom gas
• Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory
• Light propagation beyond the mean-field theory of standard optics
• Non-Hermitian Euclidean random matrix theory
• Eigenvalue distributions of large Euclidean random matrices for waves in random media
• Dispersion of the dielectric permittivity of dense and ultracold atomic gases
• Compact localized states and flat bands from local symmetry partitioning
• Light scattering and localization in an ultracold and dense atomic system
• Stochastic methods for light propagation and recurrent scattering in saturated and nonsaturated atomic ensembles
• Ioffe-Regel criterion of Anderson localization in the model of resonant point scatterers
• Subradiance and radiation trapping in cold atoms
• Theoretical formalism for collective electromagnetic response of discrete metamaterial systems
• Light Localization and Cooperative Coupling Effects in Aperiodic Vogel Spirals
• Finite-size scaling analysis of localization transition for scalar waves in a 3D ensemble of resonant point scatterers
• A scaling law for light scattering from dense and cold atomic ensembles
• Ultrashort pulse propagation and the Anderson localization
• Subradiant hybrid states in the open 3D Anderson-Dicke model
• Population of collective modes in light scattering by many atoms
• Light trapping in high-density ultracold atomic gases for quantum memory applications
• Resonance width distribution for high-dimensional random media
• Decay dynamics in the coupled-dipole model
• Resonance linewidth and inhomogeneous broadening in a metamaterial array
• Longitudinal modes in diffusion and localization of light
• Quantitative study of two- and three-dimensional strong localization of matter waves by atomic scatterers
• Statistics of Resonances in a Semi-infinite Disordered Chain
• Cooperative light scattering on an atomic system with degenerate structure of the ground state
• Search for Anderson localization of light by cold atoms in a static electric field
• Subradiance in dilute atomic ensembles: Role of pairs and multiple scattering
• Spontaneous natural optical activity in disordered media
• Random matrix ensembles with column/row constraints: part I
• Cooperative effects in one-dimensional random atomic gases: Absence of single atom limit
• Resonances in one-dimensional Disordered Chain
• Spin-polarized quantum transport through a T-shape quantum dot-array: a model of spin splitter
• Aperiodic photonics of elliptic curves
• Influence of atomic motion on the collective effects in dense and cold atomic ensembles
• Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
• Localization versus subradiance in three-dimensional scattering of light
• Many-body cooperative effects in an ensemble of point-like impurity centers near a charged conductive surface
• Statistical analysis of chiral structured ensembles: role of matrix constraints
• Microscopic modeling of photoluminescence of strongly disordered semiconductors
• Structural entropy and spatial decay of quasimodes in Vogel spirals
• Resonance distribution in the quantum random Lorentz gas
• Super- and subradiance in dilute disordered cold atomic samples: observations and interpretations
• Signatures of the Anderson localization excited by an optical frequency comb
• Hidden Modes in Open Disordered Media: Analytical, Numerical, and Experimental Results
• Roles of cooperative effects and disorder in photon localization: The case of a vector radiation field
• Inherent Stochastic Linearization of Random Laser Modes
• Statistics of resonances in one-dimensional disordered systems
• Density of reflection resonances in one-dimensional disordered Schrödinger operators