Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems
arXiv:2109.03894 · doi:10.1103/PhysRevB.105.064204
Abstract
The purpose of this work is to understand the fundamental connection between structural correlations and light localization in three-dimensional (3D) open scattering systems of finite size. We numerically investigate the transport of vector electromagnetic waves scattered by resonant electric dipoles spatially arranged in 3D space by stealthy hyperuniform disordered point patterns. Three-dimensional stealthy hyperuniform disordered systems (3D-SHDS) are engineered with different structural correlation properties determined by their degree of stealthiness . Such fine control of exotic states of amorphous matter enables the systematic design of optical media that interpolate in a tunable fashion between uncorrelated random structures and crystalline materials. By solving the electromagnetic multiple scattering problem using Green's matrix spectral method, we establish a transport phase diagram that demonstrates a distinctive transition from a diffusive to a weak localization regime beyond a critical scattering density that depends on . The transition is characterized by studying the Thouless number and the spectral statistics of the scattering resonances. In particular, by tuning the parameter, we demonstrate large spectral gaps and suppressed sub-radiant proximity resonances, facilitating light localization. Moreover, consistently with previous studies, our results show a region of the transport phase diagram where the investigated scattering systems become transparent. Our work provides a systematic description of the transport and weak localization properties of light in stealthy hyperuniform structures and motivates the engineering of novel photonic systems with enhanced light-matter interactions for applications to both classical and quantum devices.
arXiv comment12 pages, 7 figures
References in corpus (48)
- Topological Photonics
- Anderson localization of a non-interacting Bose-Einstein condensate
- Is Random Close Packing of Spheres Well Defined?
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- Local Density Fluctuations, Hyperuniformity, and Order Metrics
- On-Chip Random Spectrometer
- Statistical Signatures of Photon Localization
- Synthetic three-dimensional atomic structures assembled atom by atom
- Designer disordered materials with large complete photonic band gaps
- Hyperuniform States of Matter
- Observation of the critical regime near Anderson localization of light
- Anderson localization of entangled photons in an integrated quantum walk
- Decoherence and disorder in quantum walks: From ballistic spread to localization
- Isotropic Band Gaps and Freeform Waveguides Observed in Hyperuniform Disordered Photonic Solids
- Absence of Anderson localization of light in a random ensemble of point scatterers
- Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
- Matter-wave diffraction from a quasicrystalline optical lattice
- Transport Phase Diagram and Anderson Localization in Hyperuniform Disordered Photonic Materials
- Direct determination of the transition to localization of light in three dimensions
- Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings
- Universal gates based on targeted phase shifts in a 3D neutral atom array
- Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
- Coherent addressing of individual neutral atoms in a 3D optical lattice
- Cooperative effects and disorder: A scaling analysis of the spectrum of the effective atomic Hamiltonian
- Magnetic-field-driven localization of light in a cold-atom gas
- Quantum-gas microscopes - A new tool for cold-atom quantum simulators
- Can 3D light localization be reached in "white paint"?
- Ground states of stealthy hyperuniform potentials: I. Entropically favored configurations
- Collective Coordinate Control of Density Distributions
- Experimental Tuning of Transport Regimes in Hyperuniform Disordered Photonic Materials
- The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
- Ioffe-Regel criterion of Anderson localization in the model of resonant point scatterers
- Nonlocal Effective Electromagnetic Wave Characteristics of Composite Media: Beyond the Quasistatic Regime
- Structural Characterization of Many-Particle Systems on Approach to Hyperuniform States
- Lower bound for the spatial extent of localized modes in photonic-crystal waveguides with small random imperfections
- From closed to open 1D Anderson model: Transport versus spectral statistics
- Light Localization and Cooperative Coupling Effects in Aperiodic Vogel Spirals
- Localization transition for light scattering by cold atoms in an external magnetic field
- Local Number Fluctuations in Hyperuniform and Nonhyperuniform Systems: Higher-Order Moments and Distribution Functions
- Photonic hyperuniform networks by silicon double inversion of polymer templates
- Longitudinal modes in diffusion and localization of light
- Search for Anderson localization of light by cold atoms in a static electric field
- Localization of light in a three-dimensional disordered crystal of atoms
- Subdiffusive light transport in three-dimensional subrandom arrays
- Hyperuniformity and wave localization in pinwheel scattering arrays
- Aperiodic photonics of elliptic curves
- Spatial coherence of light inside three dimensional media
- Crossover from renormalized to conventional diffusion near the 3D Anderson localization transition for light
Cited by in corpus (10)
- Light in correlated disordered media
- Effective Electromagnetic Wave Properties of Disordered Stealthy Hyperuniform Layered Media Beyond the Quasistatic Regime
- Theoretical Prediction of the Effective Dynamic Dielectric Constant of Disordered Hyperuniform Anisotropic Composites Beyond the Long-Wavelength Regime
- Generating large disordered stealthy hyperuniform systems with ultra-high accuracy to determine their physical properties
- Extraordinary Optical and Transport Properties of Disordered Stealthy Hyperuniform Two-Phase Media
- Light transport through amorphous photonic materials with localization and bandgap regimes
- Multiscale Physics-Informed Neural Networks for the Inverse Design of Hyperuniform Optical Materials
- Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings
- Enhanced wave localization in multifractal scattering media
- Robust Correlation-Induced Localization Under Time-Reversal Symmetry Breaking