Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems

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 $\chi$. 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 $\chi$. The transition is characterized by studying the Thouless number and the spectral statistics of the scattering resonances. In particular, by tuning the $\chi$ 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.

12 pages, 7 figures

References in corpus (14)

• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Designer disordered materials with large complete photonic band gaps
• Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
• Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
• 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
• Collective Coordinate Control of Density Distributions
• The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
• Structural Characterization of Many-Particle Systems on Approach to Hyperuniform States
• Search for Anderson localization of light by cold atoms in a static electric field
• Hyperuniformity and wave localization in pinwheel scattering arrays
• Aperiodic photonics of elliptic curves
• 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