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It is proposed that the propagation of light in disordered photonic lattices can be harnessed as a random projection that preserves distances between a set of projected vectors. This mapping is enabled by the complex evolution matrix of a…

Optics · Physics 2021-10-01 Mohammad-Ali Miri

We develop a model based on a multiple scattering theory to describe the diffusion of polarized light in disordered media exhibiting short-range structural correlations. Starting from exact expressions of the average field and the field…

Optics · Physics 2016-10-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

Disordered Systems and Neural Networks · Physics 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

The local density of states of a degenerate semiconductor is investigated at low magnetic fields. In order to realize this experiment, we designed a strongly asymmetric double-barrier heterostructure with heavily doped contacts and study…

Condensed Matter · Physics 2009-10-28 T. Schmidt , R. J. Haug , V. I. Fal'ko , K. v. Klitzing , A. Foerster , H. Lueth

We demonstrate experimentally that structural perturbations imposed on highly-dispersive photonic crystal-based waveguides give rise to spectral features that bear signatures of Anderson localization. Sharp resonances with the effective Qs…

Optics · Physics 2009-11-13 Juraj Topolancik , Rob Ilic , Frank Vollmer

We provide detailed comparisons between experimental findings and numerical simulations of large cooperatively interacting, spatially disordered metamaterial arrays, consisting of asymmetrically split rings. Simulation methods fully…

Structured light is routinely used in free space optical communication channels, both classical and quantum, where information is encoded in the spatial structure of the mode for increased bandwidth. Unlike polarisation, the spatial…

Optics · Physics 2025-05-08 Asher Klug , Cade Peters , Andrew Forbes

Introduction of optical gain to a disordered system results in enhanced fluctuations [$F_{(2)}=var(\tilde{g})/< \tilde{g} >^2$] of dimensionless conductance $\tilde{g}$, similar to the effect of Anderson localization in passive medium.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexey Yamilov , Hui Cao

Sub-nuclear fluctuations in the initial state of heavy-ion collisions impact not only transverse long-range correlations of small systems, but also the creation of longitudinal structures, seen in particle detectors as longitudinal…

Nuclear Theory · Physics 2025-04-02 Oscar Garcia-Montero , Sören Schlichting , Jie Zhu

We study the photon-photon correlation properties of two-photon transport in a one-dimensional waveguide coupled to a nonlinear cavity via a real-space approach. It is shown that the intrinsic dissipation of the nonlinear cavity has an…

Quantum Physics · Physics 2014-09-24 Xun-Wei Xu , Yong Li

We study long range density fluctuations (hyperuniformity) in two-dimensional jammed packings of bidisperse droplets. Taking advantage of microfluidics, we systematically span a large range of size and concentration ratios of the two…

Soft Condensed Matter · Physics 2017-11-21 Joshua Ricouvier , Romain Pierrat , Rémi Carminati , Patrick Tabeling , Pavel Yazhgur

We consider a problem of superconductivity coexistence with the spin-density-wave order in disordered multiband metals. It is assumed that random variations of the disorder potential on short length scales render the interactions between…

Superconductivity · Physics 2021-07-28 Maxim Dzero , Alex Levchenko

A general theory is presented for the spatial correlations in the intensity of the radiation emitted by a random medium in thermal equilibrium. We find that a non-zero correlation persists over distances large compared to the transverse…

Quantum Physics · Physics 2007-05-23 M. Patra , C. W. J. Beenakker

The nature of the interplay between fluctuations and quenched random disorder is a long-standing open problem, particularly in systems with a continuous order parameter. This lack of a full theoretical treatment has been underscored by…

Strongly Correlated Electrons · Physics 2024-01-22 Matthew C. O'Brien , Eduardo Fradkin

Photonic waveguides are prime candidates for integrated and parallel photonic interconnects. Such interconnects correspond to large-scale vector matrix products, which are at the heart of neural network computation. However, parallel…

Emerging Technologies · Computer Science 2020-06-29 Johnny Moughames , Xavier Porte , Michael Thiel , Gwenn Ulliac , Maxime Jacquot , Laurent Larger , Muamer Kadic , Daniel Brunner

We follow the temporal evolution of mesoscopic intensity fluctuations and correlation in strongly localized samples. We find an initial burst in relative transmission fluctuations in random one dimensional (1D) samples due to fluctuations…

Disordered Systems and Neural Networks · Physics 2015-06-03 J. Wang , A. A. Chabanov , D. Y. Lu , Z. Q. Zhang , A. Z. Genack

We consider a two-dimensional extension of the 1D waveguide quantum electrodynamics and investigate the nature of linear excitations in two-dimensional arrays of qubits coupled to networks of chiral waveguides. We show that the combined…

Quantum Physics · Physics 2021-03-10 Y. Marques , I. A. Shelykh , I. V. Iorsh

When mid-infrared light interacts with nanoscale polar dielectric structures optical phonon propagation cannot be ignored, leading to a rich nonlocal phenomenology which we have only recently started to uncover. In properly crafted…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Christopher R. Gubbin , Simone De Liberato

We discuss and briefly overview recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the…

Quantum Physics · Physics 2017-12-21 D. V. Savin