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The Anderson model in one dimension is a quantum particle on a discrete chain of sites with nearest-neighbor hopping and random on-site potentials. It is a progenitor of many further models of disordered systems, and it has spurred numerous…

Disordered Systems and Neural Networks · Physics 2025-11-27 Oleg Evnin

Random lasers with low spatial coherence have important potential applications in high quality imaging and displaying. Here, a random laser with tunable angular spectra is proposed and fabricated through directly coupling an asymmetric…

Optics · Physics 2021-10-08 Huihui Shen , Yaoxing Bian , Junyan Li , Weinian Liu , Hanyi Xue , Zhaona Wang

We study spectral properties of partial differential operators modelling composite materials with highly contrasting constituents, comprised of soft spherical inclusions with random radii dispersed in a stiff matrix. Such operators have…

Spectral Theory · Mathematics 2025-12-03 Matteo Capoferri , Matthias Täufer

We undertake an exact numerical study of the effects of disorder on the Anderson localization of electronic states in graphene. Analyzing the scaling behaviors of inverse participation ratio and geometrically averaged density of states, we…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Yun Song , Hongkang Song , Shiping Feng

Coupled nanolasers are of growing interest for on-chip optical computation and data transmission, which requires an understanding of how lasers interact to form complex systems. The non-Hermitian interaction between two coupled resonators,…

We study Anderson localization of single particles in continuous, correlated, one-dimensional disordered potentials. We show that tailored correlations can completely change the energy-dependence of the localization length. By considering…

Disordered Systems and Neural Networks · Physics 2013-03-28 Marie Piraud , Laurent Sanchez-Palencia

Complex dielectric media often appear opaque because light traveling through them is scattered multiple times. Although the light scattering is a random process, different paths through the medium can be correlated encoding information…

Optics · Physics 2013-01-08 Pedro David García , Søren Stobbe , Immo Söllner , Peter Lodahl

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

Disordered Systems and Neural Networks · Physics 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik

As part of condensed-matter physics, the field of Anderson localization concerns the study of conductance of electrons in a random medium. We summarize and explain the results obtained in "A new numerical approach to Anderson…

Mathematical Physics · Physics 2012-07-17 Constanze Liaw

We study the disorder-induced localisation transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Ortuño , A. M. Somoza , J. T. Chalker

We discovered novel Anderson localization behaviors of pseudospin systems in a 1D disordered potential. For a pseudospin-1 system, due to the absence of backscattering under normal incidence and the presence of a conical band structure, the…

Disordered Systems and Neural Networks · Physics 2017-04-20 Anan Fang , Zhao-Qing Zhang , Steven G. Louie , C. T. Chan

Anderson localization of classical waves in disordered media is a fundamental physical phenomenon that has attracted attention in the past three decades. More recently, localization of polar excitations in nanostructured metal-dielectric…

Optics · Physics 2007-05-23 Vadim A. markel

We demonstrate experimentally an efficient control of light intensity distribution inside a random scattering system. The adaptive wavefront shaping technique is applied to a silicon waveguide containing scattering nanostructures, and the…

Optics · Physics 2016-08-24 Raktim Sarma , Alexey Yamilov , Sasha Petrenko , Yaron Bromberg , Hui Cao

Reflection of near-infrared light is important for preventing heat transfer in energy saving applications. A large-area, mass-producible reflector that contains randomly distributed disk-shaped silver nanoparticles and that exhibits high…

Anderson localization is a multiple-scattering phenomenon of linear waves propagating within a disordered medium. Discovered in the late 50s for electrons, it has since been observed experimentally with cold atoms and with classical waves…

Disordered Systems and Neural Networks · Physics 2024-07-10 Guillaume Ricard , Filip Novkoski , Eric Falcon

We investigate the disorder-induced localization transition in Bose-Einstein condensates for the Anderson and Aubry-Andre models in the non-interacting limit using exact diagonalization. We show that, in addition to the standard superfluid…

Statistical Mechanics · Physics 2011-03-04 J. C. C. Cestari , A. Foerster , M. A. Gusmão

Random lasing is an intriguing phenomenon occurring in disordered structures with optical gain. In such lasers, the scattering of light provides the necessary feedback for lasing action. Because of the light scattering, the random lasing…

In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong…

Disordered Systems and Neural Networks · Physics 2023-07-21 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

We study theoretically the competition between directional asymmetric coupling and disorder in a one-dimensional array of quantum emitters chirally coupled through a waveguide mode. Our calculation reveals highly nontrivial phase diagram…

Disordered Systems and Neural Networks · Physics 2022-10-11 G. Fedorovich , D. Kornovan , A. Poddubny , M. Petrov

Anderson localization, i.e. the suppression of diffusion in lattices with random or incommensurate disorder, is a fragile interference phenomenon which is spoiled out in the presence of dephasing effects or fluctuating disorder. As a…

Optics · Physics 2025-04-10 Stefano Longhi