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This study investigates the interplay between structural disorder, absorption, and Lyapunov exponent dynamics to exploit localization phenomena in photonic crystals with engineered defect layers. We generate disorder by introducing random…

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

We study the localization properties of non-interacting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a decimation/renormalization procedure, we estimate the localization length for a…

Disordered Systems and Neural Networks · Physics 2015-05-30 Serpil Sucu , Saban Aktas , S. Erol Okan , Zehra Akdeniz , Patrizia Vignolo

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

In this paper, we study the full conductance statistics of disordered one dimensional wire under the application of light. We develop the transfer matrix method for periodically driven systems to analyze the conductance of large system with…

Disordered Systems and Neural Networks · Physics 2015-06-03 Takuya Kitagawa , Takashi Oka , Eugene Demler

In this paper, we propose a one-dimensional disordered plasmonic structure composed of a graphene single layer placed on a random grating composed of InAs. The propagation of a plasmonic wave through this structure is investigated…

Optics · Physics 2018-09-11 Abbas Ghasempour Ardakani , Marzieh Sedaghat Nejad

We investigate numerically the propagation and the Anderson localization of plane waves in a one-dimensional lattice chain, where disorder and saturable nonlinearity are simultaneously present. Using a calculation scheme for solving the…

Disordered Systems and Neural Networks · Physics 2017-08-08 Ba Phi Nguyen , Kihong Kim

We study both theoretically and experimentally the effects of introducing deliberate disorder in a slow-light photonic crystal waveguide on the photon density of states. We first introduce a theoretical model that includes both deliberate…

Optics · Physics 2015-09-02 Nishan Mann , Alisa Javadi , P. D. García , Peter Lodahl , Stephen Hughes

The effects of short range disorder on the polarisation characteristics of light in photonic crystal waveguides were investigated using finite difference time domain simulations with a view to investigating the stability of polarisation…

Optics · Physics 2015-12-15 Ben Lang , Daryl M. Beggs , Andrew B. Young , John G. Rarity , Ruth Oulton

We address Anderson localization in disordered honeycomb photonic lattices and show that the localization process is strongly affected by the spectral position of the input wavepacket within the first Brillouin zone of the lattice. In spite…

When light waves propagate through disordered photonic lattices, they can eventually become localized due to multiple scattering effects. Here we show experimentally that while the evolution and localization of the photon density…

Disordered Systems and Neural Networks · Physics 2015-05-27 Y. Lahini , Y. Bromberg , Y. Shechtman , A. Szameit , D. N. Christodoulides , R. Morandotti , Y. Silberberg

We provide an analytical model to fabricate an exponential localization of a Bose-Einstein condensate under bichromatic optical lattice. Such localization is famously known as Anderson localization. The degree of localization is…

Quantum Gases · Physics 2022-12-13 Sriganapathy Raghav , Barun Halder , Pradosh Basu , Utpal Roy

We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the…

Disordered Systems and Neural Networks · Physics 2008-04-28 S. E. Skipetrov , A. Minguzzi , B. A. van Tiggelen , B. Shapiro

We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lattices, which localize at infinitesimal disorder, and Bethe…

Disordered Systems and Neural Networks · Physics 2024-08-20 Anffany Chen , Joseph Maciejko , Igor Boettcher

We introduce a theory to describe disorder-induced scattering in photonic crystal waveguides, specifically addressing the influence of local field effects and scattering within high-index-contrast perturbations. Local field effects are…

Mesoscale and Nanoscale Physics · Physics 2012-01-13 M Patterson , S. Hughes

Localization of coherent propagating waves has been extensively studied over the years, primarily in homogeneous random media. However, significantly less attention has been given to wave localization in inhomogeneous systems, where the…

Disordered Systems and Neural Networks · Physics 2026-01-27 Alejandro Ramírez-Yañez , Thomas Gorin , Rodrigo A. Vicencio , Víctor A. Gopar

Optical nanostructures have proven to be meritorious for tailoring the emission properties of quantum emitters. However, unavoidable fabrication imperfections may represent a nuisance. Quite remarkably, disorder offers new opportunities…

In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive…

Disordered Systems and Neural Networks · Physics 2017-02-22 I. Yusipov , T. Laptyeva , S. Denisov , M. Ivanchenko

Localization of electromagnetic waves in disordered potentials is prevented by polarization terms, so only light scattering systems of dimensions $d=1$ and $2$ with scalar properties exhibit light localization. We here show that this result…

Optics · Physics 2020-01-03 Carlos E. Máximo , Noel A. Moreira , Robin Kaiser , Romain Bachelard

We study the spatial structure of wave functions with exceptionally high local amplitudes in the Anderson model of localisation. By means of exact diagonalisations of finite systems, we obtain and analyse images of these wave functions: we…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Uski , B. Mehlig , M. Schreiber