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The effect of focusing and defocusing nonlinearities on Anderson localization in highly nonlocal media is theoretically and numerically investigated. A perturbative approach is developed to solve the nonlocal nonlinear Schroedinger equation…

Optics · Physics 2012-01-20 Viola Folli , Claudio Conti

We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as…

Optics · Physics 2010-04-22 Clinton Thompson , Gautam Vemuri , G. S. Agarwal

We prove Anderson localization in a disordered photonic crystal waveguide by measuring the ensemble-averaged localization length which is controlled by the dispersion of the photonic crystal waveguide. In such structures, the localization…

Optics · Physics 2015-05-18 P. D. Garcia , S. Smolka , S. Stobbe , P. Lodahl

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, $\rho_g(\omega)$, as an order parameter for the Anderson transition is examined. In the context…

Strongly Correlated Electrons · Physics 2009-11-11 Yun Song , W. A. Atkinson , R. Wortis

The multiple scattering model of a quantum particle in a random Lorentz gas consisting of fixed point scatterers is considered in arbitrary dimension. An efficient method is developed to numerically compute the map of the density of…

Quantum Physics · Physics 2022-05-11 David Gaspard , Jean-Marc Sparenberg

Anderson localization is a general phenomenon that applies to a variety of disordered physical systems. Recently, a novel manifestation of Anderson localization for wave packets launched with a finite average velocity was proposed, the…

Disordered Systems and Neural Networks · Physics 2022-11-08 Flavio Noronha , José A. S. Lourenço , Tommaso Macrì

We put forward an experimental configuration to observe transverse Anderson localization of partially coherent light beams with a tunable degree of first-order coherence. The scheme makes use of entangled photons propagating in disordered…

Quantum Physics · Physics 2014-05-09 Jiří Svozilík , Jan Peřina , Juan P. Torres

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

We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the…

Strongly Correlated Electrons · Physics 2009-11-13 Birger Horstmann , Juan Ignacio Cirac , Tommaso Roscilde

We provide an analytic theory of Anderson localization on a lattice with a weak short-range correlated disordered potential. Contrary to the general belief we demonstrate that even next-neighbor statistical correlations in the potential can…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Titov , H. Schomerus

We report on phenomenon of Anderson-type localization of walking solitons in optical lattices with random frequency modulation, manifested as dramatic enhancement of soliton trapping probability on lattice inhomogeneities with growth of the…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov Victor A. Vysloukh

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 the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

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

Solutions of the wave equations for time-independent disordered media can exhibit Anderson localization where instead of wave propagation we observe their localization around different points in space. Photonic time crystals are spatially…

A new type of delocalization induced by coherent harmonic perturbations in one-dimensional Anderson-localized disordered systems is investigated. With only a few $M$ frequencies a normal diffusion is realized, but the transition to…

Disordered Systems and Neural Networks · Physics 2021-04-14 Hiroaki S. Yamada , Kensuke S. Ikeda

Staring from the kicked rotator as a paradigm for a system exhibiting classical chaos, we discuss the role of quantum coherence resulting in dynamical localization in the kicked quantum rotator. In this context, the disorder-induced…

Statistical Mechanics · Physics 2023-07-19 L. Chotorlishvili , S. Stagraczyński , M. Schüler , J. Berakdar

Light scattering and localization in strongly scattering disordered systems is governed by the nature of the underlying eigenmodes, specially their spatial extension within the system. One of the main challenges in studying experimentally…

Optics · Physics 2020-10-14 Bhupesh Kumar , Melanie Lebental , Patrick Sebbah

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

In the context of an isolated three-dimensional noninteracting fermionic lattice system, we study the effects of a sudden quantum quench between a disorder-free situation and one in which disorder results in a mobility edge and associated…

Disordered Systems and Neural Networks · Physics 2018-06-26 Armin Rahmani , Smitha Vishveshwara
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