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The phenomenon of Anderson localization is studied for a class of one-particle Schr\"odinger operators with random Zeeman interactions. These operators arise as follows: Static spins are placed randomly on the sites of a simple cubic…

Disordered Systems and Neural Networks · Physics 2015-05-27 Daniel Egli , Jürg Fröhlich , Hans-Rudolf Ott

Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized, implying that the distribution of an…

Disordered Systems and Neural Networks · Physics 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

We study temperature induced metal-insulator transition in doped ferromagnetic semiconductors, described by s-d exchange model. The transition is a result of the mobility edge movement, the disorder being due to magnetic ions spin density…

Condensed Matter · Physics 2007-05-23 Eugene Kogan , Mark Auslender

The interplay between nonlinear effects and Anderson localization in disordered optical fibres1 has recently attracted great interest, and it is important in the action of random lasers in which closed multiple scattering loops have…

Disordered Systems and Neural Networks · Physics 2015-04-08 Georg Maret , Tilo Sperling , Wolfgang Bührer , Andreas Lubatsch , Regine Frank , Christof M. Aegerter

Anderson localization is a ubiquitous interference phenomenon in which waves fail to propagate in a disordered medium. Unlike in a classical resonator, satisfying the favorable condition for the interference in a disordered medium is truly…

Optics · Physics 2019-01-23 Suman Kalyan Manna , Laurent Dupont , Sasanka Dalapati

We study three-dimensional optical Anderson localization in medium with a percolating disorder, where the percolating clusters are filled by the light nanoemitters in the excited state. The peculiarity of situation is that in such materials…

Disordered Systems and Neural Networks · Physics 2017-06-22 Gennadiy Burlak

We consider diagonal disordered one-dimensional Anderson models with an underlying periodicity. We assume the simplest periodicity, i.e., we have essentially two lattices, one that is composed of the random potentials and the other of…

Disordered Systems and Neural Networks · Physics 2009-10-30 Michael Hilke

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

Disordered Systems and Neural Networks · Physics 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

The aim of this paper is to demonstrate, by simple numerical simulations, the main transport properties of disordered electron systems.

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Peter Markos

If disorder-induced Anderson localized states have been observed experimentally in optics, their study remains challenging leaving a number of open questions unsolved. Among them, the impact on Anderson localization of non-Hermiticity,…

Optics · Physics 2022-01-25 Bhupesh Kumar , Patrick Sebbah

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

The wave function of a non-relativistic particle in a periodic potential admits oscillatory solutions, the Bloch waves. In the presence of a random noise contribution to the potential the wave function is localized. We outline a new proof…

High Energy Physics - Theory · Physics 2015-05-13 Robert Brandenberger , Walter Craig

We study the dynamics of a monitored single particle in a one-dimensional, Anderson-localized system. The time evolution is governed by Hamiltonian dynamics for fixed time intervals, interrupted by local, projective measurements. The…

Disordered Systems and Neural Networks · Physics 2023-05-24 Paul Pöpperl , Igor V. Gornyi , Yuval Gefen

Two adaptive relaxation strategies are proposed for Anderson acceleration. They are specifically designed for applications in which mappings converge to a fixed point. Their superiority over alternative Anderson acceleration is demonstrated…

Numerical Analysis · Mathematics 2024-09-02 Nicolas Lepage-Saucier

We propose a novel realization of Anderson localization in non-equilibrium states of ultracold atoms trapped in state-dependent optical lattices. The disorder potential leading to localization is generated with a Rabi pulse transfering a…

Quantum Gases · Physics 2010-11-29 Birger Horstmann , Stephan Dürr , Tommaso Roscilde

During the last 30 years, the search for Anderson localization of light in three-dimensional (3D) disordered samples yielded a number of experimental observations that were first considered successful, then disputed by opponents, and later…

Disordered Systems and Neural Networks · Physics 2016-01-29 S. E. Skipetrov , J. H. Page

In linear disordered systems Anderson localization makes any wave packet stay localized for all times. Its fate in nonlinear disordered systems is under intense theoretical debate and experimental study. We resolve this dispute showing that…

Disordered Systems and Neural Networks · Physics 2015-05-30 M. V. Ivanchenko , T. V. Laptyeva , S. Flach

Anderson localization lasers exploit resonant cavities formed due to structural disorder. The inherent randomness in the structure of these cavities realizes a probability distribution in all cavity parameters such as quality factors, mode…

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

Optics · Physics 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

Anderson localization is a famous wave phenomenon that describes the absence of diffusion of waves in a disordered medium. Here we generalize the landscape theory of Anderson localization to general elliptic operators and complex boundary…

Mathematical Physics · Physics 2022-11-09 Chen Jia , Ziqi Liu , Zhimin Zhang
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