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Anderson localisation is an important phenomenon arising in many areas of physics, and here we explore it in the context of quantum information devices. Finite dimensional spin chains have been demonstrated to be important devices for…

Quantum Physics · Physics 2016-09-19 R. Ronke , M. P. Estarellas , I. D'Amico , T. P. Spiller , T. Miyadera

A field theory of the Anderson transition in two dimensional disordered systems with spin-orbit interactions and time-reversal symmetry is developed, in which the proliferation of vortex-like topological defects is essential for…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Liang Fu , C. L. Kane

We investigate disorder induced localization in the presence of nonlinearity and curvature. We numerically analyze the time-resolved three-dimensional expansion of a wave-packet in a bended cigar shaped potential with a focusing Kerr-like…

Optics · Physics 2014-02-25 Claudio Conti

We study numerically the effects of nonlinearity on the Anderson localization in lattices with disorder in one and two dimensions. The obtained results show that at moderate strength of nonlinearity an unlimited spreading over the lattice…

Disordered Systems and Neural Networks · Physics 2009-02-09 Ignacio Garcia-Mata , Dima L. Shepelyansky

One of the daunting challenges in optical physics is to accurately control the flow of light at the subwavelength scale, by patterning the optical medium one can design anisotropic media. The light transport can also be significantly…

Disorder effects strongly influence the transport properties of graphene based nanodevices even to the point of Anderson localization. Focusing on the local density of states and its distribution function, we analyze the localization…

Strongly Correlated Electrons · Physics 2015-05-13 Gerald Schubert , Jens Schleede , Holger Fehske

Two-dimensional random metal networks possess unique electrical and optical properties, such as almost total optical transparency and low sheet resistance, which are closely related to their disordered structure. Here we present a detailed…

We present a review of theoretical and experimental works on the problem of mutual interplay of Anderson localization and superconductivity in strongly disordered systems. We start with brief discussion of modern aspects of localization…

Disordered Systems and Neural Networks · Physics 2008-02-03 M. V. Sadovskii

The macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich of counter-intuitive…

Disordered Systems and Neural Networks · Physics 2013-07-09 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia

A quantum system of particles can exist in a localized phase, exhibiting ergodicity breaking and maintaining forever a local memory of its initial conditions. We generalize this concept to a system of extended objects, such as strings and…

Statistical Mechanics · Physics 2018-10-10 Michael Pretko , Rahul M. Nandkishore

We present a thorough study of the complexity of optical localized modes in two-dimensional disordered photonic crystals. Direct experimental measurements of complexity were made using an interferometric setup that allowed for extraction of…

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

Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum…

Atomic Physics · Physics 2017-06-07 Krzysztof Giergiel , Krzysztof Sacha

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

We present a detailed theoretical study of the effects of structural disorder on LN photonic crystal slab cavities, ranging from short to long length scales, using a fully-3D Bloch mode expansion technique. We compute the optical density of…

Disordered Systems and Neural Networks · Physics 2018-05-09 J. P. Vasco , Stephen Hughes

Understanding the ability of particles to maneuver through disordered environments is a central problem in innumerable settings, from active matter and biology to electronics. Macroscopic particles ultimately exhibit diffusive motion when…

Fluid Dynamics · Physics 2024-09-18 Abel J. Abraham , Stepan Malkov , Frane A. Ljubetic , Matthew Durey , Pedro J. Sáenz

We study analytically and numerically the Anderson model in one dimension with "stealthy" disorder, defined as having a power spectrum that vanishes in a continuous band of wave numbers. Motivated by recent studies on the optical…

Disordered Systems and Neural Networks · Physics 2026-04-15 Carlo Vanoni , Jonas Karcher , Mikael C. Rechtsman , Boris L. Altshuler , Paul J. Steinhardt , Salvatore Torquato

In a disordered environment, the probability of transmission of a wave reduces with increasing disorder, the ultimate limit of which is the near-zero transmission due to Anderson localization. Under localizing conditions, transport is…

Disordered Systems and Neural Networks · Physics 2022-06-14 Himadri Sahoo , R Vijay , Sushil Mujumdar

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

Strong localization of light in three-dimensional disordered dielectric systems remains challenging to establish because it requires extremely strong recurrent scattering, while the long-lived localized contribution can be weak and masked…

Optics · Physics 2026-05-26 Yevgen Grynko , Jens Förstner
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