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We develop a novel approach to the Anderson localisation problem in a $d$-dimensional disordered sample of dimension $L\times M^{d-1}$. Attaching a perfect lead with the cross-section $M^{d-1}$ to one side of the sample, we derive evolution…

Mesoscale and Nanoscale Physics · Physics 2018-08-17 A. Ossipov

A general symmetry analysis of the optical conductivity or scattering tensor is used to rewrite the conductivity tensor as a sum of fundamental spectra multiplied by simple functions depending on the local magnetization direction. Using…

Strongly Correlated Electrons · Physics 2010-09-17 M. W. Haverkort , N. Hollmann , I. P. Krug , A. Tanaka

Light scattering in dense media is a fundamental problem of many-body physics, which is also relevant for the development of optical devices. In this work we investigate experimentally light propagation in a dense sample of randomly…

A solid transparent medium with randomly positioned, immobile impurity atoms is a promising candidate for observation of Anderson localization of light in three dimensions. It can have low losses and allows for mitigation of the detrimental…

Optics · Physics 2025-07-30 S. E. Skipetrov , I. M. Sokolov

We present a detailed, microscopic transport theory for light in strongly scattering disordered systems whose constituent materials exhibit linear absorption or gain. Starting from Maxwell's equations, we derive general expressions for…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Lubatsch , J. Kroha , K. Busch

Diffusive transport in many complex systems features a crossover between anomalous diffusion at short times and normal diffusion at long times. This behavior can be mathematically modeled by cutting off (tempering) beyond a mesoscopic…

Statistical Mechanics · Physics 2021-10-15 Thomas Vojta , Zachary Miller , Samuel Halladay

Scattering of electromagnetic fields by a defect layer embedded in a slow-light periodically layered ambient medium exhibits phenomena markedly different from typical scattering problems. In a slow-light periodic medium, constructed by…

Mathematical Physics · Physics 2016-01-19 Stephen P. Shipman , Aaron T. Welters

We have investigated the transport of light through slabs that both scatter and strongly absorb, a situation that occurs in diverse application fields ranging from biomedical optics, powder technology, to solid-state lighting. In…

Optics · Physics 2019-02-08 M. L. Meretska , R. Uppu , G. Vissenberg , A. Lagendijk , W. L. IJzerman , W. L. Vos

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

Understanding the microscopic origin of the rheological behavior of soft matter is a long-lasting endeavour. While early efforts concentrated mainly on the relationship between rheology and structure, current research focuses on the role of…

Soft Condensed Matter · Physics 2018-02-13 Stefano Aime , Luca Cipelletti

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

Quantum Physics · Physics 2024-06-03 Ilia Tutunnikov , Jianshu Cao

Imaging the propagation of light in time and space is crucial in optics, notably for the study of complex media. We here demonstrate the passive measurement of time-dependent Green's functions between every point at the surface of a…

Controlling the flow of energy in a random medium is a research frontier with a wide range of applications. As recently demonstrated, the effect of disorder on the transmission of optical beams, may be partially compensated by wavefront…

Optics · Physics 2013-05-01 Marco Leonetti , Claudio Conti , Cefe Lopez

We theoretically study the propagation of light in one-dimensional space- and time-dependent disorder. The disorder is described by a fluctuating permittivity $\epsilon(x,t)$ exhibiting short-range correlations in space and time, without…

Optics · Physics 2026-02-24 Alexandre Selvestrel , Julia Rocha , Rémi Carminati , Romain Pierrat

We present a theoretical analysis of light scattering from a layered metal-dielectric microsphere. The system consists of two spherical resonators, coupled through concentric embedding. Solving for the modes of this system we find that near…

Optics · Physics 2009-11-13 Charles Rohde , Keisuke Hasegawa , Miriam Deutsch

Transport of point-size Brownian particles under the influence of a constant and uniform force field through a three-dimensional channel with smoothly varying periodic cross-section is investigated. Here, we employ an asymptotic analysis in…

Statistical Mechanics · Physics 2011-07-14 Steffen Martens , Gerhard Schmid , Lutz Schimansky-Geier , Peter Hänggi

We numerically study the expansion dynamics of ultracold atoms in a one-dimensional disordered potential in the presence of a weak position measurement of the atoms. We specifically consider this position measurement to be realized by a…

Quantum Gases · Physics 2015-06-05 Boris Nowak , Jami J. Kinnunen , Murray J. Holland , Peter Schlagheck

Spatiotemporal disorder has been recently associated to the occurrence of anomalous nonergodic diffusion of molecular components in biological systems, but the underlying microscopic mechanism is still unclear. We introduce a model in which…

Statistical Mechanics · Physics 2017-03-15 C. Charalambous , G. Muñoz-Gil , A. Celi , M. F. Garcia-Parajo , M. Lewenstein , C. Manzo , M. A. García-March

Precision is a virtue throughout science in general and in optics in particular where carefully fabricated nanometer-scale devices hold great promise for both classical and quantum photonics [1-6]. In such nanostructures, unavoidable…

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