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Several aspects of interplay between Anderson localization and coherent amplification/absorption, and aspect of mirrorless laser for a laser-active (amplifying) disordered dielectric medium have been addressed. We have calculated the…

无序系统与神经网络 · 物理学 2007-05-23 Prabhakar Pradhan

We study the scattering modes of light in a three-dimensional disordered medium, in the scalar approximation and above the critical density for Anderson localization. Localized modes represent a minority of the total number of modes, even…

光学 · 物理学 2020-01-08 N. A. Moreira , R. Kaiser , R. Bachelard

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…

无序系统与神经网络 · 物理学 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

We study the properties of the spinor wavefunction in a strongly disordered environment on a two-dimensional lattice. By employing a transfer-matrix calculation we find that there is a transition from delocalized to localized states at a…

无序系统与神经网络 · 物理学 2013-10-09 A. Hill , K. Ziegler

We theoretically study the Anderson localization of a matter wave packet in a one-dimensional disordered potential. We develop an analytical model which includes the initial phase-space density of the matter wave and the spectral broadening…

无序系统与神经网络 · 物理学 2011-03-08 Marie Piraud , Pierre Lugan , Philippe Bouyer , Alain Aspect , Laurent Sanchez-Palencia

We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

无序系统与神经网络 · 物理学 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

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…

无序系统与神经网络 · 物理学 2021-04-14 Hiroaki S. Yamada , Kensuke S. Ikeda

The Typical Medium Theory provides conceptually the simplest order parameter description of Anderson localization by self-consistently calculating the geometrically-averaged (typical) local density of states (LDOS). Here we show how spatial…

无序系统与神经网络 · 物理学 2016-08-08 Samiyeh Mahmoudian , Vladimir Dobrosavljević

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…

无序系统与神经网络 · 物理学 2015-05-27 Y. Lahini , Y. Bromberg , Y. Shechtman , A. Szameit , D. N. Christodoulides , R. Morandotti , Y. Silberberg

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…

光学 · 物理学 2010-04-22 Clinton Thompson , Gautam Vemuri , G. S. Agarwal

The impact of local reflection symmetry on wave localization and transport within finite disordered chains is investigated. Local symmetries thereby play the role of a spatial correlation of variable range in the finite system. We find…

无序系统与神经网络 · 物理学 2020-08-21 C. V. Morfonios , M. Röntgen , F. K. Diakonos , P. Schmelcher

The one dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at $E_c = \epsilon_{a,b}$ of two possible values of the chemical potential in case of…

无序系统与神经网络 · 物理学 2009-09-29 T. Sedrakyan

We study Anderson localization and propagation of partially-spatially incoherent wavepackets in linear disordered potentials, motivated by the insight that interference phenomena resulting from multiple scattering are affected by the…

光学 · 物理学 2015-05-27 D. Čapeta , J. Radić , A. Szameit , M. Segev , H. Buljan

We investigate two one-dimensional tight-binding models with disorder that have extended states at zero energy. We use exact and partial diagonalisation of the Hamiltonian to obtain the eigenmodes and the associated participation ratios,…

无序系统与神经网络 · 物理学 2025-08-27 Luca Schaefer , Barbara Drossel

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…

强关联电子 · 物理学 2009-11-11 Yun Song , W. A. Atkinson , R. Wortis

The Anderson delocalization-localization transition is studied in multilayered systems with randomly placed interlayer bonds of density $p$ and strength $t$. In the absence of diagonal disorder (W=0), following an appropriate perturbation…

无序系统与神经网络 · 物理学 2009-10-31 S. N. Evangelou , Shi-Jie Xiong , P. Markov , D. E. Katsanos

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…

无序系统与神经网络 · 物理学 2024-08-20 Anffany Chen , Joseph Maciejko , Igor Boettcher

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

光学 · 物理学 2012-08-23 D. Molinari , A. Fratalocchi

The venerable phenomena of Anderson localization, along with the much more recent many-body localization, both depend crucially on the presence of disorder. The latter enters either in the form of quenched disorder in the parameters of the…

强关联电子 · 物理学 2017-07-04 Adam Smith , Johannes Knolle , Dmitry L. Kovrizhin , Roderich Moessner

We study the interplay of Anderson localization and interaction in a two chain Hubbard ladder allowing for arbitrary ratio of disorder strength to interchain coupling. We obtain three different types of spin gapped localized phases…

强关联电子 · 物理学 2009-11-07 E. Orignac , Y. Suzumura