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We study the localization phenomena in a one-dimensional lattice system with a uniformly moving disordered potential. At a low moving velocity, we find a sliding localized phase in which the initially localized matter wave adiabatically…

Quantum Gases · Physics 2023-07-06 Chenyue Guo , Zi Cai

Disorder in moire superlattices simultaneously degrades flat-band localization and induces Anderson localization, yet how these two regimes interact has remained unclear. Here, we introduce a combined framework linking localization-length…

Disordered Systems and Neural Networks · Physics 2026-04-23 Qian Liu , Xiaoshuang Xia , Junjie Wang , Peilong Hong , Lei Xu , Lujun Huang , Daohong Song , Yi Liang

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…

We show that the recently developed self-consistent theory of Anderson localization with a position-dependent diffusion coefficient is in quantitative agreement with the supersymmetry approach up to terms of the order of $1/g_0^2$ (with…

Disordered Systems and Neural Networks · Physics 2010-08-20 Ben Payne , Alexey Yamilov , Sergey E. Skipetrov

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…

Optics · Physics 2015-05-27 D. Čapeta , J. Radić , A. Szameit , M. Segev , H. Buljan

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

Anderson localization marks a halt of diffusive wave propagation in disordered systems. Despite extensive studies over the past 40 years, Anderson localization of light in three dimensions has remained elusive, leading to the question of…

Wave propagation in disordered media can be strongly modified by multiple scattering and wave interference. Ultimately the so-called Anderson-localized regime is reached when the waves become strongly confined in space. So far, Anderson…

Anderson localization (AL) is a ubiquitous interference phenomenon in which waves fail to propagate in a disordered medium. We observe three-dimensional AL of noninteracting ultracold matter by allowing a spin-polarized atomic Fermi gas to…

Quantum Gases · Physics 2011-10-12 S. S. Kondov , W. R. McGehee , J. J. Zirbel , B. DeMarco

Anderson localization transitions are a universal quantum phenomenon sensitive to the disorder and dimensionality of electronic systems. Over the past decades, this intriguing topic has inspired overwhelmingly more theoretical studies than…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 Jinhao Cheng , Chen Wang , Wenxue He , Jiaojiao Wang , Yifan Pang , Fan Yang , Shuaishuai Ding , Hechen Ren , Wenping Hu

We follow the dynamics of nonlinear waves in two-dimensional disordered lattices with tunable nonlinearity. In the absence of nonlinear terms Anderson localization traps the packet in space. For the nonlinear case a destruction of Anderson…

Chaotic Dynamics · Physics 2012-03-15 T. V. Laptyeva , J. D. Bodyfelt , S. Flach

Wave localization occurs in all types of vibrating systems, in acoustics, mechanics, optics, or quantum physics. It arises either in systems of irregular geometry (weak localization) or in disordered systems (Anderson localization). We…

Disordered Systems and Neural Networks · Physics 2011-07-05 Marcel Filoche , Svitlana Mayboroda

Anderson localisation -- the inhibition of wave propagation in disordered media -- is a surprising interference phenomenon which is particularly intriguing in two-dimensional (2D) systems. While an ideal, non-interacting 2D system of…

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

We study Anderson localization of waves in a one dimensional disordered meta-material of bilayers comprising of thin fixed length scatterers placed randomly along a homogenous medium. As an interplay between order and disorder, we identify…

Disordered Systems and Neural Networks · Physics 2018-07-11 Nitin Upadhyaya , Ariel Amir

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 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

We introduce the mode connectivity as a measure of the number of eigenmodes of a wave equation connecting two points at a given frequency. Based on numerical simulations of scattering of electromagnetic waves in disordered media, we show…

Optics · Physics 2019-01-30 Antoine Canaguier-Durand , Romain Pierrat , Rémi Carminati

Local positional disorder in soft, anharmonic materials has emerged as a central factor in shaping their electronic, vibrational, optical, and transport properties. Viewed mainly as a source of performance degradation, recent theoretical…

Materials Science · Physics 2025-10-24 Marios Zacharias , Jacky Even

Phonon localization is a phenomenon that influences numerous material properties in condensed matter physics. Anderson localization brings rise to localized atomic-scale phonon interferences in disordered lattices with an influence limited…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Albert Beardo , Paul Desmarchelier , Chia-Nien Tsai , Prajit Rawte , Konstantinos Termentzidis , Mahmoud I. Hussein