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A localized defect mode in a photonic-layered structure develops nodal points. Placing a thin metallic layer at such a nodal point results in the phenomenon of induced transparency. We demonstrate that if this nodal point is not a point of…

The present paper deals with the wave propagation in a particular two dimensional structure, obtained from a localized perturbation of a reference periodic medium. This reference medium is a ladder like domain, namely a thin periodic…

Analysis of PDEs · Mathematics 2017-09-20 Bérangère Delourme , Sonia Fliss , Patrick Joly , Elizaveta Vasilevskaya

In this work we show that under specific anomalous diffusion conditions, chemical systems can produce well-ordered self-similar concentration patterns through a diffusion-driven instability. We also find spiral patterns and patterns with…

Pattern Formation and Solitons · Physics 2017-02-22 D. Hernández , E. C. Herrera-Hernández , M. Núñez-López , H. Hernández-Coronado

In this paper, we review the recent activity of our group on the study of disorder effects on systems displaying phase coherence. These studies have focused on both the electronic transport through mesoscopic metallic spin glasses, and cold…

Disordered Systems and Neural Networks · Physics 2015-05-14 David Carpentier , Edmond Orignac , Guillame Paulin , Tommaso Roscilde

We reveal the relevance between the nonlocality and the focusing/defocusing states in nonlocally nonlinear media, and predict a novel phenomenon that the self-focusing/self-defocusing property of the optical beam in the nonlocally nonlinear…

When waves scatter multiple times in 3D random media, a disorder driven phase transition from diffusion to localization may occur [Anderson 1958 Phys. Rev. 109 1492-505; Abrahams et al 1979 Phys. Rev. Lett. 42 673-6]. In "The question of…

Disordered Systems and Neural Networks · Physics 2016-01-20 Tilo Sperling , Lukas Schertel , Mirco Ackermann , Geoffroy J. Aubry , Christof M. Aegerter , Georg Maret

We investigate the localization transition of interacting particles in a one-dimensional correlated disorder system. The disorder which we investigate allows for vanishing backwards scattering processes. We derive by two renormalization…

Disordered Systems and Neural Networks · Physics 2026-05-12 Giacomo Morpurgo , Laurent Sanchez-Palencia , Thierry Giamarchi

In this paper we investigate the properties of self induced transparency (SIT) solitons, propagating in a $\Lambda$-type medium. It was found that the interaction between SIT solitons can lead to trapping with their phase preserved in the…

Optics · Physics 2013-05-29 Willem P. Beeker , Chris J. Lee , Edip Can , Klaus J. Boller

We study the order parameter of a quasi-2D gas of ultracold atoms trapped in an optical potential in the presence of controllable disorder. Our results show that disorder drives phase fluctuations without significantly affecting the…

Quantum Gases · Physics 2012-09-03 M. C. Beeler , M. E. W. Reed , T. Hong , S. L. Rolston

Using a non-Hermitian Hamiltonian approach to open systems, we study the interplay of disorder and superradiance in a one- and three-dimensional Anderson model. Analyzing the complex eigenvalues of the non-Hermitian Hamiltonian, a…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 Alberto Biella

The self-consistent theory of Anderson localization of quantum particles or classical waves in disordered media is reviewed. After presenting the basic concepts of the theory of Anderson localization in the case of electrons in disordered…

Disordered Systems and Neural Networks · Physics 2015-05-18 P. Wölfle , D. Vollhardt

In this work we have studied the optical properties of disordered photonic structures, in which we have controlled the distribution of the random layer thickness. Such structures are characterized by an alternation of high and low…

Optics · Physics 2015-02-04 Francesco Scotognella

Here we would like to discuss the light transmission modulation by periodic and disordered one dimensional (1D) photonic structures. In particular, we will present some theoretical and experimental findings highlighting the peculiar optical…

The formation of self-organized patterns and localized states are ubiquitous in Nature. Localized states containing trivial symmetries such as stripes, hexagons, or squares have been profusely studied. Disordered patterns with non-trivial…

Pattern Formation and Solitons · Physics 2022-02-09 Marcel G. Clerc , Sebastián Echeverría-Alar , Mustapha Tlidi

We study transport of interacting particles in weakly disordered media. Our one-dimensional system includes (i) disorder: the hopping rate governing the movement of a particle between two neighboring lattice sites is inhomogeneous, and (ii)…

Statistical Mechanics · Physics 2009-05-13 E. Ben-Naim , P. L. Krapivsky

We demonstrate experimentally that long-range intensity correlation for light propagating inside random photonic waveguides can be modified by changing the shape of the waveguide. The functional form of spatial correlation is no longer…

Optics · Physics 2017-03-30 Raktim Sarma , Alexey Yamilov , Pauf Neupane , Hui Cao

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…

Disordered Systems and Neural Networks · Physics 2020-08-21 C. V. Morfonios , M. Röntgen , F. K. Diakonos , P. Schmelcher

The distribution function for the intensity of radiation propagating in a random medium is analyzed for arbitrary multiplicity of scattering (for arbitrary relation between the distance of propagation and mean free path), including as…

Condensed Matter · Physics 2007-05-23 Eugene Kogan , Moshe Kaveh

In disordered systems, the amplitudes of the localized states will decrease exponentially away from their centers and the localization lengths are characterizing such decreasing. In this article, we find a model in which each eigenstate is…

Disordered Systems and Neural Networks · Physics 2023-09-04 Ye Xiong

Using a Multiple Scattering Theory algorithm, we investigate numerically the transmission of ultrasonic waves through a disordered locally resonant metamaterial containing only monopolar resonators. By comparing the cases of a perfectly…

Soft Condensed Matter · Physics 2017-12-20 Maxime Lanoy , John H. Page , Geoffroy Lerosey , Fabrice Lemoult , Arnaud Tourin , Valentin Leroy
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