Anderson Localization

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Mordechai Segev - One of the best experts on this subject based on the ideXlab platform.

  • observation of Anderson Localization in disordered nanophotonic structures
    Science, 2017
    Co-Authors: Hanan Herzig Sheinfux, Guy Bartal, Yaakov Lumer, Guy Ankonina, Azriel Z Genack, Mordechai Segev
    Abstract:

    Anderson Localization is an interference effect crucial to the understanding of waves in disordered media. However, Localization is expected to become negligible when the features of the disordered structure are much smaller than the wavelength. Here we experimentally demonstrate the Localization of light in a disordered dielectric multilayer with an average layer thickness of 15 nanometers, deep into the subwavelength regime. We observe strong disorder-induced reflections that show that the interplay of Localization and evanescence can lead to a substantial decrease in transmission, or the opposite feature of enhanced transmission. This deep-subwavelength Anderson Localization exhibits extreme sensitivity: Varying the thickness of a single layer by 2 nanometers changes the reflection appreciably. This sensitivity, approaching the atomic scale, holds the promise of extreme subwavelength sensing.

  • Anderson Localization of light in spectrally-tailored disordered potentials
    2017 Conference on Lasers and Electro-Optics (CLEO), 2017
    Co-Authors: Alex Dikopoltsev, Hanan Herzig Sheinfux, Mordechai Segev
    Abstract:

    We demonstrate, against current knowledge, that Anderson Localization can occur for wavepackets outside the spectral extent of the disordered potential, mediated by second order transitions.

  • Anderson Localization of light
    Nature Photonics, 2013
    Co-Authors: Mordechai Segev, Yaron Silberberg, Demetrios N. Christodoulides
    Abstract:

    The Anderson Localization of light within disordered media has become a topic of great interest in recent years. Here the characterization of the effect and its related phenomena are reviewed, with a discussion on the role that nonlinearity and quantum correlated photons can play.

  • Anderson Localization of light
    Nature Photonics, 2013
    Co-Authors: Mordechai Segev, Yaron Silberberg, Demetrios N. Christodoulides
    Abstract:

    Over the past decade, the Anderson Localization of light and a wide variety of associated phenomena have come to the forefront of research. Numerous investigations have been made into the underlying physics of how disorder affects transport in a crystalline lattice incorporating disorder. The physics involved relies on the analogy between the paraxial equation for electromagnetic waves and the Schrödinger equation describing quantum phenomena. Experiments have revealed how wavefunctions evolve during the Localization process, and have led to discoveries of new physics that are universal to wave systems incorporating disorder. This Review summarizes the phenomena associated with the transverse Localization of light, with an emphasis on the history, new ideas and future exploration of the field.

  • Super-diffusion in optical realizations of Anderson Localization
    New Journal of Physics, 2012
    Co-Authors: Yevgeny Krivolapov, Shmuel Fishman, Mordechai Segev, Liad Levi, Michael Wilkinson
    Abstract:

    We discuss the dynamics of particles in one dimension in potentials that are random in both space and time. The results are applied to recent optics experiments on Anderson Localization, in which the transverse spreading of a beam is suppressed by random fluctuations in the refractive index. If the refractive index fluctuates along the direction of the paraxial propagation of the beam, the Localization is destroyed. We analyze this broken Localization in terms of the spectral decomposition of the potential. When the potential has a discrete spectrum, the spread is controlled by the overlap of Chirikov resonances in phase space. As the number of Fourier components is increased, the resonances merge into a continuum, which is described by a Fokker–Planck equation. We express the diffusion coefficient in terms of the spectral intensity of the potential. For a general class of potentials that are commonly used in optics, the solutions to the Fokker–Planck equation exhibit anomalous diffusion in phase space, implying that when Anderson Localization is broken by temporal fluctuations of the potential, the result is transport at a rate similar to a ballistic one or even faster. For a class of potentials which arise in some existing realizations of Anderson Localization, atypical behavior is found.

G Modugno - One of the best experts on this subject based on the ideXlab platform.

  • measurement of the mobility edge for 3d Anderson Localization
    Nature Physics, 2015
    Co-Authors: G Semeghini, M Fattori, M Inguscio, M Landini, P Castilho, G Spagnolli, Andreas Trenkwalder, G Modugno
    Abstract:

    The mobility edge characterizes the transition from Localization to diffusion. This key parameter in Anderson Localization was measured for a system of ultracold atoms in a tunable disordered potential created by laser speckles.

  • Anderson Localization in bose einstein condensates
    Reports on Progress in Physics, 2010
    Co-Authors: G Modugno
    Abstract:

    The understanding of disordered quantum systems is still far from being complete, despite many decades of research on a variety of physical systems. In this review we discuss how Bose–Einstein condensates of ultracold atoms in disordered potentials have opened a new window for studying fundamental phenomena related to disorder. In particular, we direct our attention to recent experimental studies on Anderson Localization and on the interplay of disorder and weak interactions. These realize a very promising starting point for a deeper understanding of the complex behaviour of interacting, disordered systems.

  • Anderson Localization of a non interacting bose einstein condensate
    Nature, 2008
    Co-Authors: G Roati, C Derrico, L Fallani, M Fattori, C Fort, M Zaccanti, G Modugno, M Modugno, M Inguscio
    Abstract:

    Anderson Localization of waves in disordered media was originally predicted fifty years ago, in the context of transport of electrons in crystals. The phenomenon is much more general and has been observed in a variety of systems, but never directly for matter waves. The authors use a non-interacting Bose–Einstein condensate of ultracold atoms to study Anderson Localization. The effect is clearly demonstrated through investigations of the transport properties and spatial and momentum distributions. The highly controllable nature of the system may render it useful for investigations of the interplay between disorder and interaction, and to uncover exotic quantum phases. Anderson Localization of waves in disordered media was originally predicted1 fifty years ago, in the context of transport of electrons in crystals2. The phenomenon is much more general3 and has been observed in a variety of systems, including light waves4,5. However, Anderson Localization has not been observed directly for matter waves. Owing to the high degree of control over most of the system parameters (in particular the interaction strength), ultracold atoms offer opportunities for the study of disorder-induced Localization6. Here we use a non-interacting Bose–Einstein condensate to study Anderson Localization. The experiment is performed with a one-dimensional quasi-periodic lattice—a system that features a crossover between extended and exponentially localized states, as in the case of purely random disorder in higher dimensions. Localization is clearly demonstrated through investigations of the transport properties and spatial and momentum distributions. We characterize the crossover, finding that the critical disorder strength scales with the tunnelling energy of the atoms in the lattice. This controllable system may be used to investigate the interplay of disorder and interaction (ref. 7 and references therein), and to explore exotic quantum phases8,9.

Arash Mafi - One of the best experts on this subject based on the ideXlab platform.

  • Disordered Anderson Localization Optical Fibers for Image Transport - A Review
    arXiv: Optics, 2019
    Co-Authors: Arash Mafi, John Ballato, Karl W. Koch, Axel Schülzgen
    Abstract:

    Disordered optical fibers show novel waveguiding properties, enabled by the transverse Anderson Localization of light, and are used for image transport. The strong transverse scattering from the transversely disordered refractive index structure results in transversely confined modes that can freely propagate in the longitudinal direction. In some sense, an Anderson Localization disordered fiber behave like a large-core multimode optical fiber, with the advantage, that most modes are highly localized in the transverse plane, so any point in the cross section of the fiber can be used for localized beam transport. This property has been used for high-quality transportation of intensity patterns and images in these optical fibers. This review covers the basics and the history of the transverse Anderson Localization in disordered optical fibers and captures the recent progress in imaging applications using these optical fibers.

  • Disordered Anderson Localization Optical Fibers for Image Transport—A Review
    Journal of Lightwave Technology, 2019
    Co-Authors: Arash Mafi, John Ballato, Karl W. Koch, Axel Schülzgen
    Abstract:

    Disordered optical fibers show novel waveguiding properties, enabled by the transverse Anderson Localization of light, and are used for image transport. The strong transverse scattering from the transversely disordered refractive index structure results in transversely confined modes that can freely propagate in the longitudinal direction. In some sense, an Anderson Localization disordered fiber behave like a large-core multimode optical fiber, with the advantage that most modes are highly localized in the transverse plane, so any point in the cross section of the fiber can be used for localized beam transport. This property has been used for high-quality transportation of intensity patterns and images in these optical fibers. This review covers the basics and the history of the transverse Anderson Localization in disordered optical fibers and captures the recent progress in imaging applications using these optical fibers.

  • Image Transport through Anderson Localization
    2018 IEEE Photonics Society Summer Topical Meeting Series (SUM), 2018
    Co-Authors: Arash Mafi
    Abstract:

    Anderson Localization has been a subject of intense research for sixty years. It is highly desirable to harness its curious and interesting properties in practical applications. I will survey recent advances in this direction by using this phenomenon for high-quality image transport in optical fibers.

  • A brief overview of the interplay between nonlinearity and transverse Anderson Localization
    arXiv: Optics, 2017
    Co-Authors: Arash Mafi
    Abstract:

    This article presents a brief overview of the interplay between nonlinearity and Anderson Localization of light, primarily in the context of transverse Anderson Localization. The focus is on whether Anderson Localization is preserved, enhanced, weakened, or destroyed in the presence of nonlinearity. Several recent experimental and theoretical results are highlighted and reviewed.

  • transverse Anderson Localization of light a tutorial
    Advances in Optics and Photonics, 2015
    Co-Authors: Arash Mafi
    Abstract:

    This tutorial gives an overview of the transverse Anderson Localization of light in one and two transverse dimensions. A pedagogical approach is followed throughout the presentation, where many aspects of Localization are illustrated by means of a few simple models. The tutorial starts with some basic aspects of random matrix theory and light propagation through and reflection from a random stack of dielectric slabs. Transverse Anderson Localization of light in one- and two-dimensional coupled waveguide arrays is subsequently established and discussed. Recent experimental observations of Localization and image transport in disordered optical fibers are discussed. More advanced topics, such as hyper-transport in longitudinally varying disordered waveguides, the impact of nonlinearity, and propagation of partially coherent and quantum light, are also examined.

Demetrios N. Christodoulides - One of the best experts on this subject based on the ideXlab platform.

  • Anderson Localization of light
    Nature Photonics, 2013
    Co-Authors: Mordechai Segev, Yaron Silberberg, Demetrios N. Christodoulides
    Abstract:

    The Anderson Localization of light within disordered media has become a topic of great interest in recent years. Here the characterization of the effect and its related phenomena are reviewed, with a discussion on the role that nonlinearity and quantum correlated photons can play.

  • Anderson Localization of light
    Nature Photonics, 2013
    Co-Authors: Mordechai Segev, Yaron Silberberg, Demetrios N. Christodoulides
    Abstract:

    Over the past decade, the Anderson Localization of light and a wide variety of associated phenomena have come to the forefront of research. Numerous investigations have been made into the underlying physics of how disorder affects transport in a crystalline lattice incorporating disorder. The physics involved relies on the analogy between the paraxial equation for electromagnetic waves and the Schrödinger equation describing quantum phenomena. Experiments have revealed how wavefunctions evolve during the Localization process, and have led to discoveries of new physics that are universal to wave systems incorporating disorder. This Review summarizes the phenomena associated with the transverse Localization of light, with an emphasis on the history, new ideas and future exploration of the field.

  • Anderson Localization and coLocalization of spatially entangled photons
    Physical Review A, 2012
    Co-Authors: Ayman F Abouraddy, Demetrios N. Christodoulides, Giovanni Di Giuseppe, Bahaa E A Saleh
    Abstract:

    We explore the propagation of light in a two-photon state in disordered optical systems that induce Anderson Localization. We show that entangled-photon pairs demonstrate a surprising behavior that we call Anderson coLocalization: While neither photon exhibits Anderson Localization, the spatial correlations of the pair remain intact. Furthermore, we show that entangled-photon pairs colocalize faster than classical light localizes in the same system. We also explore the propagation of anticorrelated and partially entangled photon pairs in such systems. The results are developed using a linear systems theory that extends the scope of quantum imaging to incorporate disordered systems.

  • Enhanced optical Anderson Localization effects in modulated Bloch lattices
    EPL, 2012
    Co-Authors: Ramy El-ganainy, Mohammad-ali Miri, Demetrios N. Christodoulides
    Abstract:

    We study Anderson Localization dynamics in periodically modulated optical Bloch arrays. Using an effective model, we show that, in such arrangements, even a weak disorder may play an important role and can lead to enhanced Anderson Localization effects.

  • quantum correlations in two particle Anderson Localization
    Physical Review Letters, 2010
    Co-Authors: Yoav Lahini, Demetrios N. Christodoulides, Yaron Bromberg, Yaron Silberberg
    Abstract:

    We predict quantum correlations between noninteracting particles evolving simultaneously in a disordered medium. While the particle density follows the single-particle dynamics and exhibits Anderson Localization, the two-particle correlation develops unique features that depend on the quantum statistics of the particles and their initial separation. On short time scales, the Localization of one particle becomes dependent on whether or not the other particle is localized. On long time scales, the localized particles show oscillatory correlations within the Localization length. These effects can be observed in Anderson Localization of nonclassical light and ultracold atoms.

Paolo Mataloni - One of the best experts on this subject based on the ideXlab platform.