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Anderson localization is a striking phenomenon wherein transport of light is arrested due to the formation of disorder-induced resonances. Hitherto, Anderson localization has been demonstrated separately in two limits of disorder, namely,…

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…

Optics · Physics 2010-04-22 Clinton Thompson , Gautam Vemuri , G. S. Agarwal

Based on a selfconsistent theory of localization we study the electron transport properties of a disordered system in the framework of the Anderson model on a Bethe lattice. In the calculation of the dc conductivity we separately discuss…

Strongly Correlated Electrons · Physics 2009-11-10 A. Alvermann , F. X. Bronold , H. Fehske

We consider the effect of weak disorder on eigenstates in a special class of tight-binding models. Models in this class have short-range hopping on periodic lattices; their defining feature is that the clean systems have some energy bands…

Disordered Systems and Neural Networks · Physics 2010-10-04 J. T. Chalker , T. S. Pickles , Pragya Shukla

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

It is well known that Anderson transition is a disorder-induced metal-insulator transition.Contrary to this conventional wisdom, some investigations have shown that disorders could destroy the phase coherence of localized modes in…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Haiteng Wang , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-body systems and essentially unavoidable in solid state materials. Often, such random disorder is viewed purely negatively as it is believed to…

Strongly Correlated Electrons · Physics 2019-03-21 Thomas Vojta

Quantum information transfer is an important part of quantum information processing. Several proposals for quantum information transfer along linear arrays of nearest-neighbor coupled qubits or spins were made recently. Perfect transfer was…

Quantum Physics · Physics 2007-05-23 Peter Karbach , Joachim Stolze

We study Anderson Localization in two dimensional (2D) disordered spin-orbit systems described by the Gaussian symplectic ensemble using momentum-space signatures such as the coherent backscattering (CBS) anti-peak, and the coherent forward…

Disordered Systems and Neural Networks · Physics 2023-01-19 Ehsan Arabahmadi , Daniel Schumayer , Benoit Gremaud , Christian Miniatura , David A. W. Hutchinson

We show that Anderson localization in quasi-one dimensional conductors with ballistic electron dynamics, such as an array of ballistic chaotic cavities connected via ballistic contacts, can be understood in terms of classical electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Piet W. Brouwer , Alexander Altland

At low temperature T, a significant difference between the behavior of crystals on the one hand and disordered solids on the other is seen: sufficiently strong disorder can give rise to a transition of the transport properties from…

Disordered Systems and Neural Networks · Physics 2018-03-21 Rudolf A Roemer , Michael Schreiber

Using a global optimization algorithm we obtain spin chains with site-dependent exchange coefficients which allow almost perfect quantum state transfer between the extremes of the chains without any further time-dependent external control.…

Quantum Physics · Physics 2022-10-07 Pablo Serra , Alejandro Ferrón , Omar Osenda

Motivated by the link between Anderson localisation on high-dimensional graphs and many-body localisation, we study the effect of periodic driving on Anderson localisation on random trees. The time dependence is eliminated in favour of an…

Disordered Systems and Neural Networks · Physics 2021-03-31 Sthitadhi Roy , Roderich Moessner , Achilleas Lazarides

We present a review of theoretical and experimental works on the problem of mutual interplay of Anderson localization and superconductivity in strongly disordered systems. We start with brief discussion of modern aspects of localization…

Disordered Systems and Neural Networks · Physics 2008-02-03 M. V. Sadovskii

Information theory, rooted in computer science, and many-body physics, have traditionally been studied as (almost) independent fields. Only recently has this paradigm started to shift, with many-body physics being studied and characterized…

Disordered Systems and Neural Networks · Physics 2024-02-20 Noa Feldman , Niv Davidson , Moshe Goldstein

The Anderson model in one dimension is a quantum particle on a discrete chain of sites with nearest-neighbor hopping and random on-site potentials. It is a progenitor of many further models of disordered systems, and it has spurred numerous…

Disordered Systems and Neural Networks · Physics 2025-11-27 Oleg Evnin

Recent years have seen an increasing interest in quantum chaos and related aspects of spatially extended systems, such as spin chains. However, the results are strongly system dependent, generic approaches suggest the presence of many-body…

Statistical Mechanics · Physics 2020-05-26 Petr Braun , Daniel Waltner , Maram Akila , Boris Gutkin , Thomas Guhr

Anderson localization1 in a random system is sensitive to a distance dependence of the excitation transfer amplitude V(r). If V(r) decreases with the distance r slower than 1/r^d in a d-dimensional system then all excitations are…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander L. Burin

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

We investigate Anderson localization of light as occurring in ultra-short excitations. A theory based on time dependent coupled-mode equations predicts universal features in the spectrum of the transmitted pulse. In particular, the process…

Optics · Physics 2010-03-15 Claudio Conti , Andrea Fratalocchi , Silvia Gentilini