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We investigate the scaling properties of eigenstates of a one-dimensional (1D) Anderson model in the presence of a constant electric field. The states show a transition from exponential to factorial localization. For infinite systems this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matthias Weiss , Tsampikos Kottos , Theo Geisel

We study Anderson localization of ultracold atoms in weak, one-dimensional speckle potentials, using perturbation theory beyond Born approximation. We show the existence of a series of sharp crossovers (effective mobility edges) between…

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

The weak localization correction and the mesoscopic fluctuations of the polarizability and the capacitance of a small disordered sample are studied systematically in 2D and 3D geometries. While the grand canonical ensemble calculation gives…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ya. M. Blanter , A. D. Mirlin

Motivated by previous investigations on the radiative effects of the electric dipoles embedded in structured cavities, localization of electromagnetic waves in two dimensions is studied {\it ab initio} for a system consisting of many…

Disordered Systems and Neural Networks · Physics 2009-11-07 Zhen Ye , Sheng Li , Xin Sub

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

Disordered Systems and Neural Networks · Physics 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

We propose a conceptually new framework to study the onset of Anderson localization in disordered systems. The idea is to expose waves propagating in a random scattering environment to a sequence of short dephasing pulses. The system…

Quantum Gases · Physics 2015-06-22 T. Micklitz , C. A. Müller , A. Altland

We experimentally study the effects of coupling one-dimensional Many-Body Localized (MBL) systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we artifically prepare an initial charge density wave in an…

In this paper we prove Anderson localization for multi-frequency quasi-periodic extended CMV matrices with analytic Verblunsky coefficients in the regime of positive Lyapunov exponents. By constructing a suitable semialgebraic set and…

Spectral Theory · Mathematics 2025-08-07 Bei Zhang , Daxiong Piao

There is ample evidence for magnetic reconnection in the solar system, but it is a nontrivial task to visualize, to determine the proper approaches and frames to study, and in turn to elucidate the physical processes at work in reconnection…

The next generation of ultra high energy cosmic ray experiments will probably detect several dozens of events clustered around the direction towards each of the most powerful extragalactic sources. We develop a method which could make…

Astrophysics · Physics 2009-11-07 Diego Harari , Silvia Mollerach , Esteban Roulet

The Anderson transition on random graphs draws interest through its resemblance to the many-body localization (MBL) transition with similarly debated properties. In this Letter, we construct a unitary Anderson model on Small-World graphs to…

Disordered Systems and Neural Networks · Physics 2025-02-25 Weitao Chen , Ignacio García-Mata , John Martin , Jiangbin Gong , Bertrand Georgeot , Gabriel Lemarié

Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum…

Atomic Physics · Physics 2017-06-07 Krzysztof Giergiel , Krzysztof Sacha

Anderson localization, the absence of diffusion in disordered media, draws its origins from the destructive interference between multiple scattering paths. The localization properties of disordered systems are expected to be dramatically…

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…

Disordered Systems and Neural Networks · Physics 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

The use of quantum entanglement to study condensed matter systems has been flourishing in critical systems and topological phases. Additionally, using real-space entanglement entropies and entanglement spectra one can characterize localized…

Mesoscale and Nanoscale Physics · Physics 2013-12-20 Ian Mondragon-Shem , Mayukh Khan , Taylor L. Hughes

Real materials always contain, to some extent, randomness in the form of defects or irregularities. It is known since the seminal work of Anderson that randomness can drive a metallic phase to an insulating one, and the mechanism…

Magnetic fields have been observed in galaxies, clusters of galaxies and probably in superclusters. While mechanisms exist to generate these in the late universe, it is possible that magnetic fields have existed since very early times. This…

Astrophysics · Physics 2009-12-07 Iain A. Brown

Transport of coherent waves in multiple-scattering media may exhibit fundamental, non intuitive phenomena such as halt of diffusion by disorder called Anderson localization. For electromagnetic waves, this phenomenon was observed only in…

We explore the potential of a static electric field to induce Anderson localization of light in a large three-dimensional (3D) cloud of randomly distributed, immobile atoms with a degenerate ground state (total angular momentum $J_g = 0$)…

Disordered Systems and Neural Networks · Physics 2019-04-04 S. E. Skipetrov , I. M. Sokolov