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We study quantum transport in anisotropic 3D disorder and show that non rotation invariant correlations can induce rich diffusion and localization properties. For instance, structured finite-range correlations can lead to the inversion of…

Disordered Systems and Neural Networks · Physics 2012-09-17 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia

Using a cutoff-free formulation of the coherent transport theory, we show that the interference terms at the origin of localization strongly affect the transport anisotropy. In contrast to the common hypothesis, we then find that the…

Disordered Systems and Neural Networks · Physics 2015-01-20 Marie Piraud , Laurent Sanchez-Palencia , Bart Van Tiggelen

Anderson localization of particles -- the complete halt of wave transport through multiple scattering and phase coherence -- is a paradigmatic manifestation of quantum interference in disordered media. In three dimensions, the scaling…

In a recent experiment [X. Yu et al., arXiv:2602.07654], energy-resolved measurements of an atomic matter wave spreading in a speckle potential enabled the direct observation of the three-dimensional Anderson transition. In this work, we…

We study the transport of classical waves through three-dimensional (3D) anisotropic media close to the Anderson localization transition. Time-, frequency-, and position-resolved ultrasonic measurements are performed on anisotropic…

Disordered Systems and Neural Networks · Physics 2021-01-04 Antton Goïcoechea , Sergey E. Skipetrov , John H. Page

Anderson localization is a universal phenomenon affecting non-interacting quantum particles in disorder. In three spatial dimensions it becomes particularly interesting to study because of the presence of a quantum phase transition from…

We discuss effects of anisotropic scattering in transport properties of ultracold atoms in three-dimensional optical potentials. Within the realm of the first Born approximation, we calculate the self energy, the scattering mean free time,…

Disordered Systems and Neural Networks · Physics 2023-02-16 Afifa Yedjour , Abdelaali Boudjemaa

We numerically study the dynamics of cold atoms in a two-dimensional disordered potential. We consider an anisotropic speckle potential and focus on the classical regime, which is relevant to some recent experiments. First, we study the…

Recent experiments on non-interacting ultra-cold atoms in correlated disorder have yielded conflicting results regarding the so-called mobility edge, i.e. the energy threshold separating Anderson localized from diffusive states. At the same…

Quantum Gases · Physics 2017-05-03 Michael Pasek , Giuliano Orso , Dominique Delande

We realize experimentally a cold atom system equivalent to the 3D Anderson model of disordered solids where the anisotropy can be controlled by adjusting an experimentally accessible parameter. This allows us to study experimentally the…

Disordered Systems and Neural Networks · Physics 2013-06-27 Matthias Lopez , Jean-François Clément , Gabriel Lemarié , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

We consider ultracold atoms in 2D-disordered optical potentials and calculate microscopic quantities characterizing matter wave quantum transport in the non-interacting regime. We derive the diffusion constant as function of all relevant…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. C. Kuhn , C. Miniatura , D. Delande , O. Sigwarth , C. A. Mueller

Single-particle transport in disordered potentials is investigated on scales below the localization length. The dynamics on those scales is concretely analyzed for the 3-dimensional Anderson model with Gaussian on-site disorder. This…

Statistical Mechanics · Physics 2010-11-05 Robin Steinigeweg , Hendrik Niemeyer , Jochen Gemmer

We study the Anderson localization of atomic gases exposed to three-dimensional optical speckles by analyzing the statistics of the energy-level spacings. This method allows us to consider realistic models of the speckle patterns, taking…

Quantum Gases · Physics 2015-06-17 Elisa Fratini , Sebastiano Pilati

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…

The study of energy transport properties in heterogeneous materials has attracted scientific interest for more than a century, and it continues to offer fundamental and rich questions. One of the unanswered challenges is to extend Anderson…

We report a study of three-dimensional (3D) localization of ultracold atoms suspended against gravity, and released in a 3D optical disordered potential with short correlation lengths in all directions. We observe density profiles composed…

We study the strong localization of atomic matter waves in a disordered potential created by atoms pinned at the nodes of a lattice, for both three-dimensional (3D) and two-dimensional (2D) systems. The localization length of the matter…

Quantum Gases · Physics 2015-05-19 Mauro Antezza , Yvan Castin , David Hutchinson

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

Optics · Physics 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

We theoretically study the Anderson localization of a matter wave packet in a one-dimensional disordered potential. We develop an analytical model which includes the initial phase-space density of the matter wave and the spectral broadening…

Disordered Systems and Neural Networks · Physics 2011-03-08 Marie Piraud , Pierre Lugan , Philippe Bouyer , Alain Aspect , Laurent Sanchez-Palencia

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…

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