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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…

无序系统与神经网络 · 物理学 2010-10-08 Giovanni Modugno

We propose to observe Anderson localization of ultracold atoms in the presence of a random potential made of atoms of another species and trapped at the nodes of an optical lattice, with a filling factor less than unity. Such systems enable…

其他凝聚态物理 · 物理学 2009-11-10 U. Gavish , Y. Castin

In a one-dimensional (1D) disordered potential, quantum interferences leading to Anderson lo-calization are ubiquitous, such that all wave-functions are exponentially localized. Moreover, no phase transition toward delocalization is…

原子物理 · 物理学 2020-04-08 G. Berthet , L. Lavoine , M. Parit , A. Brolis , A. Boissé , T. Bourdel

We consider the phase coherent transport of a quasi one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow identified in [T. Paul et al., Phys. Rev.…

量子气体 · 物理学 2009-09-18 T. Paul , M. Albert , P. Schlagheck , P. Leboeuf , N. Pavloff

The one-dimensional propagation of waves in a bichromatic potential may be modeled by the Aubry-Andr\'e Hamiltonian. The latter presents a delocalization-localization transition, which has been observed in recent experiments using ultracold…

量子气体 · 物理学 2010-04-02 Mathias Albert , Patricio Leboeuf

We study the transport of an interacting Bose--Einstein condensate through a 1D correlated disorder potential. We use for this purpose the truncated Wigner method, which is, as we show, corresponding to the diagonal approximation of a…

量子气体 · 物理学 2016-01-20 Julien Dujardin , Thomas Engl , Peter Schlagheck

The macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich of counter-intuitive…

无序系统与神经网络 · 物理学 2013-07-09 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia

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…

We theoretically investigate the localization of an expanding Bose-Einstein condensate with repulsive atom-atom interactions in a disordered potential. We focus on the regime where the initial inter-atomic interactions dominate over the…

其他凝聚态物理 · 物理学 2008-12-18 Laurent Sanchez-Palencia , David Clément , Pierre Lugan , Philippe Bouyer , Alain Aspect

We propose to use the method introduced by Volchkov et al., based on state dependent disordered ultracold bosons, to address the critical state at the mobility edge of the Anderson localization transition, and to observe its intriguing…

无序系统与神经网络 · 物理学 2018-07-19 Miklós Antal Werner , Eugene Demler , Alain Aspect , Gergely Zaránd

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

无序系统与神经网络 · 物理学 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

We report on the measurement of the spectral functions of noninteracting ultracold atoms in a three-dimensional disordered potential resulting from an optical speckle field. Varying the disorder strength by 2 orders of magnitude, we observe…

We investigate, both experimentally and theoretically, possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials. The dependence of this quantum interference effect on the nonlinear…

无序系统与神经网络 · 物理学 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , W. Ertmer , J. Arlt , K. Sacha , J. Zakrzewski , M. Lewenstein

We numerically study the expansion dynamics of ultracold atoms in a one-dimensional disordered potential in the presence of a weak position measurement of the atoms. We specifically consider this position measurement to be realized by a…

量子气体 · 物理学 2015-06-05 Boris Nowak , Jami J. Kinnunen , Murray J. Holland , Peter Schlagheck

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 Anderson localization of a one-dimensional quantum droplet in a speckle-like potential employing the generalized Gross-Pitaevskii equation. We compute the droplet width, density profiles, diffusion exponent and coefficient, and the…

无序系统与神经网络 · 物理学 2025-12-09 Zohra Mehri , Abdeaali Boudjemaa

We provide an analytical model to fabricate an exponential localization of a Bose-Einstein condensate under bichromatic optical lattice. Such localization is famously known as Anderson localization. The degree of localization is…

量子气体 · 物理学 2022-12-13 Sriganapathy Raghav , Barun Halder , Pradosh Basu , Utpal Roy

Anderson localization was first investigated in the context of electrons in solids. One of the successes was in explaining the puzzle of negative magneto-resistance - as early as the 1940s it had been observed that electron diffusion rates…

量子气体 · 物理学 2012-07-24 J. Towers , S. C. Cormack , D. A. W. Hutchinson

Random scattering of photons in disordered one-dimensional solids gives rise to an exponential suppression of transmission, which is known as Anderson localization. Here, we experimentally study Anderson localization in a superconducting…

Wave propagation in disordered media can be strongly modified by multiple scattering and wave interference. Ultimately the so-called Anderson-localized regime is reached when the waves become strongly confined in space. So far, Anderson…

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