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Defects in the atomic lattice of solids are sometimes desired. For example, atomic vacancies, single ones or more elaborated defective structures, can generate localized magnetic moments in a non magnetic crystalline lattice. Increasing…

Superconductivity · Physics 2019-02-21 Pablo D. Esquinazi

A scheme for addressing individual atoms in one- or two-dimensional optical lattices loaded with one atom per site is proposed. The scheme is based on position-dependent atomic population transfer induced by several standing-wave driving…

Quantum Physics · Physics 2007-07-23 Jaeyoon Cho

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…

Quantum Gases · Physics 2010-04-02 Mathias Albert , Patricio Leboeuf

Signatures of strong Anderson localization in the momentum distribution of a cold atom cloud after a quantum quench are studied. We consider a quasi one-dimensional cloud initially prepared in a well defined momentum state, and expanding…

Quantum Gases · Physics 2015-06-17 T. Micklitz , C. A. Müller , A. Altland

Disordered systems provide paradigmatic instances of ergodicity breaking and localization phenomena. Here we explore the dynamics of excitations in a system of Rydberg atoms held in optical tweezers. The finite temperature produces an…

Optomechanical arrays are a promising future platform for studies of transport, many-body dynamics, quantum control and topological effects in systems of coupled photon and phonon modes. We introduce disordered optomechanical arrays,…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Thales Figueiredo Roque , Vittorio Peano , Oleg M. Yevtushenko , Florian Marquardt

We consider the dynamics of rotational excitations placed on a single molecule in spatially disordered 1D, 2D and 3D ensembles of ultracold molecules trapped in optical lattices. The disorder arises from incomplete populations of optical…

Quantum Gases · Physics 2015-07-14 Tianrui Xu , Roman V. Krems

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 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 establish the phenomenon of Anderson localisation for a quantum two-particle system on a d-dimensional lattice with short-range interaction and in presence of an IID external potential with sufficiently regular marginal distribution.

Mathematical Physics · Physics 2009-11-13 Victor Chulaevsky , Yuri Suhov

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

We analyze a method of compressing a cloud of cold atoms by dynamic control of a far off resonance optical lattice. We show that by reducing the lattice spacing either continuously or in discrete steps while cooling the atoms with optical…

Atomic Physics · Physics 2012-07-20 Will Williams , M. Saffman

We study the properties of the spinor wavefunction in a strongly disordered environment on a two-dimensional lattice. By employing a transfer-matrix calculation we find that there is a transition from delocalized to localized states at a…

Disordered Systems and Neural Networks · Physics 2013-10-09 A. Hill , K. Ziegler

We present a self-consistent theory of Anderson localization that yields a simple algorithm to obtain \emph{typical local density of states} as an order parameter, thereby reproducing the essential features of a phase-diagram of…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Dobrosavljevic , A. A. Pastor , Branislav K. Nikolic

The phenomenon of electronic wave localization through disorder was introduced by Anderson in 1958 in the context of electron transport in solids. It remains an important area of fundamental and applied research. Localization of all wave…

Physics Education · Physics 2016-10-12 K. J. Kemp , S. Barker , J. Guthrie , B. Hagood , M. D. Havey

We present a mapping between the Edwards model of disorder describing the motion of a single particle subject to randomly-positioned static scatterers and the Bose polaron problem of a light quantum impurity interacting with a Bose-Einstein…

Quantum Gases · Physics 2022-02-07 Félix Rose , Richard Schmidt

While Anderson is a single-particle wave effect, guaranteeing a single excitation in the system can be challenging. We here tackle this limitation in the context of light localization in three dimensions in disordered cold atom clouds, in…

Atomic Physics · Physics 2023-11-06 Noel Araujo Moreira , Robin Kaiser , Romain Bachelard

We follow the dynamics of nonlinear waves in two-dimensional disordered lattices with tunable nonlinearity. In the absence of nonlinear terms Anderson localization traps the packet in space. For the nonlinear case a destruction of Anderson…

Chaotic Dynamics · Physics 2012-03-15 T. V. Laptyeva , J. D. Bodyfelt , S. Flach

We propose an experimental setup for studying the Anderson localization of light in the continuous transverse spatial degrees of freedom of the photons. This physical phenomenon can be observed in the transverse profile of a paraxial and…

Quantum Physics · Physics 2019-06-11 Rafael M. Gomes , Wesley B. Cardoso , Ardiley T. Avelar

Two aspects of bright matter-wave solitons in weak external potentials are discussed. First, we briefly review recent results on the Anderson localization of an entire soliton in disordered potentials [Sacha et al. PRL 103, 210402 (2009)],…

Quantum Gases · Physics 2011-03-01 Cord A. Mueller