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Using analytical and numerical methods, it is shown that the momentum distribution of a matter wave packet launched in a random potential exhibits a pronounced coherent backscattering (CBS) peak. By analyzing the momentum distribution, key…

Disordered Systems and Neural Networks · Physics 2012-02-06 Nicolas Cherroret , Tomasz Karpiuk , Cord A. Müller , Benoît Grémaud , Christian Miniatura

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…

Disordered Systems and Neural Networks · Physics 2010-10-08 Giovanni Modugno

For the multi-particle Anderson model with correlated random potential in the continuum, we show under fairly general assumptions on the inter-particle interaction and the random external potential, the Anderson localization which consists…

Mathematical Physics · Physics 2017-03-28 Trésor Ekanga

We study Anderson localization in a generalized discrete time quantum walk - a unitary map related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix which depends on four angles with the meaning of potential and…

Disordered Systems and Neural Networks · Physics 2017-10-25 I. Vakulchyk , M. V. Fistul , P. Qin , S. Flach

A particle in an Anderson-localized system, if launched in any direction, should on average return to its starting point and stay there. Despite the central role played by Anderson localization in the modern understanding of condensed…

In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong…

Disordered Systems and Neural Networks · Physics 2023-07-21 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

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

Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie

Electrons at the Fermi energy may lose their ability to propagate to long distances in certain random media. We use Green functions and solve parquet equations for the non-local electron-hole vertex in high spatial dimensions to describe…

Disordered Systems and Neural Networks · Physics 2025-05-12 Václav Janiš

It is believed that the two-dimensional (2D) Anderson model exhibits localization for any nonzero disorder in the thermodynamic limit and it is also well known that the finite-size effects are considerable in the weak disorder limit. Here…

Disordered Systems and Neural Networks · Physics 2023-02-28 Jan Šuntajs , Tomaž Prosen , Lev Vidmar

Anderson localization of light is a fundamental emergent phenomenon in disordered systems. In arrays of coupled waveguides, it suppresses transport and causes photons to remain localized near the excitation site as coupling disorder…

We use a scattering formalism to derive a condition of strong coupling between a resonant scatterer and an Anderson localized mode for electromagnetic waves in two dimensions. The strong coupling regime is demonstrated based on exact…

Optics · Physics 2015-06-15 Alexandre Cazé , Romain Pierrat , Rémi Carminati

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 study the critical dynamics of matter waves at the 3D Anderson mobility edge in cold-atom disorder quench experiments. General scaling arguments are supported by precision numerics for the spectral function, diffusion coefficient, and…

Quantum Gases · Physics 2016-09-20 Cord A. Müller , Dominique Delande , Boris Shapiro

The interplay between disorder and quantum interference leads to a wide variety of physical phenomena including celebrated Anderson localization -- the complete absence of diffusive transport due to quantum interference between different…

Disordered Systems and Neural Networks · Physics 2025-02-21 Jonathan B. Curtis , Prineha Narang , Victor Galitski

Anderson localization is a general phenomenon that applies to a variety of disordered physical systems. Recently, a novel manifestation of Anderson localization for wave packets launched with a finite average velocity was proposed, the…

Disordered Systems and Neural Networks · Physics 2022-11-08 Flavio Noronha , José A. S. Lourenço , Tommaso Macrì

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…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

It was recently shown that wavepackets with skewed momentum distribution exhibit a boomerang-like dynamics in the Anderson model due to Anderson localization: after an initial ballistic motion, they make a U-turn and eventually come back to…

Disordered Systems and Neural Networks · Physics 2021-06-30 L. Tessieri , Z. Akdeniz , N. Cherroret , D. Delande , P. Vignolo

Anderson localization is a famous wave phenomenon that describes the absence of diffusion of waves in a disordered medium. Here we generalize the landscape theory of Anderson localization to general elliptic operators and complex boundary…

Mathematical Physics · Physics 2022-11-09 Chen Jia , Ziqi Liu , Zhimin Zhang

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…