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Related papers: Localization of Matter Waves in 2D-Disordered Opti…

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We show that ballistic transport of optically excited atoms in an atomic vapor provides a nonlocal nonlinearity which stabilizes the propagation of vortex beams and higher order modes in the presence of a self-focusing nonlinearity.…

Optics · Physics 2007-08-06 S. Skupin , M. Saffman , W. Krolikowski

Ultracold atom magnetic field microscopy enables the probing of current flow patterns in planar structures with unprecedented sensitivity. In polycrystalline metal (gold) films we observe long-range correlations forming organized patterns…

Materials Science · Physics 2008-03-08 S. Aigner , L. Della Pietra , Y. Japha , O. Entin-Wohlman , T. David , R. Salem , R. Folman , J. Schmiedmayer

Wave localization is a ubiquitous phenomenon. It refers to situations that transmitted waves in scattering media are trapped in space and remain confined in the vicinity of the initial site until dissipated. Based on a scaling analysis, the…

Soft Condensed Matter · Physics 2007-05-23 Zhen Ye

The diffuse intensity propagating in turbid media is sensitive to the presence of any kind of object embedded in the medium, e.g. obstacles or defects. The long-ranged effects of isolated objects can be described by a stationary diffusion…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. M. Luck , Th. M. Nieuwenhuizen

The properties of the s-wave for a quasi-free particle with position-dependent mass(PDM) have been discussed in details. Differed from the system with constant mass in which the localization of the s-wave for the free quantum particle…

Quantum Physics · Physics 2015-06-26 Guo-Xing JU , Yang Xiang , Zhong-Zhou Ren

We predict the quantum correlations between non-interacting particles evolving simultaneously in a disordered medium. While the particle density follows the single-particle dynamics and exhibits Anderson localization, the two-particle…

Quantum Physics · Physics 2010-12-09 Yoav Lahini , Yaron Bromberg , D. N. Christodoulides , Yaron Silberberg

The scattering of waves by obstacles in a 2D setting is considered, in particular the computation of the scattered field via the collocation or the least-squares methods. In the case of multiple scattering by smooth obstacles, we prove that…

Numerical Analysis · Mathematics 2014-01-15 Gilles Chardon

The effect of disorder on magnonic transport in low-dimensional magnetic materials is studied in the framework of a classical spin model. Numerical investigations give insight into scattering properties of the systems and show the existence…

Mesoscale and Nanoscale Physics · Physics 2015-07-24 Martin Evers , Cord A. Müller , Ulrich Nowak

We study the two-body problem with a spatially modulated interaction potential using a two-channel model, in which the inter-channel coupling is provided by an optical standing wave and its strength modulates periodically in space. As the…

Quantum Gases · Physics 2015-03-17 Ran Qi , Hui Zhai

Quantum mechanics predicts that massive particles exhibit wave-like behavior. Matterwave interferometry has been able to validate such predictions through ground-breaking experiments involving microscopic systems like atoms and molecules.…

Quantum Physics · Physics 2025-10-08 R. Muffato , T. S. Georgescu , M. Carlesso , M. Paternostro , H. Ulbricht

We develop a transport theory to describe the dynamics of (weakly) localized waves in a quasi-1D tube geometry both in reflection and in transmission. We compare our results to recent experiments with microwaves, and to other theories such…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov , B. A. van Tiggelen

We present first analytical results on transport properties of many-mode waveguides with rough surfaces having long-range correlations. We show that propagation of waves through such waveguides reveals a quite unexpected phenomena of a…

Condensed Matter · Physics 2009-11-07 F. M. Izrailev , N. M. Makarov

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

We study interference effects in the dynamics of a spin-$1/2$ particle propagating in two dimensions in a disordered potential and subject to a generalized spin-orbit coupling. With the particle initially in a spin-polarized plane wave…

Quantum Gases · Physics 2026-04-13 Masataka Kakoi , Christian Miniatura , Keith Slevin

We study the 2D-wave equation with a scaling-critical electromagnetic potential. This problem is doubly critical, because of the scaling invariance of the model and the singularities of the potentials, which are not locally integrable. In…

Analysis of PDEs · Mathematics 2020-09-23 Luca Fanelli , Junyong Zhang , Jiqiang Zheng

We study the dynamics of Bose-Einstein condensed atoms in a 1-D optical lattice potential in a regime where the collective (Josephson) tunneling energy is comparable with the on-site interaction energy, and the number of particles per…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. K. Tuchman , W. Li , H. Chien , S. Dettmer , M. A. Kasevich

We present the emergence of coherent two-photon backscattering, a manifestation of weak localization, in multiple scattering of maximally entangled pure and fully mixed two-photon states and examine the effect of entanglement and classical…

Quantum Physics · Physics 2024-01-25 Nooshin M. Estakhri , Theodore B. Norris

We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a scattering body illuminated by an incident plane wave. This study is motivated by recent work on the inverse problem of reconstructing…

Numerical Analysis · Mathematics 2025-03-14 Erik García Neefjes , Stuart C. Hawkins

We experimentally investigate the mix-dimensional scattering occurring when the collisional partners live in different dimensions. We employ a binary mixture of ultracold atoms and exploit a species-selective 1D optical lattice to confine…

Quantum Gases · Physics 2010-04-16 G. Lamporesi , J. Catani , G. Barontini , Y. Nishida , M. Inguscio , F. Minardi

The scattering of bright quantum solitons at barrier potentials in one-dimensional geometries is investigated. Such protocols have been predicted to lead to the creation of nonlocal quantum superpositions. The centre-of-mass motion of these…

Quantum Gases · Physics 2012-08-27 Bettina Gertjerenken , Christoph Weiss