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Anderson localization is studied for two-dimensional Dirac fermions in the presence of strong random scattering. Averaging with respect to the latter leads to a graphical representation of the correlation function with entangled random…

Disordered Systems and Neural Networks · Physics 2014-12-25 K. Ziegler

We present a numerical study of electromagnetic wave transport in disordered quasi-one-dimensional waveguides at terahertz frequencies. Finite element method calculations of terahertz wave propagation within LiNbO$_{3}$ waveguides with…

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show…

Mathematical Physics · Physics 2015-05-13 Guillaume Bal , Alexandre Jollivet

A fundamental quantity in multiple scattering is the transport mean free path the inverse of which describes the scattering strength of a sample. In this paper, we emphasize the importance of an appropriate description of the effective…

Disordered Systems and Neural Networks · Physics 2017-11-02 Geoffroy J. Aubry , Lukas Schertel , Mengdi Chen , Henrik Weyer , Christof M. Aegerter , Sebastian Polarz , Helmut Cölfen , Georg Maret

Motivated by the link between Anderson localisation on high-dimensional graphs and many-body localisation, we study the effect of periodic driving on Anderson localisation on random trees. The time dependence is eliminated in favour of an…

Disordered Systems and Neural Networks · Physics 2021-03-31 Sthitadhi Roy , Roderich Moessner , Achilleas Lazarides

Controlling light propagation across scattering media by wavefront shaping holds great promise for a wide range of communications and imaging applications. However, finding the right wavefront to shape is a challenge when the mapping…

We report on the direct observation of coherent backscattering (CBS) of ultracold atoms, in a quasi-two-dimensional configuration. Launching atoms with a well-defined momentum in a laser speckle disordered potential, we follow the…

In this note we show that, a simple combination of deep results in the theory of random Schr\"odinger operators yields a quantitative estimate of the fact that the localization centers become far apart, as corresponding energies are close…

Mathematical Physics · Physics 2009-11-11 Fumihiko Nakano

We study the propagation and localization of classical waves in one-dimensional disordered structures composed of alternating layers of left- and right-handed materials (mixed stacks) and compare them to the structures composed of different…

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…

The memory effect in disordered systems is a key physical phenomenon that has been employed for optical imaging, metrology, and communication through opaque media. Under the conventional memory effect, when the incident beam is tilted…

Optics · Physics 2021-07-21 Hasan Yılmaz , Matthias Kühmayer , Chia Wei Hsu , Stefan Rotter , Hui Cao

We show that the recently developed self-consistent theory of Anderson localization with a position-dependent diffusion coefficient is in quantitative agreement with the supersymmetry approach up to terms of the order of $1/g_0^2$ (with…

Disordered Systems and Neural Networks · Physics 2010-08-20 Ben Payne , Alexey Yamilov , Sergey E. Skipetrov

We study two-dimensional tensorial elastic wave transport in densely fractured media and document transitions from propagation to diffusion and to localization/delocalization. For large fracture stiffness, waves are propagative at the scale…

Geophysics · Physics 2021-02-04 Qinghua Lei , Didier Sornette

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

Anderson localization is a multiple-scattering phenomenon of linear waves propagating within a disordered medium. Discovered in the late 50s for electrons, it has since been observed experimentally with cold atoms and with classical waves…

Disordered Systems and Neural Networks · Physics 2024-07-10 Guillaume Ricard , Filip Novkoski , Eric Falcon

This paper studies the transport of light for different incidence angles in a strongly disordered optical medium composed by core-shell nanoparticles (TiO2@Silica) suspended in ethanol solution. A decrease of optical conductance and an…

Understanding radiative transfer in random media like micro/nanoporous and particulate materials, allows people to manipulate the scattering and absorption of radiation, as well as opens new possibilities in applications such as imaging…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 B. X. Wang , C. Y. Zhao

A new method of path averaging for waves propagating in a random dilute system of identical scatterers is developed. The scattering matrix of such a system is calculated. The method systematically takes into account repeating scatterings on…

Condensed Matter · Physics 2009-10-30 V. S. Podolsky , A. A. Lisyansky

Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum…

Atomic Physics · Physics 2017-06-07 Krzysztof Giergiel , Krzysztof Sacha

In a heterogeneous medium, the wavefield can be decomposed as an infinite series known as the Born expansion. Each term of the Born expansion corresponds to a scattering order, it is thus theoretically possible to discriminate single and…

Applied Physics · Physics 2022-08-23 Cécile Brütt , Alexandre Aubry , Benoît Gérardin , Arnaud Derode , Claire Prada