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We prove Anderson localization in a disordered photonic crystal waveguide by measuring the ensemble-averaged localization length which is controlled by the dispersion of the photonic crystal waveguide. In such structures, the localization…

Optics · Physics 2015-05-18 P. D. Garcia , S. Smolka , S. Stobbe , P. Lodahl

This work extends the applications of Anderson-type Hamiltonians to include transport characterized by anomalous diffusion. Herein, we investigate the transport properties of a one-dimensional disordered system that employs the discrete…

Mathematical Physics · Physics 2020-03-06 J. L. Padgett , E. G. Kostadinova , C. D. Liaw , K. Busse , L. S. Matthews , T. W. Hyde

We study the 1:1 resonance for perturbed Hamiltonian systems with small dissipative and energy injection terms. These perturbations of the 1:1 resonance exhibit dissipation induced instabilities. This mechanism allow us to show that a…

Chaotic Dynamics · Physics 2007-05-23 Marcel G. Clerc , Jerrold E. Marsden

We demonstrate the existence of stable three dimensional dissipative localized structures in the output of a laser coupled to a distant saturable absorber. These phase invariant light bullets are individually addressable and can be…

Optics · Physics 2016-02-03 J. Javaloyes

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…

Quantum Gases · Physics 2022-12-13 Sriganapathy Raghav , Barun Halder , Pradosh Basu , Utpal Roy

When light waves propagate through disordered photonic lattices, they can eventually become localized due to multiple scattering effects. Here we show experimentally that while the evolution and localization of the photon density…

Disordered Systems and Neural Networks · Physics 2015-05-27 Y. Lahini , Y. Bromberg , Y. Shechtman , A. Szameit , D. N. Christodoulides , R. Morandotti , Y. Silberberg

The inverse scattering transform is developed to solve the Maxwell-Bloch system of equations that describes two-level systems with inhomogeneous broadening, in the case of optical pulses that do not vanish at infinity in the future. The…

Exactly Solvable and Integrable Systems · Physics 2024-11-12 Asela Abeya , Gino Biondini , Gregor Kovačič , Barbara Prinari

We use dynamic coherent backscattering to study one of the Anderson mobility gaps in the vibrational spectrum of strongly disordered three-dimensional mesoglasses. Comparison of experimental results with the self-consistent theory of…

Disordered Systems and Neural Networks · Physics 2016-05-18 L. A. Cobus , S. E. Skipetrov , A. Aubry , B. A. van Tiggelen , A. Derode , J. H. Page

We discuss here in detail a new analytical random walk approach to calculating the phase-diagram for spatially extended systems with multiplicative noise. We use the Anderson localization problem as an example. The transition from…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. N. Kuzovkov , W. von Niessen

We investigate laser-driven electron dynamics in solids on the atomic scale and in real space within Floquet formalism, and develop a method based on subcycle-resolved x-ray-optical wave mixing to reconstruct those dynamics. We analyze how…

Optics · Physics 2020-12-21 Daria Popova-Gorelova , Robin Santra

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

We demonstrate experimentally that structural perturbations imposed on highly-dispersive photonic crystal-based waveguides give rise to spectral features that bear signatures of Anderson localization. Sharp resonances with the effective Qs…

Optics · Physics 2009-11-13 Juraj Topolancik , Rob Ilic , Frank Vollmer

Disorder in moire superlattices simultaneously degrades flat-band localization and induces Anderson localization, yet how these two regimes interact has remained unclear. Here, we introduce a combined framework linking localization-length…

Disordered Systems and Neural Networks · Physics 2026-04-23 Qian Liu , Xiaoshuang Xia , Junjie Wang , Peilong Hong , Lei Xu , Lujun Huang , Daohong Song , Yi Liang

Diffusion models have recently achieved success in solving Bayesian inverse problems with learned data priors. Current methods build on top of the diffusion sampling process, where each denoising step makes small modifications to samples…

Machine Learning · Computer Science 2025-08-19 Bingliang Zhang , Wenda Chu , Julius Berner , Chenlin Meng , Anima Anandkumar , Yang Song

We develop a novel approach to the Anderson localisation problem in a $d$-dimensional disordered sample of dimension $L\times M^{d-1}$. Attaching a perfect lead with the cross-section $M^{d-1}$ to one side of the sample, we derive evolution…

Mesoscale and Nanoscale Physics · Physics 2018-08-17 A. Ossipov

Disorder can fundamentally modify the transport properties of a system. A striking example is Anderson localization, suppressing transport due to destructive interference of propagation paths. In inhomogeneous many-body systems, not all…

Magnetic-free nonreciprocal optical devices that can prevent backscattering of signals are essential for integrated optical information processing. The achieved nonreciprocal behaviors mostly rely on various dispersive effects in optical…

Recent interest in structure solution and refinement using electron diffraction (ED) has been fuelled by its inherent advantages when applied to crystals of sub-micron size, as well as a better sensitivity to light elements. Currently, data…

Computational Physics · Physics 2022-08-23 Anton Cleverley , Richard Beanland

We present a semi-phenomenological treatment of light transmission through and its reflection from a ferrofluid, which we regard as a magnetically tunable system of dense random dielectric scatterers with weak dissipation. Partial spatial…

We present the eigenmodal analysis techniques enhanced towards calculations of optical and non-interacting Bose-Einstein condensate (BEC) modes formed by random potentials and localized by Anderson effect. The results are compared with the…

Quantum Gases · Physics 2019-03-04 Guanwen Ying , Guennadi Kouzaev