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We study theoretically the competition between directional asymmetric coupling and disorder in a one-dimensional array of quantum emitters chirally coupled through a waveguide mode. Our calculation reveals highly nontrivial phase diagram…

Disordered Systems and Neural Networks · Physics 2022-10-11 G. Fedorovich , D. Kornovan , A. Poddubny , M. Petrov

We analyse the single-mode transmission of microwaves in a guide with internal random structure. The waveguide contains scatterers characterised by random heights and positions, corresponding to compositional and structural disorder. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 O. Dietz , U. Kuhl , J. C. Hernández-Herrejón , L. Tessieri

The interplay between order and disorder in photonic lattices opens up a wide range of novel optical scattering mechanisms, resonances, and applications that can be obscured by typical ordered design approaches to photonics. Striking…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 J. P. Vasco , S. Hughes

We introduce a theory to describe disorder-induced scattering in photonic crystal waveguides, specifically addressing the influence of local field effects and scattering within high-index-contrast perturbations. Local field effects are…

Mesoscale and Nanoscale Physics · Physics 2012-01-13 M Patterson , S. Hughes

Co-existence and interplay between mesoscopic light dynamics with singular optics in spatially random but temporally coherent disordered waveguide lattices is reported. Two CW light beams of 1.55 micron operating wavelength are launched as…

Optics · Physics 2018-05-23 Somnath Ghosh

Periodic and disordered media are known to possess different transport properties, either classically or quantum-mechanically. This has been exhibited by effects such as Anderson localization in systems with disorder and the existence of…

Disordered Systems and Neural Networks · Physics 2013-02-26 E. Sadurni , J. A. Mendez-Bermudez

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in…

Chaotic Dynamics · Physics 2015-10-06 Sergej Flach

We consider the phenomenon of weak localization of a short wave pulse in a quasi-1D disordered waveguide. We show that the long-time decay of the average transmission coefficient is not purely exponential, in contradiction with predictions…

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

In this work, we investigated the spatial evolution of optical power in a closed-form optical waveguide configuration consisting of six passive waveguides and each of the waveguides exhibits equal strength of Kerr nonlinearity. We…

Optics · Physics 2024-07-30 J. P. Deka

The influence of disorder on the transmission through periodic waveguides is studied. Using a canonical form of the transfer matrix we investigate dependence of the Lyapunov exponent $\gamma$ on the frequency $\nu$ and magnitude of the…

Mathematical Physics · Physics 2019-05-30 Yuri A. Godin , Stanislav Molchanov , Boris Vainberg

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

We investigate the effects of disorder on a system that in the clean limit is a pair density wave (PDW) superconductor. The charge order of the clean PDW is inevitably lost (via Imry-Ma), but the fate of the superconducting order is less…

Strongly Correlated Electrons · Physics 2025-09-26 Julian May-Mann , Akshat Pandey , Steven A. Kivelson

We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichlet boundary conditions at its border. We prove that, when the…

Mathematical Physics · Physics 2016-07-20 Paolo Amore , Francisco M. Fernandez , Christoph P. Hofmann

We systematically investigate the properties of the quenched disorder potential in an atomic waveguide, and study its effects to the dynamics of condensate in the strong disorder region. We show that even very small wire shape fluctuations…

Other Condensed Matter · Physics 2007-05-23 Daw-Wei Wang

We investigate numerically and experimentally the influence of coupling disorder on the self-trapping dynamics in nonlinear one-dimensional optical waveguide arrays. The existence of a lower and upper bound of the effective average…

Pattern Formation and Solitons · Physics 2013-05-15 U. Naether , M. Heinrich , Y. Lahini , S. Nolte , R. A. Vicencio , M. I. Molina , A. Szameit

Wave localization induced by spatial disorder is ubiquitous in physics. Here, we study the temporal analog of such phenomenon on water waves. Our time disordered media consists in a collection of temporal interfaces achieved through…

Disordered Systems and Neural Networks · Physics 2021-02-16 Benjamin Apffel , Sander Wildeman , Antonin Eddi , Emmanuel Fort

We demonstrate that a weak disorder in atomic positions introduces spatially localized optical modes in a dense three-dimensional ensemble of immobile two-level atoms arranged in a diamond lattice and coupled by the electromagnetic field.…

Disordered Systems and Neural Networks · Physics 2020-10-21 S. E. Skipetrov

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transitions, the quantum Hall effect, light propagation…

Chaotic Dynamics · Physics 2015-12-07 Sergej Flach

Electronic matter waves traveling through the weak and smoothly varying disorder potential of a semi-conductor show branching behavior instead of a smooth spreading of flow. By transferring this phenomenon to optics, we show how the…

We study the diffusive and localization properties of wavepackets in disordered wires in a magnetic field. In contrast to a recent supersymmetry approach our numerical results show that the decay rate of the steady state changes {\em…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Matthias Weiss , Tsampikos Kottos , Theo Geisel