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Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators…

Statistical Mechanics · Physics 2009-11-07 A. Carpio , L. L. Bonilla , A. Luzon

In the collective photon emission from atomic clouds both the atomic transition frequency and the decay rate are modified compared to a single isolated atom, leading to the effects of superradiance and subradiance. In this article, we…

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 implement the effects of disorder on a holographic p-wave superconductor by introducing a random chemical potential which defines the local energy of the charge carriers. Since there are various possibilities for the orientation of the…

High Energy Physics - Theory · Physics 2015-08-06 Daniel Arean , Arya Farahi , Leopoldo A. Pando Zayas , Ignacio Salazar Landea , Antonello Scardicchio

We present a framework to investigate the collective properties of atomic lattices in one, two, and three dimensions. We analyze the single-photon band structure and associated atomic decay rates, revealing a fundamental dependence on…

Quantum Physics · Physics 2026-01-01 Wenxuan Xie , John C. Schotland

A new type of delocalization induced by coherent harmonic perturbations in one-dimensional Anderson-localized disordered systems is investigated. With only a few $M$ frequencies a normal diffusion is realized, but the transition to…

Disordered Systems and Neural Networks · Physics 2021-04-14 Hiroaki S. Yamada , Kensuke S. Ikeda

We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson - nonlinear…

Optics · Physics 2015-06-03 M. I. Molina , N. Lazarides , G. P. Tsironis

Using a non-Hermitian Hamiltonian approach to open systems, we study the interplay of disorder and superradiance in a one- and three-dimensional Anderson model. Analyzing the complex eigenvalues of the non-Hermitian Hamiltonian, a…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 Alberto Biella

In one dimension, any disorder is traditionally believed to localize all states. We show that this paradigm breaks down under hyperuniform disorder, which suppresses long-wavelength fluctuations and interpolates between random and periodic…

Disordered Systems and Neural Networks · Physics 2025-09-30 Junmo Jeon , Harukuni Ikeda , Shiro Sakai

The presence of superradiance and subradiance in microscopic and mean-field approaches to light scattering in atomic media is investigated. We show that these phenomena are present in both descriptions, with only minor quantitative…

Quantum Gases · Physics 2018-07-25 Florent Cottier , Robin Kaiser , Romain Bachelard

Collective coupling between dipoles can dramatically modify the optical response of a medium. Such effects depend strongly on the geometry of the medium and the polarization of the light. Using a classical coupled dipole model, here we…

Atomic Physics · Physics 2016-10-26 R. J. Bettles , S. A. Gardiner , C. S. Adams

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

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

Optics · Physics 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

Chaotic Dynamics · Physics 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

We present an analytical theory for the most subradiant modes in a finite one-dimensional emitter array coupled to either an ideal or a nonideal waveguide. Using an effective non-Hermitian Hamiltonian together with a Bragg-edge…

Quantum Physics · Physics 2026-04-07 Xin Wang , Junjun He , Zeyang Liao

We analyze the driven-dissipative dynamics of subwavelength periodic atomic arrays in free space, where atoms interact via light-induced dipole-dipole interactions. We find that depending on the system parameters, the underlying mean-field…

Quantum Physics · Physics 2024-06-28 Victoria Zhang , Stefan Ostermann , Oriol Rubies-Bigorda , Susanne F. Yelin

Disorder can profoundly influence synchronization in networks of nonlinear oscillators, sometimes enhancing coherence through external tuning. In semiconductor lasers, however, achieving high-quality steady-state synchronization is desired,…

Optics · Physics 2026-02-03 Li-Li Ye , Nathan Vigne , Fan-Yi Lin , Hui Cao , Ying-Cheng Lai

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

Optics · Physics 2012-08-23 D. Molinari , A. Fratalocchi

We propose a set of subradiant states which can be prepared and detected in a one-dimensional optical lattice. We find that the decay rates are highly dependent on the spatial phases imprinted on the atomic chain, which gives systematic…

Quantum Physics · Physics 2016-07-06 H. H. Jen , M. -S. Chang , Y. -C. Chen

The recoil of atoms in arrays due to the emission or absorption of photons is studied for sub-wavelength interatomic spacing. The atoms in the array interact with each other through collective dipole-dipole interactions and with the…

Quantum Physics · Physics 2021-05-18 Deepak A. Suresh , F. Robicheaux
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