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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

We study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schr\"odinger lattice with disorder. We demonstrate that above a certain critical strength of nonlinearity the Anderson…

Disordered Systems and Neural Networks · Physics 2008-03-12 A. S. Pikovsky , D. L. Shepelyansky

We studied lasing modes in a disordered photonic crystal. The scaling of the lasing threshold with the system size depends on the strength of disorder. For sufficiently large size, the minimum of the lasing threshold occurs at some finite…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexey Yamilov , Hui Cao

Anderson localization was discovered 50 years ago to describe the propagation of electrons in the presence of disorder. The main prediction back then, was the existence of disorder induced localized states, which do not conduct electricity.…

Disordered Systems and Neural Networks · Physics 2015-05-13 M. Hilke

We investigate finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a subset of states exhibits variational scarring with…

Quantum Physics · Physics 2026-05-28 Fartash Chalangari , Anant Vijay Varma , Joonas Keski-Rahkonen , Esa Räsänen

We have developed an approach allowing us to resolve the problem of non-conventional Anderson localization emerging in bilayered periodic-on-average structures with alternating layers of right-handed and left-handed materials. Recently, it…

Disordered Systems and Neural Networks · Physics 2012-05-15 E. J. Torres-Herrera , F. M. Izrailev , N. M. Makarov

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

Disordered Systems and Neural Networks · Physics 2019-09-11 Seulong Kim , Kihong Kim

We discovered novel Anderson localization behaviors of pseudospin systems in a 1D disordered potential. For a pseudospin-1 system, due to the absence of backscattering under normal incidence and the presence of a conical band structure, the…

Disordered Systems and Neural Networks · Physics 2017-04-20 Anan Fang , Zhao-Qing Zhang , Steven G. Louie , C. T. Chan

We investigate the gradual emergence of the disorder-related phenomena in intermediate regimes between a deterministic periodic Bragg grating and a fully random grating and highlight two critical properties of partially disordered Bragg…

Optics · Physics 2023-07-19 Arash Mafi

We present an experimental study of the effects of temporal modulation of the pump intensity on a random laser. The nanosecond pump pulses exhibit rapid intensity fluctuations which differ from pulse to pulse. Specific temporal profiles of…

Optics · Physics 2019-01-10 Stefan Bittner , Sebastian Knitter , Seng Fatt Liew , Hui Cao

Light propagation through 1D disordered structures composed of alternating layers, with random thicknesses, of air and a dispersive metamaterial is theoretically investigated. Both normal and oblique incidences are considered. By means of…

Disordered Systems and Neural Networks · Physics 2015-05-19 D. Mogilevtsev , F. A. Pinheiro , R. R. dos Santos , S. B. Cavalcanti , L. E. Oliveira

We unveil the relation between the linear Anderson localisation process and nonlinear modulation instability. Anderson localised modes are formed in certain temporal intervals due to the random background noise. Such localised modes seed…

Optics · Physics 2021-04-16 Mohammed F. Saleh , Claudio Conti , Fabio Biancalana

We report the existence of a localization-delocalization transition in the classical plasma modes of a one dimensional Wigner Crystal with a white noise potential environment at T=0. Finite size scaling analysis reveals a divergence of the…

Disordered Systems and Neural Networks · Physics 2008-06-02 Shimul Akhanjee , Joseph Rudnick

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 propose and experimentally demonstrate parallel LiDAR using random intensity fluctuations from a highly multimode laser. We optimize a degenerate cavity to have many spatial modes lasing simultaneously with different frequencies. Their…

Optics · Physics 2023-03-27 Kyungduk Kim , Yaniv Eliezer , Olivier Spitz , Hui Cao

We study the spatial structure of wave functions with exceptionally high local amplitudes in the Anderson model of localisation. By means of exact diagonalisations of finite systems, we obtain and analyse images of these wave functions: we…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Uski , B. Mehlig , M. Schreiber

We analyze the emergence of wiggling temporal localized states in a passively mode-locked Vertical External- Cavity Surface-Emitting Laser composed by a gain chip and a resonant saturable absorber mirror. We show that the wiggling…

Optics · Physics 2021-05-26 Denis Hessel , Svetlana V. Gurevich , Julien Javaloyes

We demonstrate low-threshold random lasing in random amplifying layered medium via photon localization. Lasing is facilitated by resonant excitation of localized modes at the pump laser wavelength, which are peaked deep within the sample…

Optics · Physics 2007-05-23 V. Milner , A. Z. Genack

The distribution of spacings between the lasing frequencies for an ensemble of random lasers in the two-mode regime was computed. The random lasers are implemented as open chaotic cavities filled with an active medium. The spectral…

Mesoscale and Nanoscale Physics · Physics 2007-10-29 Oleg Zaitsev

We study Anderson localization of the classical lattice waves in a chain with mass impurities distributed randomly through a power-law relation $s^{-(1+\alpha)}$ with $ s $ as the distance between two successive impurities and $\alpha>0$.…

Statistical Mechanics · Physics 2015-03-10 Sepideh S. Zakeri , Stefano Lepri , Diederik S. Wiersma