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We consider Schr\"odinger operators in $\ell^2(\Z)$ whose potentials are obtained by randomly concatenating words from an underlying set $\mathcal{W}$ according to some probability measure $\nu$ on $\mathcal{W}$. Our assumptions allow us to…

Mathematical Physics · Physics 2014-12-31 David Damanik , Robert Sims , Günter Stolz

We investigate the influence of extended scatterers on the finite temperature and finite frequency microwave conductivity of d-wave superconductors. For this purpose we generalize a previous treatment by Durst and Lee, which is based on a…

Superconductivity · Physics 2016-08-31 Tamara S. Nunner , P. J. Hirschfeld

We study the localization phenomena in a one-dimensional lattice system with a uniformly moving disordered potential. At a low moving velocity, we find a sliding localized phase in which the initially localized matter wave adiabatically…

Quantum Gases · Physics 2023-07-06 Chenyue Guo , Zi Cai

Received signal strength based device-free localization has attracted considerable attention in the research society over the past years to locate and track people who are not carrying any electronic device. Typically, the person is…

Networking and Internet Architecture · Computer Science 2014-08-20 Ossi Kaltiokallio , Hüseyin Yiğitler , Riku Jäntti

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

We study the localization of classical waves in weakly scattering 2D systems with anisotropic disorder. The analysis is based on a perturbative path-integral technique combined with a spectral filtering that accounts for the first-order…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Samelsohn , Valentin Freilikher

Optical near fields are at the heart of various applications in sensing and imaging. We investigate dipole scattering as a parameter estimation problem and show that optical near-fields carry more information about the location and the…

Quantum Physics · Physics 2024-06-18 Lukas Kienesberger , Thomas Juffmann , Stefan Nimmrichter

We analyze the effects of spatially extended periodic forcing on the dynamics of one-dimensional excitation waves. Entrainment of unstable primary waves has been studied numerically for different amplitudes and frequencies of additional…

Chaotic Dynamics · Physics 2011-06-03 Joseph M. Starobin , Vivek Varadarajan

The scale invariant properties of wave functions in finite samples of one dimensional random systems with correlated disorder are analyzed. The random dimer model and its generalizations are considered and the wave functions are compared.…

Disordered Systems and Neural Networks · Physics 2009-10-30 Imre Varga , Janos Pipek

We conduct a numerical investigation into wave propagation and localization in one-dimensional lattices subject to nonlinear disorder, focusing on cases with fixed input conditions. Utilizing a discrete nonlinear Schr\"odinger equation with…

Disordered Systems and Neural Networks · Physics 2024-08-30 Ba Phi Nguyen , Kihong Kim

We study two interacting particles in a random potential chain by means of the transfer matrix method. The dependence of the two-particle localization length $\lambda_2$ on disorder and interaction strength is investigated. Our results…

Disordered Systems and Neural Networks · Physics 2008-02-03 Rudolf A. R"omer , Michael Schreiber

The equilibration length between spin-polarized edge states in the Quantum Hall regime is measured as a function of a gate voltage applied to an electrode on top of the edge channels. Reproducible fluctuations in the coupling are observed…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Acremann , T. Heinzel , K. Ensslin E. Gini , H. Melchior , M. Holland

The weak localization correction and the mesoscopic fluctuations of the polarizability and the capacitance of a small disordered sample are studied systematically in 2D and 3D geometries. While the grand canonical ensemble calculation gives…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ya. M. Blanter , A. D. Mirlin

Pinching-antenna systems have emerged as a promising flexible-antenna architecture for next-generation wireless networks, enabling enhanced adaptability and user-centric connectivity through antenna repositioning along waveguides. However,…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Yanqing Xu , Zhiguo Ding , Robert Schober , Tsung-Hui Chang

We present numerical and analytical results for the reflection and transmission properties of matter wave solitons impinging on localized scattering potentials in one spatial dimension. Our mean field analysis identifies regimes where the…

Quantum Gases · Physics 2012-10-22 Sidse Damgaard Hansen , Nicolai Nygaard , Klaus Mølmer

We investigate numerically the effect of long-range interaction on the transverse localization of light. To this end, nonlinear zigzag optical waveguide lattices are applied, which allows precise tuning of the second-order coupling. We find…

Optics · Physics 2013-09-13 M. Golshani , A. R. Bahrampour , A. Langari , A. Szameit

We study numerically interaction of spatially localized modes in strongly scattering two-dimensional media. We move eigenvalues in the complex plane by changing gradually the index of a single scatterer. When spatial and spectral overlap is…

Optics · Physics 2016-11-30 Laurent Labonté , Christian Vanneste , Patrick Sebbah

It is shown that the local density of states (LDOS), measured in an Scanning Tunneling Microscopy (STM) experiment, at a single tip position contains oscillations as a function of Energy, due to quasiparticle interference, which is related…

Superconductivity · Physics 2013-05-29 Sumiran Pujari , C. L. Henley

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

Acoustic propagation and scattering in water containing many parallel air-filled cylinders is studied. Two situations are considered and compared: (1) wave propagating through the array of cylinders, imitating a traditional experimental…

Disordered Systems and Neural Networks · Physics 2016-08-31 Yu-Yu Chen , Zhen Ye
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