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We experimentally study the effect of enhancement of localization in weak one-dimensional random potentials. Our experimental setup is a single mode waveguide with 100 tuneable scatterers periodically inserted into the waveguide. By…

Disordered Systems and Neural Networks · Physics 2008-04-15 U. Kuhl , F. M. Izrailev , A. A. Krokhin

We introduce a new wave phenomenon, which can be observed in continuum and discrete systems, where a trapped mode exists under certain conditions, namely, the anti-localization of non-stationary linear waves. This is zeroing of the…

Classical Physics · Physics 2025-12-17 Ekaterina V. Shishkina , Serge N. Gavrilov , Yulia A. Mochalova

Two component superlattice film of 2N layers is considered and dimensionally quantised spectrum of phonon-s is found. The problem of localization of phonon-s in the superlattice with random thicknesses of the layers is investigated. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 David G. Sedrakyan , Ara G. Sedrakyan

The discretization of the density matrix is proposed as a nonlinear positive map for systems with continuous variables. This procedure is used to calculate the entanglement between two modes through different criteria, such as Tsallis…

In many instances, the dynamical richness and complexity observed in natural phenomena can be related to stochastic drives influencing their temporal evolution. For example, random noise allied to spatial asymmetries may induce…

Statistical Mechanics · Physics 2023-10-03 K. S. Fa , C. -L. Ho , Y. B. Matos , M. G. E da Luz

We study theoretically spin decoherence and intrinsic spin noise in semiconductor quantum wires caused by an interplay of electron hopping between the localized states and the hyperfine interaction of electron and nuclear spins. At a…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 A. V. Shumilin , E. Ya. Sherman , M. M. Glazov

We investigated how the presence of an additional lattice potential, driven by a harmonic noise process, changes the transition rate from the ground band to the first excited band in a Wannier-Stark system. Alongside numerical simulations,…

Quantum Physics · Physics 2015-03-13 Stephan Burkhardt , Matthias Kraft , Riccardo Mannella , Sandro Wimberger

We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of strength $\epsilon$, we obtain an exact analytical description…

Statistical Mechanics · Physics 2026-02-27 Debraj Das , Andrea Gambassi , Stefano Iubini , Stefano Lepri

We consider the rates of noise-induced switching between the stable states of dissipative dynamical systems with delay and also the rates of noise-induced extinction, where such systems model population dynamics. We study a class of systems…

Statistical Mechanics · Physics 2015-01-27 Ira B. Schwartz , Lora Billings , Thomas W. Carr , Mark Dykman

By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and characterizes a novel phenomenon of intermittent…

Dynamical Systems · Mathematics 2021-05-26 Arno Berger , Hong Qian , Shirou Wang , Yingfei Yi

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti

We study the effect of localisation on the propagation of a pulse through a multi-mode disordered waveguide. The correlator <u(omega1)u*(omega2)> of the transmitted wave amplitude u at two frequencies differing by delta_omega has for large…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. W. J. Beenakker , K. J. H. van Bemmel , P. W. Brouwer

Few studies explored the dynamics of non-classical correlations besides entanglement in open multipartite quantum systems. Here, we address the time-evolution of quantum discord and entanglement in a model of three non-interacting qubits…

Quantum Physics · Physics 2013-04-11 Fabrizio Buscemi , Paolo Bordone

Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict…

Quantum Physics · Physics 2018-06-06 Andre M. C. Souza , Roberto. F. S. Andrade

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

We theoretically investigate the mechanism of two-mode quadrature squeezing in regime of four-wave mixing in a \Lambda-scheme of three-level atoms embedded in a thermal reservoir. We demonstrate that the process of nonlinear transfer of…

Optics · Physics 2017-01-11 Maria Erukhimova , Mikhail Tokman

Using projected entangled-pair states (PEPS) we analyze the localization properties of two-dimensional systems on a square lattice. We compare the dynamics found for three different disorder types: (i) quenched disorder, (ii) sum of two…

Disordered Systems and Neural Networks · Physics 2018-11-13 D. M. Kennes

One crucial factor behind the success of deep learning lies in the implicit bias induced by noise inherent in gradient-based training algorithms. Motivated by empirical observations that training with noisy labels improves model…

Machine Learning · Computer Science 2026-03-12 Tongcheng Zhang , Zhanpeng Zhou , Mingze Wang , Andi Han , Wei Huang , Taiji Suzuki , Junchi Yan

We calculate the effect of two kinds of randomness on the hopping of an excitation through a nearly regular Rydberg gas. We present calculations for how fast the excitation can hop away from its starting position for different dimensional…

Atomic Physics · Physics 2014-06-02 F. Robicheaux , N. M. Gill

The study of dynamical large deviations allows for a characterization of stationary states of lattice gas models out of equilibrium conditioned on averages of dynamical observables. The application of this framework to the two-dimensional…

Statistical Mechanics · Physics 2021-11-05 Ricardo Gutiérrez , Carlos Pérez-Espigares