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Waves propagating through a weakly scattering random medium show a pronounced branching of the flow accompanied by the formation of freak waves, i.e., extremely intense waves. Theory predicts that this strong fluctuation regime is…

Disordered Systems and Neural Networks · Physics 2013-11-05 S. Barkhofen , J. Metzger , R. Fleischmann , U. Kuhl , H. -J. Stoeckmann

We develop a self contained stochastic perturbation theory for discrete generation and multivariate Ensemble Kalman filters. Unlike their continuous-time counterparts, discrete EnKF algorithms are defined through a two steps prediction…

Probability · Mathematics 2026-01-28 Pierre Del Moral , Bouchra Nasri , Bruno Rémillard

It is shown that the characteristics of the mesoscopic fluctuations in the conventional quantum-diffusion model and the model of the non-coherent (`classical') diffusion in media with long-range correlated disorder are quite similar in the…

Condensed Matter · Physics 2007-05-23 Igor V. Lerner

Recently a model of metric fluctuations has been proposed which yields an effective Schr\"odinger equation for a quantum particle with a modified inertial mass, leading to a violation of the weak equivalence principle. The renormalization…

General Relativity and Quantum Cosmology · Physics 2015-06-26 H. -P. Breuer , E. Göklü , C. Lämmerzahl

We discuss fluctuations in the measurement process and how these fluctuations are related to the dissipational parameter characterising quantum damping or decoherence. On the example of the measuring current of the variable-barrier or QPC…

Quantum Physics · Physics 2008-11-26 L. Stodolsky

We study the fluctuations of the total topological charge of a scalar wave propagating in a hollow conducting wave guide filled with scatterers inside. We investigate the dependence of the screening on the scattering mean free path and on…

Other Condensed Matter · Physics 2015-05-13 D. Anache-Menier , B. A. van Tiggelen

We report on experiments that were performed with microwave waveguide systems and demonstrate that in the frequency range of a single transversal mode they may serve as a model for closed and open quantum graphs. These consist of bonds that…

Quantum Physics · Physics 2023-05-30 Weihua Zhang , Xiaodong Zhang , Jiongning Che , Junjie Lu , M. Miski-Oglu , Barbara Dietz

Superconducting resonators are now found in a broad range of applications that require high-fidelity measurement of low-energy signals. A common feature across almost all of these applications is the need for increased numbers of resonators…

Superconductivity · Physics 2022-04-01 J. Li , P. S. Barry , Z. Pan , C. Albert , T. Cecil , C. L. Chang , K. Dibert , M. Lisovenko , V. Yefremenko

We expand on recent studies to analytically model the behavior of two thin flux tubes interacting through the near- and acoustic far-field. The multiple scattering that occurs between the pair alters the absorption and phase of the outgoing…

Solar and Stellar Astrophysics · Physics 2015-06-18 Chris S. Hanson , Paul S. Cally

Density-wave instabilities have been observed and studied in a multitude of materials. Most recently, in the context of unconventional superconductors like the iron-based superconductors, they have excited considerable interest. We analyze…

Strongly Correlated Electrons · Physics 2018-08-31 Mareike Hoyer , Jörg Schmalian

In the Coulomb blockade regime of a ballistic quantum dot, the distribution of conductance peak spacings is well known to be incorrectly predicted by a single-particle picture; instead, matrix element fluctuations of the residual electronic…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 L. Kaplan

We propose a new approach to detailed balance violation in electrical circuits by relying on the scattering matrix formalism commonly used in microwave electronics. This allows to include retardation effects which are paramount at high…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Alexandre Dumont , Pierre Février , Christian Lupien , Bertrand Reulet

By means of a simple model system, the total volume fluctuations of a tapped granular material in the steady state are studied. In the limit of a system with a large number of particles, they are found to be Gaussian distributed, and…

Statistical Mechanics · Physics 2010-04-20 J. J. Brey , A. Prados

A recently developed wavelet based approach is employed to characterize the scaling behavior of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behavior and…

Chaotic Dynamics · Physics 2009-11-11 P. Manimaran , Prasanta K. Panigrahi , P. Anantha Lakshmi

We discuss and briefly overview recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the…

Quantum Physics · Physics 2017-12-21 D. V. Savin

Scattering wave systems that are periodically modulated in time offer many new degrees of freedom to control waves both in spatial and frequency domains. Such systems, albeit linear, do not conserve frequency and require the adaptation of…

Applied Physics · Physics 2023-04-25 Matthieu Malléjac , Romain Fleury

The emergence of nonequilibrium phenomena in individual complex wave systems has long been of fundamental interests. Its analytic studies remain notoriously difficult. Using the mathematical tool of the concentration of measure (CM), we…

Statistical Mechanics · Physics 2018-11-14 Ping Fang , Liyi Zhao , Chushun Tian

We investigate the fluctuations of linear spectral statistics of a Wigner matrix $W\_N$ deformed by a deterministic diagonal perturbation $D\_N$, around a deterministic equivalent which can be expressed in terms of the free convolution…

Probability · Mathematics 2020-03-17 Sandrine Dallaporta , Maxime Fevrier

We show that two-photon transport can be modulated by a two-level emitter coupled to a cavity in a one-dimensional waveguide. In the ordinary case, the transmitted light has a wider frequency spectrum than the situation without the cavity…

Quantum Physics · Physics 2015-05-28 Zhongling Ji , Shaoyan Gao

The recently proposed Fluctuating Two-Ray (FTR) model is gaining momentum as a reference fading model in scenarios where two dominant specular waves are present. Despite the numerous research works devoted to the performance analysis under…