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It has long been known that a uniform distribution of matter cannot produce a Poisson distribution of density fluctuations on very large scales $1/k > ct$ by the motion of discrete particles over timescale $t$. The constraint is part of…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 Richard Lieu

The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schr\"odinger equation. The fact that the potential term…

Classical Physics · Physics 2021-09-15 Farhang Loran , Ali Mostafazadeh

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

We report on an observation of propagating compression waves in a quasi-two-dimensional monolayer of apolar granular rods fluidized by an upflow of air. The collective wave speed is an order of magnitude faster than the speed of the…

Soft Condensed Matter · Physics 2011-10-26 L. J. Daniels , D. J. Durian

The Wigner-Smith (WS) time delay matrix relates a lossless system's scattering matrix to its frequency derivative. First proposed in the realm of quantum mechanics to characterize time delays experienced by particles during a collision,…

Computational Engineering, Finance, and Science · Computer Science 2023-05-17 Utkarsh R. Patel , Yiqian Mao , Eric Michielssen

We study the correlated Haldane-Hubbard model with single-particle gain and loss, focusing on its non-Hermitian phase diagram and the ensuing non-unitary dynamic properties. The interplay of interactions and non-hermiticity results in…

Strongly Correlated Electrons · Physics 2025-05-05 Tian-Cheng Yi , Rubem Mondaini

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

It has been demonstrated that, in (1+1) spacetime dimensions, massless fields can be used for information transmission even between parties that are time-like rather than light-like separated - and even without the receiver obtaining any…

Quantum Physics · Physics 2016-11-30 Robert H. Jonsson

We present here the transmission of electromagnetic waves through layered structures of metallic and left-handed media. Based on the theory of finite periodic systems, we show that besides the strong influence of the incidence angle, the…

Optics · Physics 2020-12-22 Pedro Pereyra

Waves propagate through disordered systems in a variety of regimes. There is a threshold of disorder beyond which waves become localized and transport becomes restricted. The intensity I of the wave transmitted through a system has a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

The spatial and temporal dynamics of wave propagation are intertwined. A common manifestation of this duality emerges in the spatial and temporal decay of waves as they propagate through a lossy medium. A complete description of the…

We investigate the quantum diffusion of a periodically kicked particle subjecting to both nonlinearity induced self-interactions and $\mathcal{PT}$-symmetric potentials. We find that, due to the interplay between the nonlinearity and…

Chaotic Dynamics · Physics 2021-01-04 Wen-Lei Zhao , Longwen Zhou , Jie Liu , Peiqing Tong , Kaiqian Huang

We obtain explicit expressions for the correlation functions of transmission and reflection coefficients of coherent electronic waves propagating through a disordered quasi-one-dimensional medium with purely elastic diffusive scattering in…

Condensed Matter · Physics 2009-10-22 A. M. S. Macedo

We consider a periodic waveguide array whose unit cell consists of a $\mathcal{PT}$-symmetric quadrimer with two competing loss/gain parameter pairs which lead to qualitatively different symmetry-broken phases. It is shown that the…

Optics · Physics 2016-06-29 P. A. Kalozoumis , C. V. Morfonios , F. K. Diakonos , P. Schmelcher

We investigate temporal scattering in lossless Drude media and reveal an overlooked role of the zero-frequency flat band associated with static polarization charge. This flat band forms an exceptional line spanning all wavenumbers and can…

Optics · Physics 2025-11-03 Neng Wang , Shuyong Chen , Guo Ping Wang

In one-dimensional waveguide quantum electrodynamics systems, quantum emitters interact through infinite-range, dispersive, and dissipative dipole-dipole interactions mediated by guided photonic modes. These interactions give rise to…

Quantum Physics · Physics 2025-10-13 Wei Chen , Guin-Dar Lin , H. H. Jen

Waves in space-dependent and time-dependent materials obey similar wave equations, with interchanged time- and space-coordinates. However, since the causality conditions are the same in both types of material (i.e., without interchangement…

Applied Physics · Physics 2025-08-08 Kees Wapenaar , Johannes Aichele , Dirk-Jan van Manen

Graded index media whose electric susceptibility satisfies the spatial Kramers-Kronig relations are known to be one-way reflectionless to electromagnetic radiation, for all angles of incidence. We demonstrate how a family of these media, in…

Optics · Physics 2017-07-19 Chris King , Simon Horsley , Tom Philbin

We theoretically and experimentally establish a connection between linearly chirped pulse propagation properties and the complex generalization of Wigner-Smith time delay for both transmitted and reflected pulses in linear and dispersive…

Pseudo-Hermitian operators can be used in modeling electromagnetic wave propagation in stationary lossless media. We extend this method to a class of non-dispersive anisotropic media that may display loss or gain. We explore three concrete…

Quantum Physics · Physics 2015-05-18 A. Mostafazadeh , G. Scolarici