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We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random block configurations, as the number of blocks $M\to \infty$,…

Mathematical Physics · Physics 2025-05-23 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Alexander Uhlmann

Spatial distributions of heavy particles suspended in an incompressible isotropic and homogeneous turbulent flow are investigated by means of high resolution direct numerical simulations. In the dissipative range, it is shown that particles…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , L. Biferale , M. Cencini , A. Lanotte , S. Musacchio , F. Toschi

This paper concerns the propagation of particles through a quenched random medium. In the one- and two-dimensional models considered, the local dynamics is given by expanding circle maps and hyperbolic toral automorphisms, respectively. The…

Dynamical Systems · Mathematics 2011-10-18 Tapio Simula , Mikko Stenlund

We study various methods to generate ensembles of random density matrices of a fixed size N, obtained by partial trace of pure states on composite systems. Structured ensembles of random pure states, invariant with respect to local unitary…

Quantum Physics · Physics 2019-02-27 Karol Zyczkowski , Karol A. Penson , Ion Nechita , Benoit Collins

Random scattering of light in disordered media is an intriguing phenomenon of fundamental relevance to various applications. While techniques such as wavefront shaping and transmission matrix measurements have enabled remarkable progress…

The goal of this investigation was to derive strictly new properties of chaotic systems and their mutual relations. The generalized Fokker-Planck equation with a non stationary diffusion has been derived and used for chaos analysis. An…

Chaotic Dynamics · Physics 2014-07-29 Sergey A. Kamenshchikov

We develop a formulation of the strong deflection limit for the scattering of particles following timelike geodesics in asymptotically flat, static, and spherically symmetric spacetimes. For fixed specific energy, as the angular momentum…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Takahisa Igata , Yohsuke Takamori

We study a model inspired by the pinball machine involving chaotic scattering of particles on hard disks with inelasticity. This system exhibits sensitivity not only on the initial conditions of the scattering point particle but also on the…

chao-dyn · Physics 2009-09-25 Constantia Alexandrou , Iacovos Kyprianou

Frequency dependence of pulsar linear polarization is investigated by simulations of emission and propagation processes. Linearly polarized waves are generated through curvature radiation by relativistic particles streaming along curved…

High Energy Astrophysical Phenomena · Physics 2015-06-23 P. F. Wang , C. Wang , J. L. Han

We propose the use of collective states of matter as a resource for the deterministic generation of quantum states of light, which are fundamental for quantum information technologies. Our minimal model consists of three emitters coupled to…

Quantum Physics · Physics 2025-08-26 Oriol Rubies-Bigorda , Stuart J. Masson , Susanne F. Yelin , Ana Asenjo-Garcia

This study aims to address the nature of state change, measurement, and probabilistic outcomes in non-relativistic quantum mechanics. We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential.…

Quantum Physics · Physics 2026-01-13 Olivia Pomerenk , Charles S. Peskin

In the absence of confinement localization of waves takes place due to randomness or nonlinearity and relies on their phase coherence. We quantitatively probe the sensitivity of localized wave packets to random phase fluctuations and…

Disordered Systems and Neural Networks · Physics 2015-06-12 K. Rayanov , G. Radons , S. Flach

We discuss diffusion of particles in a spatially inhomogeneous medium. From the microscopic viewpoint we consider independent particles randomly evolving on a lattice. We show that the reversibility condition has a discrete geometric…

Statistical Mechanics · Physics 2018-11-14 Daniele Andreucci , Emilio N. M. Cirillo , Matteo Colangeli , Davide Gabrielli

We propose using spontaneous Raman scattering from an optically driven Bose-Einstein condensate as a source of atom-photon pairs whose internal states are maximally entangled. Generating entanglement between a particle which is easily…

Quantum Physics · Physics 2009-11-06 M. G. Moore , P. Meystre

The influence of crowding on the diffusion of tagged particles in a dense medium is investigated in the framework of a mean-field model, derived in the continuum limit from a microscopic stochastic process with exclusion. The probability…

Statistical Mechanics · Physics 2015-06-19 Marta Galanti , Duccio Fanelli , Amos Maritan , Francesco Piazza

Cold atomic ensembles can mediate the generation of entanglement between pairs of photons. Photons with specific directions of propagation are detected, and the entanglement can reside in any of the degrees of freedom that describe the…

Quantum Physics · Physics 2009-11-13 Clara I. Osorio , Sergio Barreiro , Morgan W. Mitchell , Juan P. Torres

We consider the fast charged particles scattering in ultrathin crystals on the base of the Born approxima-tion of quantum electrodynamics. The main attention is paid to the question of the scattering cross section splitting into coherent…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Nikolai Shul'ga , Viktoriia Koriukina

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

Actively propelled particles undergoing dissipative collisions are known to develop a state of spatially distributed coherently moving clusters. For densities larger than a characteristic value clusters grow in time and form a stationary…

Soft Condensed Matter · Physics 2013-04-23 Christoph A. Weber , Florian Thüroff , Erwin Frey

The collective motion of interacting self-driven particles describes many types of coordinated dynamics and self-organisation. Prominent examples are alignment or lane formation which can be observed alongside other ordered structures and…

Adaptation and Self-Organizing Systems · Physics 2022-02-24 Basma Khelfa , Raphael Korbmacher , Andreas Schadschneider , Antoine Tordeux