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We study stochastic billiards in infinite planar domains with curvilinear boundaries: that is, piecewise deterministic motion with randomness introduced via random reflections at the domain boundary. Physical motivation for the process…

Probability · Mathematics 2008-08-30 Mikhail V. Menshikov , Marina Vachkovskaia , Andrew R. Wade

A variety of mesoscopic systems can be represented as a billiard with a random coupling to the exterior at the boundary. Examples include quantum dots with multiple leads, quantum corrals with different kinds of atoms forming the boundary,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Igor Rozhkov , Ganpathy Murthy

Within classical optics, one may add microscopic "roughness" to a macroscopically flat mirror so that parallel rays of a given angle are reflected at different outgoing angles. Taking the limit (as the roughness becomes increasingly…

Probability · Mathematics 2012-04-12 Omer Angel , Krzysztof Burdzy , Scott Sheffield

In many physical situations involving diverse length scales, waves or rays representing them travel through media characterized by spatially smooth, random, modest refactive index variations. "Primary" diffraction (by individual…

Classical Physics · Physics 2021-12-14 Eric J Heller , Ragnar Fleischmann , Tobias Kramer

Cosmic rays (CRs) leave their sources mainly along the local magnetic field; in doing so they excite both resonant and nonresonant modes through streaming instabilities. The excitation of these modes leads to enhanced scattering and in turn…

High Energy Astrophysical Phenomena · Physics 2021-06-10 Benedikt Schroer , Oreste Pezzi , Damiano Caprioli , Colby Haggerty , Pasquale Blasi

We present a unified picture of dispersive readout of quantum systems in and out of equilibrium. A cornerstone of the approach is the backaction of the measured system to the cavity obtained with non-equilibrium linear-response theory. It…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Sigmund Kohler

Ordered lattices of emitters with subwavelength periodicities support unconventional forms of light-matter interactions arising from collective effects. Here, we propose the realization and control of subradiant optical states within the…

Optics · Physics 2023-02-28 Paloma A. Huidobro , Maria Blanco de Paz

The optical conductance of a multiple scattering medium is the total transmitted light of a diffuse incoming beam. This quantity, very analogous to the electronic conductance, exhibits universal conductance fluctuations. We perform a…

Condensed Matter · Physics 2009-10-22 M. C. W. van Rossum , Th. M. Nieuwenhuizen , R. Vlaming

Some scaling properties for classical light ray dynamics inside a periodically corrugated waveguide are studied by use of a simplified two-dimensional nonlinear area-preserving map. It is shown that the phase space is mixed. The chaotic sea…

Chaotic Dynamics · Physics 2009-03-11 Edson D. Leonel

The application of random matrix theory to scattering requires introduction of system-specific information. This paper shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically…

Statistical Mechanics · Physics 2010-02-03 Jen-Hao Yeh , James A. Hart , Elliott Bradshaw , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

We investigate the occurrence of bound states in the continuum (BIC's) in serial structures of quantum dots coupled to an external waveguide, when some characteristic length of the system is changed. By resorting to a multichannel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Cattapan , P. Lotti

We investigate scattering through chaotic ballistic quantum dots in the Coulomb blockade regime. Focusing on the scattering phase, we show that large universal sequences emerge in the short wavelength limit, where phase lapses of $\pi$…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 Rafael A. Molina , Rodolfo A. Jalabert , Dietmar Weinmann , Philippe Jacquod

We develop a mesoscopic framework in which the cosmological exterior is treated as an open quantum subsystem coupled to horizon degrees of freedom. Although local conservation laws satisfy $\nabla_\mu\langle J^\mu\rangle=0$, transport of…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Jonathan Holland

In this paper, we study the mean-field dynamics of a general class of many-body systems with stochastically fluctuating interactions. Our findings reveal a universal algebraic decay of the order parameter $m(t)\sim t^{-\chi}$ with an…

Strongly Correlated Electrons · Physics 2022-02-04 Zi Cai

We analyze a model quantum dynamical system subjected to periodic interaction with an environment, which can describe quantum measurements. Under the condition of strong classical chaos and strong decoherence due to large coupling with the…

We discuss the physical meaning and the geometric interpretation of causality implementation in classical field theories. Causality is normally implemented through kinematical constraints on fields but we show that in a zero-distance limit…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza

We introduce a class of convex, higher-dimensional billiard models which generalise stadium billiards. These models correspond to the free motion of a point-particle in a region bounded by cylinders cut by planes. They are motivated by…

Chaotic Dynamics · Physics 2013-02-07 Thomas Gilbert , David P. Sanders

We consider light-induced binding and motion of dielectric microparticles in an optical waveguide that gives rise to a back-action effect such as light transmission oscillating with time. Modeling the particles by dielectric slabs allows us…

Optics · Physics 2017-03-07 Almas F. Sadreev , E. Ya. Sherman

We put forward a model that describes a decaying and evanescent point source of non-interacting quantum waves in 1D. This point-source assumption allows for a simple description that captures the essential aspects of the dynamics of a wave…

Quantum Physics · Physics 2022-08-31 F. Delgado , J. G. Muga

The theory of Quantum Darwinism aims to explain how our objective classical reality arises from the quantum world, by analysing the distribution of information about a quantum system that is accessible to multiple observers, who probe the…

Quantum Physics · Physics 2020-10-07 Eugenia Colafranceschi , Ludovico Lami , Gerardo Adesso , Tommaso Tufarelli