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Related papers: Indicators of wavefunction (de)localization in the…

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We consider the model of the directed polymer in a random medium of dimension 1+3, and investigate its multifractal properties at the localization/delocalization transition. In close analogy with models of the quantum Anderson localization…

Disordered Systems and Neural Networks · Physics 2007-06-13 Cecile Monthus , Thomas Garel

This paper connects nonpositive sectional curvature of a Riemannian manifold with the displacement convexity of the variance functional on the space $P(M)$ of probability measures over $M$. We show that $M$ has nonpositive sectional…

Differential Geometry · Mathematics 2015-03-24 Young-Heon Kim , Brendan Pass

We improve the precision of the interferometric weak-value-based beam deflection measurement by introducing a power recycling mirror, creating a resonant cavity. This results in \emph{all} the light exiting to the detector with a large…

Quantum Physics · Physics 2015-05-01 Kevin Lyons , Justin Dressel , Andrew N. Jordan , John C. Howell , Paul G. Kwiat

We investigate a two-level model with a large number of open decay channels in order to describe avoided level crossing statistics in open chaotic billiards. This model allows us to describe the fundamental changes of the probability…

Chaotic Dynamics · Physics 2009-09-28 Charles Poli , Barbara Dietz , Olivier Legrand , Fabrice Mortessagne , Achim Richter

A new multiscale implementation of non-local means filtering for image denoising is proposed. The proposed algorithm also introduces a modification of similarity measure for patch comparison. The standard Euclidean norm is replaced by…

Computer Vision and Pattern Recognition · Computer Science 2013-04-04 Zahid Hussain Shamsi , Dai-Gyoung Kim

We derive an analytical trace formula for the level density of the two-dimensional elliptic billiard using an improved stationary phase method. The result is a continuous function of the deformation parameter (eccentricity) through all…

Nuclear Theory · Physics 2009-10-31 A. G. Magner , S. N. Fedotkin , K. Arita , T. Misu , K. Matsuyanagi , T. Shachner , M. Brack

We study the statistical properties of wavefunctions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wavefunctions cross over from real to complex. Each wavefunction is characterized…

Chaotic Dynamics · Physics 2007-05-23 P. W. Brouwer

We study scattering by metamaterials with negative indices of refraction, which are known to support \emph{surface plasmons} -- long-lived states that are highly localized at the boundary of the cavity. This type of states has found uses in…

Spectral Theory · Mathematics 2025-05-29 Yan-Long Fang , Jeffrey Galkowski

We propose an iterative scheme for feature-based positioning using a new weighted dissimilarity measure with the goal of reducing the impact of large errors among the measured or modeled features. The weights are computed from the…

Machine Learning · Computer Science 2019-05-31 Caifa Zhou , Andreas Wieser

We introduce the spin dissymmetry factor, a measure of the spin-selectivity in the optical transition rate of quantum particles. This spin dissymmetry factor is valid locally, including at material interfaces and within optical cavities. We…

We exploit millimeter wave technology to measure the reflection and transmission response of random dielectric media. Our samples are easily constructed from random stacks of identical, sub-wavelength quartz and Teflon wafers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 John A. Scales , L. D. Carr , D. B. McIntosh , Valentin Freilikher , Yu. P. Bliokh

The entanglement and localization in eigenstates of strongly chaotic subsystems are studied as a function of their interaction strength. Excellent measures for this purpose are the von-Neumann entropy, Havrda-Charv{\' a}t-Tsallis entropies,…

Cross section ratios for deep-inelastic scattering from $^3$He, $^{14}$N and $^{84}$Kr with respect to $^2$H have been measured by the HERMES collaboration at DESY using a 27.5 GeV positron beam. The data cover a range in the Bjorken…

High Energy Physics - Experiment · Physics 2016-08-31 HERMES Collaboration , A. Airapetian

In "Modeling and observation of mid-infrared nonlocality in effective epsilon-near-zero ultranarrow coaxial apertures" the authors perform infrared transmission measurements on coaxial aperture arrays in metal films. They claim that the…

Optics · Physics 2020-01-16 Reuven Gordon , Ali Khademi , Ghazal Hajisalem

The supersymmetry technique [A. V. Kolesnikov and K. B. Efetov, Phys. Rev. Lett. 83, 3689 (1999)] predicts a two-scale behavior of wavefunction decay in disordered wires in the crossover regime from preserved to broken time-reversal…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus , C. W. J. Beenakker

We discuss the forward and inverse problems between the potential V(x) measured in a heart chamber and its sources represented by a dipole density d(y) located on the heart wall. We show that the mapping from d(y) to V(x) is a compact…

Tissues and Organs · Quantitative Biology 2016-01-19 Gunter Scharf , Lam Dang

Instead of investigating the interference between two stationary, rectilinear wave functions in a trajectory representation by examining the two rectilinear wave functions individually, we examine a dichromatic wave function that is…

Quantum Physics · Physics 2008-11-26 Edward R. Floyd

We present microwave measurements for the density and spatial correlation of current critical points in an open billiard system, and compare them with the predictions of the Random Wave Model (RWM). In particular, due to a novel improvement…

Statistical Mechanics · Physics 2009-11-13 R. Höhmann , U. Kuhl , H. -J. Stöckmann , J. D. Urbina , M. Dennis

We present a systematic survey of scarring and symmetry effects in the stadium billiard. The localization of individual eigenfunctions in Husimi phase space is studied first, and it is demonstrated that on average there is more localization…

Chaotic Dynamics · Physics 2009-08-14 W. E. Bies , L. Kaplan , M. R. Haggerty , E. J. Heller

A one-dimensional electron system at quarter-filling has been examined by applying the renormalization group method to a bosonized model with on-site (U) and nearest-neighbor (V) repulsive interactions. By evaluating both normal scattering…

Strongly Correlated Electrons · Physics 2009-10-31 Hideo Yoshioka , Masahisa Tsuchiizu , Yoshikazu Suzumura