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Related papers: Measure for chaotic scattering amplitudes

200 papers

A short summary of the drift-diffusion-Langevin formalism for calculating finite-frequency shot noise in diffusive conductors is presented. Two new results are included in this presentation. First, we arrive at a simple (but accurate)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Naveh

Atoms, propagating across a detuned standing laser wave, can be scattered in a chaotic way even in the absence of spontaneous emission and any modulation of the laser field. Spontaneous emission masks the effect in some degree, but the…

Atomic Physics · Physics 2015-06-05 S. V. Prants

In this article we study a relatively novel way of constructing chaotic sequences of probability measures supported on Kac's sphere, which are obtained as the law of a vector of $N$ i.i.d. variables after it is rescaled to have unit average…

Probability · Mathematics 2022-04-13 Roberto Cortez , Hagop Tossounian

Decay law of a complicated unstable state formed in a high energy collision is described by the Fourier transform of the two-point correlation function of the scattering matrix. Although each constituent resonance state decays exponentially…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Valentin V. Sokolov

We compute scattering amplitudes of the regularized bosonic Nambu-Goto string in the mean-field approximation, disregarding fluctuations of the Lagrange multiplier and an independent metric about their mean values. We use the previously…

High Energy Physics - Theory · Physics 2017-11-08 J. Ambjorn , Y. Makeenko

The recent introduction of the concept of scattering fidelity, causes us to revisit the experiment by Lobkis and Weaver [Phys. Rev. Lett. 90, 254302 (2003)]. There, the ``distortion'' of the coda of an acoustic signal is measured under…

Chaotic Dynamics · Physics 2009-11-11 T. Gorin , T. H. Seligman , R. L. Weaver

We connect quantum graphs with infinite leads, and turn them to scattering systems. We show that they display all the features which characterize quantum scattering systems with an underlying classical chaotic dynamics: typical poles, delay…

Chaotic Dynamics · Physics 2009-11-07 Tsampikos Kottos , Uzy Smilansky

We review recent research on the transport properties of classical waves through chaotic systems with special emphasis on microwaves and sound waves. Inasmuch as these experiments use antennas or transducers to couple waves into or out of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 U. Kuhl , H. -J. Stoeckmann , R. Weaver

Analytical expressions for the width and conductance peak distributions of irregularly shaped quantum dots in the Coulomb blockade regime are presented in the limits of conserved and broken time-reversal symmetry. The results are obtained…

Condensed Matter · Physics 2009-10-28 Y. Alhassid , C. H. Lewenkopf

We introduce the notion of multi-dimensional chaos that applies to processes described by erratic functions of several dynamical variables. We employ this concept in the interpretation of classical and quantum scattering off a pinball…

High Energy Physics - Theory · Physics 2026-05-27 Massimo Bianchi , Maurizio Firrotta , Jacob Sonnenschein , Dorin Weissman

We investigate shot noise for quantum dots whose classical phase space consists of both regular and chaotic regions. The noise is systematically suppressed below the universal value of fully chaotic systems, by an amount which varies with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -S. Sim , H. Schomerus

The flux-based statistical theory of the non-hierarchical three-body system predicts that the chaotic outcome distribution reduces to the chaotic emissivity function times a known function, the asymptotic flux. Here, we measure the chaotic…

Dynamical Systems · Mathematics 2024-02-19 Viraj Manwadkar , Alessandro Alberto Trani , Barak Kol

This article presents a study of the electromagnetic response of a chaotic reverberation chamber (RC) in the presence of losses. By means of simulations and of experiments, the fluctuations in the maxima of the field obtained in a…

Data Analysis, Statistics and Probability · Physics 2022-05-25 J. -B. Gros , U. Kuhl , O. Legrand , F. Mortessagne , O. Picon , E. Richalot

Motivated by the desire to understand chaos in the $S$-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string…

High Energy Physics - Theory · Physics 2021-06-18 David J. Gross , Vladimir Rosenhaus

Periodically kicked Floquet systems such as the kicked rotor are a paradigmatic and illustrative simple model of chaos. For non-integrable quantum dynamics there are several diagnostic measures of the presence of (or the transition to)…

Quantum Physics · Physics 2024-11-11 Amin A. Nizami

The rigorous analytical calculation of the diffusion coefficient is performed for the chaotic motion of a particle in a set of longitudinal waves with random phases and large amplitudes (~ A). A first step proves the existence of a…

Plasma Physics · Physics 2007-05-23 D. F. Escande , Y. Elskens

We derive the photocount statistics of the radiation emitted from a chaotic laser resonator in the regime of single-mode lasing. Random spatial variations of the resonator eigenfunctions lead to strong mode-to-mode fluctuations of the laser…

Quantum Physics · Physics 2009-11-07 G. Hackenbroich , C. Viviescas , B. Elattari , F. Haake

In this paper, we study random features manifested in components of energy eigenfunctions of quantum chaotic systems, given in the basis of unperturbed, integrable systems. Based on semiclassical analysis, particularly on Berry's…

Statistical Mechanics · Physics 2023-03-31 Jiaozi Wang , Wen-ge Wang

We study shot noise for generic quantum dots coupled to two leads and allow for an arbitrary strength of diffractive impurity scattering inside the dots. The ballistic quantum dots possess a mixed classical phase space, where regular and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -S. Sim , H. Schomerus

In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS…

Information Theory · Computer Science 2015-06-19 Götz E. Pfander , Pavel Zheltov