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We propose a new autocorrelation measure for functional time series that we term spherical autocorrelation. It is based on measuring the average angle between lagged pairs of series after having been projected onto the unit sphere. This new…

Methodology · Statistics 2022-07-14 Chi-Kuang Yeh , Gregory Rice , Joel A. Dubin

The statistical properties of coherent radiation scattered from phase-ordering materials are studied in detail using large-scale computer simulations and analytic arguments. Specifically, we consider a two-dimensional model with a…

Statistical Mechanics · Physics 2009-10-30 Gregory Brown , Per Arne Rikvold , Mark Sutton , Martin Grant

We explore how to compute, classically at strong coupling, correlation functions of local operators corresponding to classical spinning string states. The picture we obtain is of `fattened' Witten diagrams, the evaluation of which turns out…

High Energy Physics - Theory · Physics 2014-11-20 Romuald A. Janik , Piotr Surowka , Andrzej Wereszczynski

Here we revisit the quantum algorithms for obtaining Forrelation [Aaronson et al, 2015] values to evaluate some of the well-known cryptographically significant spectra of Boolean functions, namely the Walsh spectrum, the cross-correlation…

Quantum Physics · Physics 2025-05-20 Suman Dutta , Subhamoy Maitra , Chandra Sekhar Mukherjee

Recognizing, quantifying and visualizing associations between two variables is increasingly important. This paper investigates how a new function-valued measure of dependence, the quantile dependence function, can be used to construct tests…

Methodology · Statistics 2019-04-16 Ćmiel Bogdan , Ledwina Teresa

We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness…

High Energy Physics - Phenomenology · Physics 2017-08-09 Radja Boughezal , Frank Petriello , Ulrich Schubert , Hongxi Xing

Measuring bipartite fluctuations of a conserved charge, such as the particle number, is a powerful approach to understanding quantum systems. When the measured region has sharp corners, the bipartite fluctuation receives an additional…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Pok Man Tam , Jonah Herzog-Arbeitman , Jiabin Yu

We study theoretically how multiple scattering of light in a disordered medium can spontaneously generate quantum correlations. In particular we focus on the case where the input state is Gaussian and characterize the correlations between…

Quantum Physics · Physics 2016-05-17 Ilya Starshynov , Jacopo Bertolotti , Janet Anders

In recent decades it was established that the quantum measurements of physical quantities in space-time points divided by space-like intervals may be correlated. Though such correlation follows from the formulas of quantum mechanics its…

Quantum Physics · Physics 2015-12-14 S. V. Gantsevich , V. L. Gurevich

We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable…

High Energy Physics - Phenomenology · Physics 2020-11-18 Sven Huelsmann , Soeren Schlichting , Philipp Scior

The current-current correlation function is a useful concept in the theory of electron transport in homogeneous solids. The finite-temperature conductivity tensor as well as Anderson's localization length can be computed entirely from this…

Disordered Systems and Neural Networks · Physics 2016-02-23 Emil Prodan , Jean Bellissard

We present an experimental study of the propagation of quantum noise in a multiple scattering random medium. Both static and dynamic scattering measurements are performed: the total transmission of noise is related to the mean free path for…

Quantum Physics · Physics 2009-11-10 P. Lodahl , A. Lagendijk

We consider high order current cumulants in disordered systems out of equilibrium. They are interesting and reveal information which is not easily exposed by the traditional shot noise. Despite the fact that the dynamics of the electrons is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. B. Gutman , Yuval Gefen , A. D. Mirlin

The distribution of waiting times between successive tunneling events is an already established method to characterize current fluctuations in mesoscopic systems. Here, I investigate mechanisms generating correlations between subsequent…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Krzysztof Ptaszynski

We describe how the effect of charge noise on a pair of spins coupled via the exchange interaction can be calculated by modelling charge fluctuations as a random telegraph noise process using probability density functions. We develop…

Quantum Physics · Physics 2013-05-29 M. J. Testolin , J. H. Cole , L. C. L. Hollenberg

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. A. Gracey

In scattering theory, the squared relative wave function $|\phi({\bf q},{\bf r})|^2$ is often interpreted as a weight, due to final-state interactions, describing the probability enhancement for emission with asymptotic relative momentum…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

The quantum theory can be formulated in the language of positive functionals on Weyl or Clifford algebra ($L$-functionals). It is shown that this language gives simple understanding of diagrams of Keldysh formalism (that coincide in our…

Mathematical Physics · Physics 2020-01-08 Albert Schwarz

Correlation functions of the six and nineteen vertex models on an N \times N lattice with domain wall boundary conditions are studied. The general expression of the boundary correlation functions is obtained for the six vertex model by use…

Mathematical Physics · Physics 2011-08-02 Kohei Motegi

Study of far-from-equilibrium thermalization dynamics in quantum materials, including the dynamics of different types of quasiparticles, is becoming increasingly crucial. However, the inherent complexity of either the full quantum…

Computational Physics · Physics 2021-03-17 Indrajit Wadgaonkar , Rishabh Jain , Marco Battiato