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We present two related techniques to measure the two-point correlation function and the power spectrum with edge correction in any spatial dimensions. The underlying algorithm uses fast Fourier transforms for calculating the two-point…

Astrophysics · Physics 2009-11-11 István Szapudi , Jun Pan , Simon Prunet , Tamás Budavári

In lattice QCD spectrum calculations, it is desirable to obtain multiple excited state energies in each symmetry channel. Typically, one constructs several interpolating operators for the symmetry channel of interest, forms the `correlator…

High Energy Physics - Lattice · Physics 2008-11-26 Adam C. Lichtl

This paper presents three quantitative sampling methods for reconstructing extended sources of the biharmonic wave equation using scattered field data. The first method employs an indicator function that solely relies on scattered fields $…

Mathematical Physics · Physics 2025-12-12 Xiaodong Liu , Qingxiang Shi , Jing Wang

We show how to compute electromagnetic polarizabilities of charged hadrons using four-point functions in lattice QCD. The low-energy behavior of Compton scattering amplitude is matched to matrix elements of current-current correlation…

High Energy Physics - Lattice · Physics 2022-01-03 Walter Wilcox , Frank X. Lee

We explore the use of first and second order same-time atomic spatial correlation functions as a diagnostic for probing the small scale spatial structure of atomic samples trapped in optical lattices. Assuming an ensemble of equivalent…

Quantum Physics · Physics 2015-06-26 John P. Grondalski , Paul M. Alsing , Ivan H. Deutsch

Frequency-dependent correlations, such as the spectral function and the dynamical structure factor, help understand condensed matter experiments. Within the density matrix renormalization group (DMRG) framework, an accurate method for…

Strongly Correlated Electrons · Physics 2016-12-21 A. Nocera , G. Alvarez

We describe a self calibrating optical technique that allows to perform absolute measurements of scattering cross sections for the light scattered at extremely small angles. Very good performances are obtained by using a very simple optical…

Optics · Physics 2009-11-10 Doriano Brogioli , Alberto Vailati , Marzio Giglio

Recent developments [Kamenev and Mezard, cond-mat/9901110, cond-mat/9903001; Yurkevich and Lerner, cond-mat/9903025; Zirnbauer, cond-mat/9903338] have revived a discussion about applicability of the replica approach to description of…

Statistical Mechanics · Physics 2009-10-31 E. Kanzieper

Based on simulations of 2+1 flavor lattice QCD with M\"obius domain wall fermions at high temperatures, we compute a series of spatial correlation functions to study the screening masses in mesonic states. We compare these masses with the…

High Energy Physics - Lattice · Physics 2024-01-25 David Ward , Sinya Aoki , Yasumichi Aoki , Hidenori Fukaya , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Jishnu Goswami , Yu Zhang

The complete knowledge of a theory is encoded in its correlation functions. Thus non-perturbative effects, like confinement in QCD, is necessarily contained in these correlation functions. As a consequence, a number of confinement scenarios…

High Energy Physics - Lattice · Physics 2013-10-31 Tajdar Mufti , Axel Maas

This study investigates the femtoscopic correlation functions of charmonium-nucleon pairs, utilizing the lattice QCD phase shifts provided by the HAL QCD Collaboration. A ``model-independent'' formalism is employed to transform scattering…

High Energy Physics - Phenomenology · Physics 2025-09-09 Zhi-Wei Liu , Duo-Lun Ge , Jun-Xu Lu , Ming-Zhu Liu , Li-Sheng Geng

Accurate calculations of the spectral density in a strongly correlated quantum many-body system are of fundamental importance to study its dynamics in the linear response regime. Typical examples are the calculation of inclusive and…

Nuclear Theory · Physics 2022-06-15 Joanna E. Sobczyk , Alessandro Roggero

Ab initio computation of two-dimensional electronic spectra is an expanding field, whose goal is improving upon simple, few-dimensional models often employed to explain experiments. Here, we propose an accurate and computationally…

Chemical Physics · Physics 2024-09-26 Tomislav Begušić , Jiří Vaníček

We propose an optimized algorithm for the numerical simulation of two-time correlation functions by means of stochastic wave functions. As a first application, we investigate the two-time correlation function of a nonlinear optical…

Quantum Physics · Physics 2015-06-26 Timo Felbinger , Martin Wilkens

A new method of antenna radiation pattern reconstruction using Chebyshev polynomials was presented in this paper. The analysis starts from the data measured in the frequency domain, and it corresponds to a direct propagating between two…

Mathematical Physics · Physics 2014-09-03 Zhou Du , Minwook Kwon , Dongsun Choi , Jinhwan Koh

Reconstructing spectral functions from Euclidean Green's functions is an important inverse problem in many-body physics. However, the inversion is proved to be ill-posed in the realistic systems with noisy Green's functions. In this Letter,…

High Energy Physics - Phenomenology · Physics 2022-09-22 Lingxiao Wang , Shuzhe Shi , Kai Zhou

We study the spectrum of a random matrix, whose elements depend on the Euclidean distance between points randomly distributed in space. This problem is widely studied in the context of the Instantaneous Normal Modes of fluids and is…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Mezard , G. Parisi , A. Zee

We present a viable method to obtain real-time quantities such as spectral functions or transport coefficients at finite temperature and density within a non-perturbative Functional Renormalization Group approach. Our method is based on a…

High Energy Physics - Phenomenology · Physics 2014-12-10 Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

Material response of real, passive, linear, time-invariant media to external influences is described by complex analytic functions of frequency that can always be written in terms of Stieltjes functions -- a special class of analytic…

Optimization and Control · Mathematics 2022-03-25 Yury Grabovsky

We present a method for analytic continuation of retarded Green functions, including Euclidean Green functions computed using lattice QCD. The method is based on conformal maps and construction of an interpolation function which is analytic…

High Energy Physics - Lattice · Physics 2023-06-14 Thomas Bergamaschi , William I. Jay , Patrick R. Oare