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Using a variational ansatz for the wave function of the Bose-Einstein condensate, we develop a quantum theory of vortices and quadrupole modes in a one-dimensional optical lattice. We study the coupling between the quadrupole modes and…

Statistical Mechanics · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

I make some simple observations about the calculation of weighted averages over energy of Minkowski space spectral densities from weighted averages over time of Euclidean space correlation functions, measured in latice simulations. The…

High Energy Physics - Lattice · Physics 2022-07-20 Thomas DeGrand

The collective interactions of nanoparticles arranged in periodic structures give rise to high-$Q$ in-plane diffractive modes known as surface lattice resonances. While these resonances and their broader implications have been extensively…

In this work, we strive to gain insight into thermal modifications of charmonium and bottomonium bound states as well as the heavy quark diffusion coefficient. The desired information is contained in the spectral function which can not be…

High Energy Physics - Lattice · Physics 2020-08-13 H. -T. Ding , O. Kaczmarek , A. -L. Kruse , H. Ohno , H. Sandmeyer

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for Lattice Quantum Chromodynamics (LQCD) in the research frontier in fundamental symmetries and signals for new physics. LQCD, in…

We propose a new method to renormalize lattice operators. The method is based on the technique to compute the spectral sum appearing in the Shifman-Vainshtein-Zakharov QCD sum rule from lattice correlators. The application of this technique…

High Energy Physics - Lattice · Physics 2021-12-01 Tsutomu Ishikawa , Shoji Hashimoto , Takashi Kaneko

We examine the diffraction properties of lattice dynamical systems of algebraic origin. It is well-known that diverse dynamical properties occur within this class. These include different orders of mixing (or higher-order correlations), the…

Dynamical Systems · Mathematics 2019-07-17 Michael Baake , Tom Ward

Laser speckles have become a fundamental component of the modern optics-research toolbox. Not only are speckle patterns the basis of numerous imaging techniques, but also, they are employed to generate optical potentials for cold atoms and…

Optics · Physics 2019-03-12 Nicholas Bender , Hasan Yilmaz , Yaron Bromberg , Hui Cao

It is shown theoretically how to directly obtain the energy distribution of a weakly interacting gas of bosons confined in an optical lattice in the tight-binding limit. This is accomplished by adding a linear potential to a suitably…

Statistical Mechanics · Physics 2009-11-13 David L. Feder

The eigenvalue spectrum $\rho(\lambda)$ of the Dirac operator is numerically calculated in lattice QCD with 2+1 flavors of dynamical domain-wall fermions. In the high-energy regime, the discretization effects become significant. We subtract…

High Energy Physics - Lattice · Physics 2018-07-11 Katsumasa Nakayama , Hidenori Fukaya , Shoji Hashimoto

Associated with the use of conventional integrated parton densities are kinematic approximations on parton momenta which result in unphysical differential distributions for final-state particles. We argue that it is important to reformulate…

High Energy Physics - Phenomenology · Physics 2007-05-23 John Collins , Hannes Jung

The pseudoscalar correlator is an ideal lattice probe for thermal modifications to quarkonium spectra, given that it is not compromised by a contribution from a large transport peak. We construct a perturbative spectral function…

High Energy Physics - Lattice · Physics 2017-12-04 Y. Burnier , H. -T. Ding , O. Kaczmarek , A. -L. Kruse , M. Laine , H. Ohno , H. Sandmeyer

Soon after the formulation of Quantum Chromodynamics in 1972 its regularization on Euclidean space-time lattices had been introduced by Kenneth Wilson. This paved ground for numerical studies of non-perturbative aspects of QCD, first shown…

High Energy Physics - Lattice · Physics 2022-12-27 Frithjof Karsch

The multiple scattering of coherent light is a problem of both fundamental and applied importance. In optics, phase conjugation allows spatial focussing and imaging through a multiply scattering medium; however, temporal control is…

A novel proposal is outlined to determine scattering amplitudes from finite-volume spectral functions. The method requires extracting smeared spectral functions from finite-volume Euclidean correlation functions, with a particular complex…

High Energy Physics - Lattice · Physics 2019-09-04 John Bulava , Maxwell T. Hansen

We study Euclidean lattice formulations of non-gauge supersymmetric models with up to four supercharges in various dimensions. We formulate the conditions under which the interacting lattice theory can exactly preserve one or more nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 Joel Giedt , Erich Poppitz

We investigate the in-medium modifications of heavy quarkonia in the vector channel and the heavy quark diffusion coefficient by comparing Euclidean correlators from the lattice to a perturbative spectral function. On the lattice side, we…

High Energy Physics - Lattice · Physics 2020-02-05 Anna-Lena Lorenz , Heng-Tong Ding , Olaf Kaczmarek , Hiroshi Ohno , Hauke Sandmeyer , Hai-Tao Shu

Lattice QCD predicts a rich spectroscopy of glueballs and $q\bar{q}-$glue h ybrids. I compare these with data and assess the emerging empirical situation. Questions for the lattice are proposed.

High Energy Physics - Lattice · Physics 2009-10-31 F. E. Close

We present an application of evolutionary algorithms to the curve-fitting problems commonly encountered when trying to extract particle masses from correlators in Lattice QCD. Harnessing the flexibility of evolutionary methods in global…

High Energy Physics - Lattice · Physics 2008-11-26 Georg M. von Hippel , Randy Lewis , Robert G. Petry

The inclusive hadronic decay-rates of the $\tau$ lepton are particularly interesting from the phenomenological point of view since they give access to the CKM matrix elements $V_{ud}$ and $V_{us}$. In this talk, we discuss how a recent…