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Structured, periodic optical materials can be used to form photonic crystals capable of dispersing, routing, and trapping light. A similar phenomena in periodic elastic structures can be used to manipulate mechanical vibrations. Here we…

Holographic particle characterization uses quantitative analysis of holographic microscopy data to precisely and rapidly measure the diameter and refractive index of individual colloidal spheres in their native media. When this technique is…

Soft Condensed Matter · Physics 2022-10-19 Rafe Abdulali , Lauren E. Altman , David G. Grier

The development of numerical methods capable of simulating realistic materials with strongly correlated electrons, with controllable errors, is a central challenge in quantum many-body physics. Here we describe how a hybrid between…

Strongly Correlated Electrons · Physics 2015-04-23 Alexei A. Kananenka , Emanuel Gull , Dominika Zgid

We propose a class of variational Gaussian wavefunctions to describe Fr\"ohlich polarons at finite momenta. Our wavefunctions give polaron energies that are in excellent agreement with the existing Monte Carlo results for a broad range of…

Quantum Gases · Physics 2016-04-13 Yulia E. Shchadilova , Fabian Grusdt , Alexey N. Rubtsov , Eugene Demler

Polarization is a fundamental property of light that can be engineered and controlled efficiently with optical metasurfaces. Here, we employ chiral metasurfaces with monoclinic lattice geometry and achiral meta-atoms for resonant…

This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting system leads to complex patterns involving a separation into…

Analysis of PDEs · Mathematics 2024-10-02 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

We present a method of creation of photonic structures whose optical spectrum of the reflection coefficient has an arbitrary shape and has predetermined features. We develop an algorithm for the construction of a photonic crystal structure,…

Optics · Physics 2023-05-16 S. E. Svyakhovskiy , N. I. Pyshkov

We present an efficient method for the computation of homogenized coefficients of divergence-form operators with random coefficients. The approach is based on a multiscale representation of the homogenized coefficients. We then implement…

Numerical Analysis · Mathematics 2019-05-17 A. Hannukainen , J. -C. Mourrat , H. Stoppels

We compare the various chirality measures most widely used in the literature to quantify chiral symmetry in extended solids, i.e., the continuous chirality measure, the Hausdorff distance, and the angular momentum. By studying these…

Materials Science · Physics 2026-02-09 Fernando Gómez-Ortiz , Mauro Fava , Emma E. McCabe , Aldo H. Romero , Eric Bousquet

We consider a general approach for the process of Lagrangian and Hamiltonian reduction by symmetries in chiral gauge models. This approach is used to show the complete integrability of several one dimensional texture equations arising in…

Dynamical Systems · Mathematics 2015-06-19 François Gay-Balmaz , Michael Monastyrsky , Tudor S. Ratiu

An effective hadronic lagrangian consistent with the symmetries of quantum chromodynamics and intended for applications to finite-density systems is constructed. The degrees of freedom are (valence) nucleons, pions, and the low-lying…

Nuclear Theory · Physics 2009-10-30 R. J. Furnstahl , Brian D. Serot , Hua-Bin Tang

The design of future circular high-energy hadron colliders is based on the achievement of challenging magnetic fields, needed to keep the hadron beams orbiting along the ring circumference. The strength of the dipolar magnetic field is a…

Accelerator Physics · Physics 2021-09-29 M. Giovannozzi , E. todesco

We report on the fabrication of what we believe is the first example of a two dimensional nonlinear periodic crystal\cite{berger}, where the refractive index is constant but in which the 2nd order nonlinear susceptibility is spatially…

We apply a generalized model for the determination and analysis of the dielectric function of optically anisotropic materials with colour dispersion to phonon modes and show that it can also be generalized to excitonic polarizabilities and…

We perform a systematic one-loop renormalization to the standard model with a nonlinearly realized Higgs boson field and the electroweak chiral Lagrangian up to $O(p^2)$ order. We find even in the nonlinear form, the Higgs model of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qi-Shu Yan

We start from a one-dimensional periodic multilayered stack in order to define a frequency power expansion of effective permittivity, permeability and bianisotropic parameters. It is shown from the first order that a simple dielectric…

Optics · Physics 2012-12-04 Yan Liu , Sébastien Guenneau , Boris Gralak

The overlap Dirac operator at nonzero quark chemical potential involves the computation of the sign function of a non-Hermitian matrix. In this talk we present an iterative method, first proposed by us in Ref. [1], which allows for an…

High Energy Physics - Lattice · Physics 2009-01-14 Jacques Bloch , Andreas Frommer , Bruno Lang , Tilo Wettig

Computationally efficient and accurate quantum mechanical approximations to solve the many-electron Schr\"odinger equation are at the heart of computational materials science. In that respect the coupled cluster hierarchy of methods plays a…

Materials Science · Physics 2022-01-11 Tina N. Mihm , Tobias Schäfer , Sai Kumar Ramadugu , Andreas Grüneis , James J. Shepherd

We use the chiral quark model to estimate the coefficients of the weak chiral lagrangian as obtained from the bosonization of the ten relevant operators of the $\Delta S = 1$ effective quark lagrangian. All contributions of order $N_c^2$ as…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Antonelli , S. Bertolini , J. O. Eeg , M. Fabbrichesi , E. I. Lashin

With the aim of future applications in quantum mechanical embedding in extended systems such as crystals, we suggest a simple and computationally efficient method which enables construction of a set of nonorthogonal highly localized…

Computational Physics · Physics 2009-11-10 Oleh Danyliv , Lev Kantorovich
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