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Within density-functional theory, the local-density approximation (LDA) correlation functional is typically built by fitting the difference between the near-exact and Hartree-Fock (HF) energies of the uniform electron gas (UEG), together…

Chemical Physics · Physics 2017-05-01 Fergus J. M. Rogers , Caleb J. Ball , Pierre-François Loos

We present a detailed error analysis of a Rydberg blockade mediated controlled-NOT quantum gate between two neutral atoms as demonstrated recently in Phys. Rev. Lett. 104, 010503 (2010) and Phys. Rev. A 82, 030306 (2010). Numerical…

Quantum Physics · Physics 2015-06-04 X. L. Zhang , A. T. Gill , L. Isenhower , T. G. Walker , M. Saffman

Exploring controllable interactions lies at the heart of quantum science. Neutral Rydberg atoms provide a versatile route toward flexible interactions between single quanta. Previous efforts mainly focused on the excitation…

Quantum Physics · Physics 2021-02-02 Xiao-Feng Shi

In this paper, enlightened by the asymptotic expansion methodology developed by Li(2013b) and Li and Chen (2016), we propose a Taylor-type approximation for the transition densities of the stochastic differential equations (SDEs) driven by…

Computational Finance · Quantitative Finance 2020-03-16 Fan Jiang , Xin Zang , Jingping Yang

We present zELDA(redshift Estimator for Line profiles of Distant Lyman-Alpha emitters), an open source code to fit Lyman-Alpha (Lya) line profiles. The main motivation is to provide the community with an easy to use and fast tool to analyze…

Astrophysics of Galaxies · Physics 2021-12-22 Siddhartha Gurung-Lopez , Max Gronke , Shun Saito , Silvia Bonoli , Alvaro A. Orsi

The nonlinear optical properties and electro-optic effects of some oxygen-octahedric ferroelectrics are studied by the density functional theory (DFT) in the local density approximation (LDA) expressions based on first principle…

Materials Science · Physics 2011-12-30 Amirullah M. Mamedov , Ekmel Ozbay

Weak transitions in the (2,0) overtone band of the HD molecule at $\lambda = 1.38 \, \mu$m were measured in saturated absorption using the technique of noise-immune cavity-enhanced optical heterodyne molecular spectroscopy. Narrow…

Atomic Physics · Physics 2018-04-18 F. M. J. Cozijn , P. Dupre , E. J. Salumbides , K. S. E. Eikema , W. Ubachs

We discuss the application of the density functional theory in the local density approximation (LDA) near a ferromagnetic quantum critical point. The LDA fails to describe the critical fluctuations in this regime. This provides a…

Strongly Correlated Electrons · Physics 2007-05-23 I. I. Mazin , D. J. Singh , A. Aguayo

Certain excitations, especially ones of long-range charge transfer character, are poorly described by time-dependent density functional theory (TDDFT) when typical (semi-)local functionals are used. A proper description of these excitations…

Chemical Physics · Physics 2018-08-01 J. Garhammer , F. Hofmann , R. Armiento , S. Kümmel

The nature of the theory of circular Rydberg states of hydrogenlike ions allows highly-accurate predictions to be made for energy levels. In particular, uncertainties arising from the problematic nuclear size correction which beset low…

Atomic Physics · Physics 2010-03-30 U. D. Jentschura , P. J. Mohr , J. N. Tan

Rydberg atoms have shown significant promise as the basis for highly sensitive detectors of continuous radio-frequency (RF) E-fields. Here, we study their time-dependent response to pulse-modulated RF E-fields at 19.4 GHz using a cesium…

Atomic Physics · Physics 2022-03-04 Stephanie M. Bohaichuk , Donald Booth , Kent Nickerson , Harry Tai , James P. Shaffer

The local density of states or its Fourier transform, usually called fidelity amplitude, are important measures of quantum irreversibility due to imperfect evolution. In this Rapid Communication we study both quantities in a paradigmatic…

Quantum Physics · Physics 2015-06-15 D. A. Wisniacki , A. Roncaglia

We perform model calculations for a stretched LiF molecule, demonstrating that nonadiabatic charge transfer effects can be accurately and seamlessly described within a density functional framework. In alkali halides like LiF, there is an…

Chemical Physics · Physics 2018-03-01 Chen Li , Ryan Requist , E. K. U. Gross

We present a novel spectroscopic method for probing the \insitu~density of quantum gases. We exploit the density-dependent energy shift of highly excited {Rydberg} states, which is of the order $10$\MHz\,/\,1E14\,cm$^{\text{-3}}$ for…

The Hubbard \emph{U} of the \emph{3d} transition metal series as well as SrVO$_{3}$, YTiO$_{3}$, Ce and Gd has been estimated using a recently proposed scheme based on the random-phase approximation. The values obtained are generally in…

Strongly Correlated Electrons · Physics 2009-11-11 F. Aryasetiawan , K. Karlsson , O. Jepsen , U. Schonberger

The possibility of an atomic detection of gravitational waves on earth is considered. The combination of extremely high lifetimes and resulting small radiative transition probabilities with rapidly growing interaction strength for Rydberg…

Quantum Physics · Physics 2024-12-10 Uwe R. Fischer

We discuss a possible form for a theory akin to local density functional theory, but able to produce van der Waals energies in a natural fashion. The usual Local Density Approximation (LDA) for the exchange and correlation energy $E_{xc}$…

Soft Condensed Matter · Physics 2007-05-23 John F. Dobson

The ground state of an homogeneous electron gas is a paradigmatic state that has been used to model and predict the electronic structure of matter at equilibrium for nearly a century. For half a century, it has been successfully used to…

Chemical Physics · Physics 2024-06-11 Tim Gould , Stefano Pittalis

We calculate properties like equilibrium lattice parameter, bulk modulus and monovacancy formation energy for nickel (Ni), iron (Fe) and chromium (Cr) using Kohn-Sham density functional theory (DFT). We compare relative performance of local…

Materials Science · Physics 2011-09-15 Prithwish Kumar Nandi , M. C. Valsakumar , Sharat Chandra , H. K. Sahu , C. S. Sundar

The coherent interaction between ensembles of helium Rydberg atoms and microwave fields in the vicinity of a solid-state co-planar waveguide is reported. Rydberg-Rydberg transitions, at frequencies between 25 GHz and 38 GHz, have been…

Atomic Physics · Physics 2012-02-23 S. D. Hogan , J. A. Agner , F. Merkt , T. Thiele , S. Filipp , A. Wallraff