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We study a system of interacting electrons on a one-dimensional quantum ring using exact diagonalization and the variational quantum Monte Carlo method. We examine the accuracy of the Slater-Jastrow -type many-body wave function and compare…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. S. Gylfadottir , A. Harju , T. Jouttenus , C. Webb

We present a low-scaling diagrammatic Monte Carlo approach to molecular correlation energies. Using combinatorial graph theory to encode many-body Hugenholtz diagrams, we sample the M{\o}ller-Plesset (MPn) perturbation series, obtaining…

Strongly Correlated Electrons · Physics 2023-07-26 G. Bighin , Q. P. Ho , M. Lemeshko , T. V. Tscherbul

Ab initio calculations have been carried out to study the magnetic dipole and electric quadrupole hyperfine structure constants of $^{205}$Pb$^+$. Many-body effects have been considered to all orders using the relativistic coupled-cluster…

Atomic Physics · Physics 2015-06-26 Sonjoy Majumder , B. K. Sahoo , R. K. Chaudhuri , B. P. Das , D. Mukherjee

High energy beams incident on a fixed target may scatter against atomic electrons. To a first approximation, one can treat these electrons as at rest. For precision experiments, however, it is important to be able to estimate the size of,…

High Energy Physics - Phenomenology · Physics 2024-09-24 Ryan Plestid , Mark B. Wise

We introduce a system-independent method to derive effective atomic C$_6$ coefficients and polarizabilities in molecules and materials purely from charge population analysis. This enables the use of dispersion-correction schemes in…

Materials Science · Physics 2016-09-05 Martin Stöhr , Georg S. Michelitsch , John C. Tully , Karsten Reuter , Reinhard J. Maurer

X-Ray transition energies and isotope shifts in heavy atoms are evaluated. The energy levels with vacancies in the inner shells are calculated within the approximation of the average of nonrelativistic configuration employing the…

Atomic Physics · Physics 2018-08-29 I. I. Tupitsyn , N. A. Zubova , V. M. Shabaev , G. Plunien , Th. Stoehlker

Approximate analytical energy formulas for N-body relativistic Hamiltonians with one- and two-body interactions are obtained within the framework of the auxiliary field method. This method has already been proved to be a powerful technique…

Mathematical Physics · Physics 2014-11-20 Bernard Silvestre-Brac , Claude Semay , Fabien Buisseret , Fabian Brau

Mercury (Hg) and superheavy element copernicium (Cn) are investigated using equation-of-motion relativistic coupled-cluster (EOM-RCC) and configuration interaction plus many-body perturbation theory (CI+MBPT) methods. Key atomic properties…

Atomic Physics · Physics 2025-07-25 Hongxu Liu , Jize Han , Yanmei Yu , Yanfeng Ge , Yong Liu , Zhiguo Huang

We theoretically study orbital alignment in x-ray-ionized atoms and ions, based on improved electronic-structure calculations starting from the Hartree-Fock-Slater model. We employ first-order many-body perturbation theory to improve the…

Atomic Physics · Physics 2023-01-03 Laura Budewig , Sang-Kil Son , Robin Santra

While investigating quantum correlations in atomic systems, we note that single measurements contain information about these correlations. Using a simple model of measurement -- analogous to the one used in quantum optics -- we show how to…

Soft Condensed Matter · Physics 2009-11-10 Radka Bach , Kazimierz Rzazewski

The impact of magnetism on predicted atomic short-range order in three medium- and high-entropy alloys is studied using a first-principles, all-electron, Landau-type linear response theory, coupled with lattice-based atomistic modelling. We…

Materials Science · Physics 2023-05-04 Christopher D. Woodgate , Daniel Hedlund , L. H. Lewis , Julie B. Staunton

First-principles simulations of many-fermion systems are commonly limited by the computational requirements of processing large data objects. As a remedy, we propose the use of low-rank approximations of three-body interactions, which are…

Nuclear Theory · Physics 2025-01-09 A. Tichai , P. Arthuis , K. Hebeler , M. Heinz , J. Hoppe , T. Miyagi , A. Schwenk , L. Zurek

We develop several configuration interaction approaches for characterizing the electronic structure of an adsorbate on a metal surface (at least in model form). When one can separate adsorbate from substrate, these methods can achieve a…

Chemical Physics · Physics 2020-02-26 Zuxin Jin , Wenjie Dou , Joseph E. Subotnik

Over the course of the past few decades, the field of computational chemistry has managed to manifest itself as a key complement to more traditional lab-oriented chemistry. This is particularly true in the wake of the recent renaissance of…

Chemical Physics · Physics 2018-10-16 Janus J. Eriksen , Jürgen Gauss

General formulas for calculating the several leading long-range interactions among three identical atoms where two atoms are in identical $S$ states and the other atom is in a $P$ state are obtained using perturbation theory for the…

Atomic Physics · Physics 2016-08-16 Pei-Gen Yan , Li-Yan Tang , Zong-Chao Yan , James F. Babb

We recently proposed a new variational theory of "tensor-optimized antisymmetrized molecular dynamics" (TOAMD), which treats the strong interaction explicitly for finite nuclei [T. Myo et al., Prog. Theor. Exp. Phys. 2015, 073D02 (2015)].…

Nuclear Theory · Physics 2017-09-05 Takayuki Myo , Hiroshi Toki , Kiyomi Ikeda , Hisashi Horiuchi , Tadahiro Suhara

We derive a multiconfigurational time-dependent Hartree theory for systems with particle conversion. In such systems particles of one kind can convert to another kind and the total number of particles varies in time. The theory thus extends…

Quantum Physics · Physics 2009-02-07 Ofir E. Alon , Alexej I. Streltsov , Lorenz S. Cederbaum

High throughput screening of materials for technologically relevant areas, like identification of better catalysts, electronic materials, ceramics for high temperature applications and drug discovery, is an emerging topic of research. To…

Chemical Physics · Physics 2020-05-04 Edgar Josué Landinez Borda , Amit Samanta

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 new many-body method based on the correlation functions, in which the multiple products of the correlation functions are expanded into the many-body diagrams using the cluster expansion method and every diagram is independently…