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We investigate properties of the Generator Coordinate Method (GCM) on a collective basis of Antisymmetrized Quasi-Cluster (AQC) states to describe the cluster-shell competition in $^{20}$Ne and $^{24}$Mg due to the spin-orbit interaction.…

Nuclear Theory · Physics 2011-01-28 N. Itagaki , J. Cseh , M. Płoszajczak

The pair coupled cluster doubles (pCCD) method (where the excitation manifold is restricted to electron pairs) has a series of interesting features. Among others, it provides ground-state energies very close to what is obtained with…

Accuracy, variationality, and convergence underpin the reliability of modern electronic structure methods, yet definitive benchmarks in the relativistic regime remain elusive due to the absence of numerically exact full configuration…

Chemical Physics · Physics 2026-04-03 Shiv Upadhyay , Agam Shayit , Tianyuan Zhang , Stephen H. Yuwono , A. Eugene DePrince , Xiaosong Li

Single reference coupled-cluster (CC) methods for electronic excitation are based on a biorthogonal representation (bCC) of the (shifted) Hamiltonian in terms of excited CC states, also referred to as correlated excited (CE) states, and an…

Other Condensed Matter · Physics 2012-08-07 J. Schirmer , F. Mertins

We develop a stochastic formulation of the optimally-tuned range-separated hybrid density functional theory which enables significant reduction of the computational effort and scaling of the non-local exchange operator at the price of…

Chemical Physics · Physics 2016-09-28 Daniel Neuhauser , Eran Rabani , Yael Cytter , Roi Baer

Tensor decompositions are a fundamental tool in scientific computing and data analysis. In many applications -- such as simulation data on irregular grids, surrogate modeling for parameterized PDEs, or spectroscopic measurements -- the data…

Numerical Analysis · Mathematics 2026-03-27 Johannes J. Brust , Tamara G. Kolda

Addressing both dynamic and static correlation accurately is a primary goal in electronic structure theory. Non-orthogonal configuration interaction (NOCI) is a versatile tool for treating static correlation, offering chemical insights by…

Chemical Physics · Physics 2025-06-27 Chong Sun , Fei Gao , Gustavo E. Scuseria

Moving grids are of interest in the numerical solution of hydrodynamical problems and in numerical relativity. We show that conventional integration methods for the simple wave equation in one and more than one dimension exhibit a number of…

Computational Physics · Physics 2009-11-06 Miguel Alcubierre , Bernard F. Schutz

Understanding extreme non-locality in many-body quantum systems can help resolve questions in thermostatistics and laser physics. The existence of symmetry selection rules for Hamiltonians with non-decaying terms on infinite-size lattices…

Strongly Correlated Electrons · Physics 2020-06-01 S. N. Saadatmand

Ab initio molecular dynamics (AIMD) with hybrid density functionals and plane wave basis is computationally expensive due to the high computational cost of exact exchange energy evaluation. Recently, we proposed a strategy to combine…

Chemical Physics · Physics 2021-01-11 Sagarmoy Mandal , Vaishali Thakkur , Nisanth N. Nair

This paper presents design methods for highly efficient optimisation of geometrically shaped constellations to maximise data throughput in optical communications. It describes methods to analytically calculate the information-theoretical…

Information Theory · Computer Science 2022-09-19 Eric Sillekens , Gabriele Liga , Domaniç Lavery , Polina Bayvel , Robert I. Killey

In this paper, we propose a novel distributed alternating direction method of multipliers (ADMM) algorithm with synergetic communication and computation, called SCCD-ADMM, to reduce the total communication and computation cost of the…

Signal Processing · Electrical Eng. & Systems 2020-09-30 Zhuojun Tian , Zhaoyang Zhang , Jue Wang , Xiaoming Chen , Wei Wang , Huaiyu Dai

We present a new high-performance configuration interaction code optimally designed for the calculation of the lowest energy eigenstates of a few electrons in semiconductor quantum dots (also called artificial atoms) in the strong…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Carlo Cavazzoni , Devis Bellucci , Guido Goldoni

We outline a generic, flexible, modular, yet efficient framework to the computation of energies and states for general nanoscopic systems with a focus on semiconductor quantum dots. The approach utilizes the configuration interaction…

Computational Physics · Physics 2007-05-23 Jordan Kyriakidis

To accelerate distributed training, many gradient compression methods have been proposed to alleviate the communication bottleneck in synchronous stochastic gradient descent (S-SGD), but their efficacy in real-world applications still…

Machine Learning · Computer Science 2023-06-16 Lin Zhang , Longteng Zhang , Shaohuai Shi , Xiaowen Chu , Bo Li

The system of spinless fermions on a hexagonal lattice is studied . We have considered tight-binding model with the hopping integrals between the nearest-neighbor and next-nearest-neighbor lattice sites, that depend on the direction of the…

Strongly Correlated Electrons · Physics 2017-04-27 Igor N. Karnaukhov

The U.S. power grid is undergoing a major paradigm shift with the increased development of renewable generators, electric vehicles, and data centers. In response to this growing need, the U.S. has ramped up the construction of…

Optimization and Control · Mathematics 2026-03-20 Rosemary Barrass , Harsha Nagarajan , Mathieu Tanneau , Russell Bent , Pascal Van Hentenryck

Recent work from our research group has demonstrated that symmetry-projected Hartree--Fock (HF) methods provide a compact representation of molecular ground state wavefunctions based on a superposition of non-orthogonal Slater determinants.…

Chemical Physics · Physics 2015-06-17 Carlos A. Jiménez-Hoyos , R. Rodríguez-Guzmán , Gustavo E. Scuseria

In this paper, we propose an efficient and spectrally accurate numerical method for computing the dynamics of rotating Bose-Einstein condensates (BEC) in two dimensions (2D) and 3D based on the Gross-Pitaevskii equation (GPE) with an…

Other Condensed Matter · Physics 2009-11-11 Weizhu Bao , Hanquan Wang

Many-body simulations of quantum systems is an active field of research that involves many different methods targeting various computing platforms. Many methods commonly employed, particularly coupled cluster methods, have been adapted to…

Chemical Physics · Physics 2023-06-14 David B. Williams-Young , Norm M. Tubman , Carlos Mejuto-Zaera , Wibe A. de Jong