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A size-extensive, converging, black-box, ab initio coupled-cluster ($\Delta$CC) ansatz is introduced that computes the energies and wave functions of stationary states from any degenerate or nondegenerate Slater-determinant references with…

化学物理 · 物理学 2026-05-15 So Hirata

We have implemented noniterative triples corrections to the energy from coupled-cluster with single and double excitations (CCSD) within the 1-electron exact two-component (1eX2C) relativistic framework. The effectiveness of both the…

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a…

超导电性 · 物理学 2009-11-11 T. A. Maier , M. S. Jarrell , D. J. Scalapino

This article presents an in-depth educational overview of the latest mathematical developments in coupled cluster (CC) theory, beginning with Schneider's seminal work from 2009 that introduced the first local analysis of CC theory. We offer…

化学物理 · 物理学 2024-01-17 Fabian M. Faulstich

In this paper, we report on a correctly scaling novel coupled cluster singles and doubles (CCSD) implementation for arbitrary high-spin open-shell states. The chosen cluster operator is completely spin-free, i.e. employs spatial…

化学物理 · 物理学 2022-02-23 Nils Herrmann , Michael Hanrath

A novel implementation of the coupled-cluster singles and doubles (CCSD) approach is presented that is specifically tailored for the treatment of large, symmetric systems. It fully exploits Abelian point-group symmetry and the use of the…

化学物理 · 物理学 2023-12-07 Tommaso Nottoli , Jürgen Gauss , Filippo Lipparini

The failures of single-reference coupled cluster for strongly correlated many-body systems is flagged at the mean-field level by the spontaneous breaking of one or more physical symmetries of the Hamiltonian. Restoring the symmetry of the…

强关联电子 · 物理学 2017-08-22 Matthew R. Hermes , Jorge Dukelsky , Gustavo E. Scuseria

The curse of dimensionality (COD) limits the current state-of-the-art {\it ab initio} propagation methods for non-relativistic quantum mechanics to relatively few particles. For stationary structure calculations, the coupled-cluster (CC)…

量子物理 · 物理学 2015-06-03 Simen Kvaal

An electrodynamical coupled cluster (CC) methodology starting from a covariant formalism and an equal time approximation, and finally based on the Dirac-Fock picture of the electron and positron fields and Coulomb gauge, is given here. The…

原子物理 · 物理学 2019-04-30 Sambhu N. Datta

Metallic solids are a challenging target for wavefunction-based electronic structure theories and have not been studied in great detail by such methods. Here, we use coupled-cluster theory with single and double excitations (CCSD) to study…

材料科学 · 物理学 2022-04-05 Verena A. Neufeld , Hong-Zhou Ye , Timothy C. Berkelbach

We introduce a range-separation approximation to coupled cluster doubles (CCD) theory that successfully overcomes limitations of regular CCD when applied to the uniform electron gas. We combine the short-range ladder channel with the…

化学物理 · 物理学 2014-05-07 James J. Shepherd , Thomas M. Henderson , Gustavo E. Scuseria

Lossy compression is widely used to reduce storage and I/O costs for large-scale particle datasets in scientific applications such as cosmology, molecular dynamics, and fluid dynamics, where clustering structures (e.g., single-linkage or…

机器学习 · 计算机科学 2026-04-22 Congrong Ren , Sheng Di , Katrin Heitmann , Franck Cappello , Hanqi Guo

The pair-coupled-cluster doubles (pCCD) method has emerged as a viable approach for quantum-chemical studies of strongly correlated systems. Despite its lower formal scaling (O(N$^4$)) compared to other versions of coupled cluster (CC)…

化学物理 · 物理学 2026-04-17 Rahul Chakraborty , Paweł Tecmer

The fermionic many-body problem in the strong correlation regime is notoriously difficult to tackle. In a previous work (Phys. Rev. B 101, 045109 (2020)), we have proposed to extend the single-reference coupled-cluster (SRCC) method to the…

强关联电子 · 物理学 2024-11-13 Dominic Bergeron

Unsupervised clustering algorithms for vectors has been widely used in the area of machine learning. Many applications, including the biological data we studied in this paper, contain some boundary datapoints which show combination…

机器学习 · 计算机科学 2022-05-23 Yingcong Li , Chandra Sekhar Mukherjee , Jiapeng Zhang

The quantum computing scheme described in Phys. Rev. Lett. 98, 190504 (2007), when viewed as a cluster state computation, features a 3-D cluster state, novel adjustable strength error correction capable of correcting general errors through…

量子物理 · 物理学 2009-07-16 Austin G. Fowler , Kovid Goyal

Unitary coupled cluster (UCC), originally developed as a variational alternative to the popular traditional coupled cluster method, has seen a resurgence as a functional form for use on quantum computers. However, the number of excitors…

化学物理 · 物理学 2021-01-07 Maria-Andreea Filip , Alex J. W. Thom

We consider two distinct coupled cluster (CC) perturbation series that both expand the difference between the energies of the CCSD (CC with single and double excitations) and CCSDT (CC with single, double, and triple excitations) models in…

For multivariate data, tandem clustering is a well-known technique aiming to improve cluster identification through initial dimension reduction. Nevertheless, the usual approach using principal component analysis (PCA) has been criticized…

统计方法学 · 统计学 2024-03-26 Andreas Alfons , Aurore Archimbaud , Klaus Nordhausen , Anne Ruiz-Gazen

Electrodynamical coupled cluster (CC) methodologies have been formulated employing standard QED Hamiltonian that is written in Coulomb gauge while using the DF and the MCDF pictures of the matter field for closed-shell and open-shell cases…

量子物理 · 物理学 2024-01-15 Sambhu N. Datta