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We establish a formal connection between the particle-particle (pp) random phase approximation (RPA) and the ladder channel of the coupled cluster doubles (CCD) equations. The relationship between RPA and CCD is best understood within a…

化学物理 · 物理学 2015-06-16 Gustavo E. Scuseria , Thomas M. Henderson , Ireneusz W. Bulik

We respond briefly to a comment [1, arXiv:2110.15493] recently posted online on our paper [2, arXiv:2108.07893]. Complete and cluster synchronization of random networks is undoubtedly a topic of interest in the Physics, Engineering, and…

系统与控制 · 电气工程与系统科学 2022-02-02 Shirin Panahi , Nelson Amaya , Isaac Klickstein , Galen Novello , Francesco Sorrentino

We derive and implement a new way of solving coupled cluster equations with lower computational scaling. Our method is based on decomposition of both amplitudes and two electron integrals, using a combination of tensor hypercontraction and…

化学物理 · 物理学 2020-05-14 Roman Schutski , Jinmo Zhao , Thomas M. Henderson , Gustavo E. Scuseria

Coupled cluster theory produced arguably the most widely used high-accuracy computational quantum chemistry methods. Despite the approach's overall great computational success, its mathematical understanding is so far limited to results…

代数几何 · 数学 2024-03-29 Fabian M. Faulstich , Mathias Oster

Unitary coupled cluster (UCC) theory offers a promising Hermitian alternative to conventional coupled cluster (CC) theory, but its practical implementation is hindered by the non-truncating nature of the Baker-Campbell-Hausdorff (BCH)…

化学物理 · 物理学 2025-05-05 Justin T. Phillips , Lauren N. Koulias , Stephen H. Yuwono , A. Eugene DePrince

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

机器学习 · 统计学 2023-08-14 Luca Coraggio , Pietro Coretto

In this work, we introduce a correction to the unitary coupled cluster method with single and double excitations (UCCSD) that incorporates the effects of missing triple excitations through a treatment that is correct through fifth-order in…

化学物理 · 物理学 2025-09-08 Zachary W. Windom , Daniel Claudino

We present a Jastrow-factor-inspired variant of coupled cluster theory that accurately describes both weak and strong electron correlation. Compatibility with quantum Monte Carlo allows for variational energy evaluations and an…

强关联电子 · 物理学 2013-12-24 Eric Neuscamman

The small magnitude and long-range character of non-covalent interactions pose a significant challenge for computational quantum chemical and electronic-structure methods alike. State-of-the-art coupled cluster (CC) theory and…

化学物理 · 物理学 2026-01-22 S. Lambie , P. López-Ríos , D. Kats , Ali Alavi

Coupled-cluster theories can be used to compute ab initio electronic correlation energies of real materials with systematically improvable accuracy. However, the widely-used coupled cluster singles and doubles plus perturbative triples…

材料科学 · 物理学 2024-03-01 Nikolaos Masios , Andreas Irmler , Tobias Schäfer , Andreas Grüneis

This paper presents Constrained Centroid Clustering (CCC), a method that extends classical centroid-based clustering by enforcing a constraint on the maximum distance between the cluster center and the farthest point in the cluster. Using a…

机器学习 · 计算机科学 2025-08-19 Sowmini Devi Veeramachaneni , Ramamurthy Garimella

We present an excited-state-specific coupled-cluster approach in which both the molecular orbitals and cluster amplitudes are optimized for an individual excited state. The theory is formulated via a pseudoprojection of the traditional…

化学物理 · 物理学 2023-11-27 Harrison Tuckman , Eric Neuscamman

Localized orbital coupled cluster theory has recently emerged as an nonempirical alternative to DFT for large systems. Intuitively, one might expect such methods to perform less well for highly delocalized systems. In the present work, we…

化学物理 · 物理学 2020-10-16 Nitai Sylvetsky , Ambar Banerjee , Mercedes Alonso , Jan M. L. Martin

Coupled cluster theory has had a momentous impact on the ab initio prediction of molecular properties, and remains a staple ingratiate in high-accuracy thermochemical model chemistries. However, these methods require inclusion of at least…

化学物理 · 物理学 2025-03-26 James H. Thorpe , Zachary W. Windom , Rodney J. Bartlett , Devin A. Matthews

We present a perturbative triples correction to the relativistic quadratic unitary coupled cluster singles and doubles (qUCCSD) method, denoted as qUCCSD[T]. The method builds upon the Hermitian structure of the unitary ansatz and employs a…

化学物理 · 物理学 2025-10-08 Kamal Majee , Ján Šimunek , Jozef Noga , Achintya Kumar Dutta

AI-enabled precision medicine promises a transformational improvement in healthcare outcomes by enabling data-driven personalized diagnosis, prognosis, and treatment. However, the well-known "curse of dimensionality" and the clustered…

机器学习 · 计算机科学 2023-05-19 Amanda M. Buch , Conor Liston , Logan Grosenick

We propose a novel a posteriori error assessment for the single-reference coupled-cluster (SRCC) method called the $S$-diagnostic. We provide a derivation of the $S$-diagnostic that is rooted in the mathematical analysis of different SRCC…

Electronic structure methods built around double-electron excitations have a rich history in quantum chemistry. However, it seems to be the case that such methods are only suitable in particular situations and are not naturally equipped to…

化学物理 · 物理学 2024-07-12 Zachary W. Windom , Ajith Perera , Rodney J. Bartlett

The most essential concept in concurrent multiscale methods involving atomistic-continuum coupling is how to define the relation between atomistic and continuum regions. A well-known coupling method that has been frequently employed in…

介观与纳米尺度物理 · 物理学 2022-07-27 Pouya Towhidi , Manouchehr Salehi

In this Communication, we provide numerical evidence indicating that the standard single-reference coupled-cluster (CC) energies can be calculated alternatively to its copybook definition. We demonstrate that the CC energies can be…

量子物理 · 物理学 2023-02-15 Karol Kowalski