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We introduce an approach to improve single-reference coupled cluster theory in settings where the Aufbau determinant is absent from or plays only a small role in the true wave function. Using a de-excitation operator that can be efficiently…

化学物理 · 物理学 2024-07-03 Harrison Tuckman , Eric Neuscamman

The methods of quantum chemistry and solid state theory to solve the many-body problem are reviewed. We start with the definitions of reduced density matrices, their properties (contraction sum rules, spectral resolutions, cumulant…

强关联电子 · 物理学 2007-05-23 P. Ziesche , F. Tasnadi

A full coupled-cluster expansion suitable for sparse algebraic operations is developed by expanding the commutators of the Baker-Campbell-Hausdorff series explicitly for cluster operators in binary representations. A full coupled-cluster…

化学物理 · 物理学 2018-09-13 Enhua Xu , Motoyuki Uejima , Seiichiro L. Ten-no

We study the Hamiltonian truncation for the two-dimensional $\lambda\phi^4$ theory within the framework of Hamiltonian truncation effective theory, where truncation artifacts are mitigated through a systematic inclusion of corrective terms…

高能物理 - 唯象学 · 物理学 2026-02-16 Andrea Maestri , Simone Rodini , Barbara Pasquini

The development of a quadratic unitary coupled-cluster singles and doubles (qUCCSD) based self-consistent polarization propagator method is reported. We present a simple strategy for truncating the commutator expansion of the UCC…

化学物理 · 物理学 2024-06-19 Junzi Liu , Lan Cheng

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

The coupled-cluster method is applied to the spin-1/2 antiferromagnetic XXZ model on a square lattice by employing an approximation which contains two-body long-range correlations and high-order four-body local correlations. Improvement is…

强关联电子 · 物理学 2015-05-28 Mohammad Merdan , Y. Xian

We derived and implemented the calculation of the one-body reduced density matrix for Aufbau suppressed coupled cluster theory, from which excited state natural orbitals and one-body properties, like atomic populations and dipole moments,…

化学物理 · 物理学 2026-03-20 Conor Bready , Harrison Tuckman , Eric Neuscamman

We report on the first results for the second-order perturbation theory correction to the ground-state energy of a nuclear many-body system in a continuum quantum Monte Carlo calculation. Second-order (and higher) perturbative corrections…

核理论 · 物理学 2023-11-10 Ryan Curry , Joel E. Lynn , Kevin E. Schmidt , Alexandros Gezerlis

In this paper we extend the rank-reduced coupled-cluster formalism to the calculation of non-iterative energy corrections due to quadruple excitations. There are two major components of the proposed formalism. The first is an approximate…

化学物理 · 物理学 2022-11-11 Michał Lesiuk

We introduce a new augmented adaptation of the recently developed full coupled-cluster reduction (FCCR) with a second-order perturbative correction, abbreviated as FCCR(2). FCCR is a selected coupled-cluster expansion aimed at optimally…

化学物理 · 物理学 2020-11-06 Enhua Xu , Motoyuki Uejima , Seiichiro L. Ten-no

A new method that accurately describes strongly correlated states and captures dynamical correlation is presented. It is derived as a modification of coupled-cluster theory with single and double excitations (CCSD) through consideration of…

化学物理 · 物理学 2013-07-15 Daniel Kats , Frederick R. Manby

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

A general method is described for finding algebraic expressions for matrix elements of any one- and two-particle operator for an arbitrary number of subshells in an atomic configuration, requiring neither coefficients of fractional…

原子物理 · 物理学 2009-11-10 G. Gaigalas , Z. Rudzikas , C. Froese Fischer

We present the first application to real molecular systems of the recently proposed linear-response theory for the density-based basis-set correction method [J. Chem. Phys. 158, 234107 (2023)]. We apply this approach to accelerate the…

化学物理 · 物理学 2024-02-27 Diata Traore , Julien Toulouse , Emmanuel Giner

Theory of one-electron transition density matrices has been formulated within the time-independent coupled cluster method for the polarization propagator [R. Moszynski, P. S. \.Zuchowski, and B. Jeziorski, Coll. Czech. Chem. Commun. {\bf…

化学物理 · 物理学 2014-09-25 Aleksandra M. Tucholska , Marcin Modrzejewski , Robert Moszynski

Two-body matrix elements of arbitrary local interactions are written as the sum of separable terms in a way that is well suited for the exchange and pairing channels present in mean-field calculations. The expansion relies on the…

核理论 · 物理学 2010-04-29 L. M. Robledo

The Trotterized Unitary Coupled Cluster Single and Double (UCCSD) ansatz has recently attracted interest due to its use in Variation Quantum Eigensolver (VQE) molecular simulations on quantum computers. However, when the size of molecules…

化学物理 · 物理学 2023-05-29 Mohammad Haidar , Marko J. Rančić , Yvon Maday , Jean-Philip Piquemal

A numerically implementable Multi-scale Many-Body approach to strongly correlated electron systems is introduced. An extension to quantum cluster methods, it approximates correlations on any given length-scale commensurate with the strength…

强关联电子 · 物理学 2012-01-04 C. Slezak , M. Jarrell , Th. Maier , J. Deisz

We develop a quartic-scaling implementation of coupled-cluster singles and doubles based on low-rank tensor hypercontraction (THC) factorizations of both the electron repulsion integrals (ERIs) and the doubles amplitudes. This extends our…

化学物理 · 物理学 2024-06-19 Edward G. Hohenstein , B. Scott Fales , Robert M. Parrish , Todd J. Martinez