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Compact and accurate wave functions can be constructed by quantum Monte Carlo methods. Typically, these wave functions consist of a sum of a small number of Slater determinants multiplied by a Jastrow factor. In this paper we study the…

凝聚态物理 · 物理学 2009-10-30 Chien-Jung Huang , C. J. Umrigar , M. P. Nightingale

We report all-electron and pseudopotential calculations of the ground-stateenergies of the neutral Ne atom and the Ne+ ion using the variational and diffusion quantum Monte Carlo (DMC) methods. We investigate different levels of…

材料科学 · 物理学 2008-01-03 N. D. Drummond , P. Lopez Rios , A. Ma , J. R. Trail , G. Spink , M. D. Towler , R. J. Needs

A method is developed that allows analysis of quantum Monte Carlo simulations to identify errors in trial wave functions. The purpose of this method is to allow for the systematic improvement of variational wave functions by identifying…

强关联电子 · 物理学 2016-08-03 Kiel T. Williams , Lucas K. Wagner

We discuss electronic properties and their evolution for the linear chain of $H_2$ molecules in the presence of a uniform external force $f$ acting along the chain. The system is described by an extended Hubbard model within a fully…

材料科学 · 物理学 2018-08-15 Andrzej Biborski , Andrzej P. Kądzielawa , Józef Spałek

We present a modification to variational Monte Carlo's linear method optimization scheme that addresses a critical memory bottleneck while maintaining compatibility with both the traditional ground state variational principle and our…

强关联电子 · 物理学 2017-02-07 Luning Zhao , Eric Neuscamman

Modern quantum Monte Carlo (QMC) methods often capture electron correlation through both explicitly correlating Jastrow factors and small to mid-sized configuration interaction (CI) expansions. Here, we study the additional optimization…

化学物理 · 物理学 2023-02-08 Scott M. Garner , Eric Neuscamman

Quantum Monte Carlo (QMC) methods such as variational Monte Carlo and fixed node diffusion Monte Carlo depend heavily on the quality of the trial wave function. Although Slater-Jastrow wave functions are the most commonly used variational…

材料科学 · 物理学 2015-05-28 Bryan K. Clark , Miguel A. Morales , Jeremy McMinis , Jeongnim Kim , Gustavo E. Scuseria

Quantum Monte Carlo calculations of the first-row atoms Li-Ne and their singly-positively-charged ions are reported. Multi-determinant-Jastrow-backflow trial wave functions are used which recover more than 98% of the correlation energy at…

计算物理 · 物理学 2016-08-14 P. Seth , P. López Ríos , R. J. Needs

A quantum Monte Carlo study of the atomization energies for the G2 set of molecules is presented. Basis size dependence of diffusion Monte Carlo atomization energies is studied with a single determinant Slater-Jastrow trial wavefunction…

化学物理 · 物理学 2015-06-04 F. R. Petruzielo , Julien Toulouse , C. J. Umrigar

We introduce a simple generalization of the well known geminal wavefunction already applied in Quantum Chemistry to atoms and small molecules. The main feature of the proposed wavefunction is the presence of the antisymmetric geminal part…

凝聚态物理 · 物理学 2009-11-10 Michele Casula , Sandro Sorella

We introduce a novel three-body correlation factor that is designed to vanish in the core region around each nucleus and approach a universal two-body correlation factor for valence electrons. The Transcorrelated Hamiltonian is used to…

化学物理 · 物理学 2023-03-07 Abdallah Ammar , Anthony Scemama , Emmanuel Giner

We investigate the optimization of flexible tailored real-space Jastrow factors for use in the transcorrelated (TC) method in combination with highly accurate quantum chemistry methods such as initiator full configuration interaction…

We introduce a method for accurate quantum chemical calculations based on a simple variational wave function, defined by a single geminal that couples all the electrons into singlet pairs, combined with a real space correlation factor. The…

材料科学 · 物理学 2009-10-22 M. Marchi , S. Azadi , M. Casula , S. Sorella

We present a technique for optimizing hundreds of thousands of variational parameters in variational quantum Monte Carlo. By introducing iterative Krylov subspace solvers and by multiplying by the Hamiltonian and overlap matrices as they…

强关联电子 · 物理学 2013-05-30 Eric Neuscamman , C. J. Umrigar , Garnet Kin-Lic Chan

We present a simple, robust and highly efficient method for optimizing all parameters of many-body wave functions in quantum Monte Carlo calculations, applicable to continuum systems and lattice models. Based on a strong zero-variance…

其他凝聚态物理 · 物理学 2009-11-11 C. J. Umrigar , Julien Toulouse , Claudia Filippi , S. Sorella , R. G. Hennig

We propose a family of optimization methods that achieve linear convergence using first-order gradient information and constant step sizes on a class of convex functions much larger than the smooth and strongly convex ones. This larger…

最优化与控制 · 数学 2018-09-14 Chris J. Maddison , Daniel Paulin , Yee Whye Teh , Brendan O'Donoghue , Arnaud Doucet

We have developed a flexible framework for constructing Jastrow factors which allows for the introduction of terms involving arbitrary numbers of particles. The use of various three- and four-body Jastrow terms in quantum Monte Carlo…

计算物理 · 物理学 2015-06-05 Pablo Lopez Rios , Priyanka Seth , Neil D Drummond , Richard J Needs

We report a quantum Monte Carlo (QMC) study, on a very simple but nevertheless very instructive model system of four hydrogen atoms, recently proposed in Ref. 1. We find that the Jastrow correlated Antisymmetrized Geminal Power (JAGP) is…

化学物理 · 物理学 2019-05-22 Claudio Genovese , Antonella Meninno , Sandro Sorella

Variational wave functions used in the variational Monte Carlo (VMC) method are extensively improved to overcome the biases coming from the assumed variational form of the wave functions. We construct a highly generalized variational form…

强关联电子 · 物理学 2008-10-27 Daisuke Tahara , Masatoshi Imada

A form of Jastrow factor is introduced for use in quantum Monte Carlo simulations of finite and periodic systems. Test data are presented for atoms, molecules, and solids, including both all-electron and pseudopotential atoms. We…

计算物理 · 物理学 2008-01-03 N. D. Drummond , M. D. Towler , R. J. Needs