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Relying on Feynman-Kac path-integral methodology, we present a new statistical perspective on wave single-scattering by complex three-dimensional objects. The approach is implemented on three models -- Schiff approximation, Born…

All-electron variational and diffusion quantum Monte Carlo calculations of the ground state energies of the first row atoms (Li to Ne) are reported. We use trial wavefunctions of four types: single determinant Slater-Jastrow wavefunctions;…

材料科学 · 物理学 2010-11-22 Matthew Brown , John Robert Trail , Pablo Lopez Rios , Richard Needs

We show that for both single-Slater-Jastrow and Jastrow geminal power wave functions, the formal cost scaling of Hilbert space variational Monte Carlo can be reduced from fifth to fourth order in the system size, thus bringing it in line…

强关联电子 · 物理学 2018-12-05 Haochuan Wei , Eric Neuscamman

The diffusion Monte Carlo method with symmetry-based state selection is used to calculate the quantum energy states of H$_2^+$ confined into potential barriers of atomic dimensions (a model for these ions in solids). Special solutions are…

化学物理 · 物理学 2019-04-03 Gaia Micca Longo , Savino Longo , Domenico Giordano

Contemporary scientific studies often rely on the understanding of complex quantum systems via computer simulation. This paper initiates the statistical study of quantum simulation and proposes a Monte Carlo method for estimating…

应用统计 · 统计学 2011-08-04 Yazhen Wang

The optimization of neural wave functions in variational Monte Carlo crucially relies on a robust convergence criterion. While the energy variance is theoretically a definitive measure, its practical application as a primary convergence…

量子物理 · 物理学 2025-11-03 Huan-Chen Shi , Er-Liang Cui , Dan Zhou

We present a new quantum Monte Carlo algorithm suitable for generically complex problems, such as systems coupled to external magnetic fields or anyons in two spatial dimensions. We find that the choice of gauge plays a nontrivial role, and…

凝聚态物理 · 物理学 2009-10-22 Lizeng Zhang , Geoff Canright , Ted Barnes

The interaction and exchange-correlation contributions to the ground-state energy of an arbitrary many-electron system can be obtained from a spherical average of the wavevector-dependent diagonal structure factor (SF). We model the…

材料科学 · 物理学 2015-06-25 R. Gaudoin , J. M. Pitarke

Monte Carlo techniques have been widely employed in statistical physics as well as in quantum theory in the Lagrangian formulation. However, in some areas of application to quantum theories computational progress has been slow. Here we…

统计力学 · 物理学 2011-04-15 Xiang-Qian Luo , C. Huang , J. Jiang , H. Jirari , H. Kroger , K. Moriarty

Nowadays, there is pressing demand for sustainable energy sources, or clean and 'green' fuel and hydrogen is a perfect candidate. It can be made by dissociating methane with the energy input compensated by metal-hydrogen bond formation.…

化学物理 · 物理学 2022-06-22 Philip E. Hoggan

We employ quantum Monte Carlo to obtain chemically accurate vertical and adiabatic excitation energies, and equilibrium excited-state structures for the small, yet challenging, formaldehyde and thioformaldehyde molecules. A key ingredient…

计算物理 · 物理学 2019-08-02 Monika Dash , Jonas Feldt , Saverio Moroni , Anthony Scemama , Claudia Filippi

Monte Carlo simulations using a hybrid quantum and classical mechanical potential were performed for crystal and amorphous-like HCl-water(n) clusters The subsystem composed by HCl and one water molecule was treated within Density Functional…

化学物理 · 物理学 2009-10-30 Dario A. Estrin , Jorge Kohanoff , Daniel H. Laria , Ruben O. Weht

A compression algorithm is introduced for multi-determinant wave functions which can greatly reduce the number of determinants that need to be evaluated in quantum Monte Carlo calculations. We have devised an algorithm with three levels of…

计算物理 · 物理学 2015-06-17 Gihan L. Weerasinghe , Pablo Lopez Rios , Richard J. Needs

Recent high resolution Compton scattering experiments in lithium have shown significant discrepancies with conventional band theoretical results. We present a pseudopotential quantum Monte Carlo study of electron-electron and electron-ion…

凝聚态物理 · 物理学 2009-10-31 Claudia Filippi , David M. Ceperley

New hybrid Molecular Dynamics-Monte Carlo methods are proposed to increase the efficiency of constant-pressure simulations. Two variations of the isobaric Molecular Dynamics component of the algorithms are considered. In the first, we use…

软凝聚态物质 · 物理学 2009-11-07 Roland Faller , Juan J. de Pablo

We review a recent approach for the simulation of many-body interacting systems based on an efficient generalization of the Lanczos method for Quantum Monte Carlo simulations. This technique allows to perform systematic corrections to a…

强关联电子 · 物理学 2007-05-23 Sandro Sorella

Monte Carlo simulations are performed for the S = 1/2 XY and ferro- and antiferromagnetic Heisenberg model in two dimensions using the loop algorithm. Thermodynamic properties of all these models are investigated in wide temperature range.…

统计力学 · 物理学 2013-02-07 A. K. Murtazaev , M. A. Magomedov

For important classes of many-fermion problems, quantum Monte Carlo (QMC) methods allow exact calculations of ground-state and finite-temperature properties, without the sign problem. The list spans condensed matter, nuclear physics, and…

计算物理 · 物理学 2016-03-23 Hao Shi , Shiwei Zhang

Quantum Monte Carlo (QMC) methods have received considerable attention over the last decades due to their great promise for providing a direct solution to the many-body Schrodinger equation in electronic systems. Thanks to their low scaling…

化学物理 · 物理学 2013-03-28 M. A. Morales , J. McMinis , B. K. Clark , J. Kim , G. Scuseria

Galilean invariance is usually violated in self-consistent mean-field calculations that employ effective density-dependent nuclear forces. We present a novel approach, based on variational quantum Monte Carlo techniques, suitable to…

核理论 · 物理学 2020-01-30 P. Massella , F. Barranco , D. Lonardoni , A. Lovato , F. Pederiva , E. Vigezzi