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Fixed node diffusion Monte Carlo (DMC) has been performed on a test set of forward and reverse barrier heights for 19 non-hydrogen-transfer reactions, and the nodal error has been assessed. The DMC results are robust to changes in the nodal…

化学物理 · 物理学 2017-04-26 Kittithat Krongchon , Brian Busemeyer , Lucas K. Wagner

The Diffusion Monte Carlo (DMC) method is applied to the water monomer, dimer, and hexamer, using q-TIP4P/F, one of the most simple, empirical water models with flexible monomers. The bias in the time step ($\Delta\tau$) and population size…

化学物理 · 物理学 2016-09-28 Joel D. Mallory , Sandra E. Brown , Vladimir A. Mandelshtam

Quantum Monte Carlo approaches such as the diffusion Monte Carlo (DMC) method are among the most accurate many-body methods for extended systems. Their scaling makes them well suited for defect calculations in solids. We review the various…

材料科学 · 物理学 2014-04-23 William D. Parker , John W. Wilkins , Richard G. Hennig

Atomic force calculations within the variational and diffusion quantum Monte Carlo (VMC and DMC) methods are described. The advantages of calculating DMC forces with the "pure" rather than the "mixed" probability distribution are discussed.…

材料科学 · 物理学 2010-02-15 A. Badinski , P. D. Haynes , J. R. Trail , R. J. Needs

We characterize zero-temperature dipolar Bose gases under external spherical confinement as a function of the dipole strength using the essentially exact many-body diffusion Monte Carlo (DMC) technique. We show that the DMC energies are…

统计力学 · 物理学 2013-05-29 D. C. E. Bortolotti , S. Ronen , J. L. Bohn , D. Blume

In this work we investigate the ground state and the dissipative quantum dynamics of interacting charged particles in an external potential at finite temperature. The recently devised time-dependent quantum Monte Carlo (TDQMC) method allows…

量子物理 · 物理学 2025-01-29 Ivan P. Christov

The quantum Monte Carlo methods represent a powerful and broadly applicable computational tool for finding very accurate solutions of the stationary Schroedinger equation for atoms, molecules, solids and a variety of model systems. The…

计算物理 · 物理学 2011-01-28 Jindrich Kolorenc , Lubos Mitas

We study the hydrogen atom confined to a spherical box with impenetrable walls but, unlike earlier pedagogical articles on the subject, we assume that the nucleus also moves. We obtain the ground-state energy approximately by means of…

量子物理 · 物理学 2015-05-13 Francisco M. Fernandez

We have applied the diffusion quantum Monte Carlo (DMC) method to calculate the cohesive energy and the structural parameters of the binary oxides CaO, SrO, BaO, Sc2O3, Y2O3 and La2O3. The aim of our calculations is to systematically…

材料科学 · 物理学 2016-08-24 Juan A. Santana , Jaron T. Krogel , Paul R. C. Kent , Fernando A. Reboredo

The diffusion Monte Carlo technique is used to calculate and analyze the excitation spectrum of $^3$He atoms bound to a cluster of $^4$He atoms, by using a previously determined optimum filling of single-fermion orbits with well defined…

原子与分子团簇 · 物理学 2009-11-11 S. Fantoni , R. Guardiola , J. Navarro , A. Zuker

Variational and diffusion quantum Monte Carlo (VMC and DMC) methods with Slater-Jastrow-backflow trial wave functions are used to study the spin-polarized three-dimensional uniform electron fluid. We report ground state VMC and DMC energies…

强关联电子 · 物理学 2025-11-11 Sam Azadi , N. D. Drummond , Sam. M. Vinko

We report exact expressions for atomic forces in the diffusion Monte Carlo (DMC) method when using nonlocal pseudopotentials. We present approximate schemes for estimating these expressions in both mixed and pure DMC calculations, including…

材料科学 · 物理学 2008-08-15 A. Badinski , R. J. Needs

Geometric configuration and energy of a hydrogen molecule centered between two point-shaped tips of equal charge are calculated with the variational quantum Monte-Carlo (QMC) method without the restriction of the Born-Oppenheimer (BO)…

介观与纳米尺度物理 · 物理学 2020-05-29 W. Schattke , T. Frederiksen , M. A. Van Hove , R. Díez Muiño

One of the challenging features of studying model Hamiltonians with cold atoms in optical lattices is the presence of spatial inhomogeneities induced by the confining potential, which results in the coexistence of different phases. This…

强关联电子 · 物理学 2015-06-04 J. D. Cone , S. Chiesa , V. R. Rousseau , G. G. Batrouni , R. T. Scalettar

The self-healing diffusion Monte Carlo algorithm (SHDMC) [Reboredo, Hood and Kent, Phys. Rev. B {\bf 79}, 195117 (2009); Reboredo, {\it ibid.} {\bf 80}, 125110 (2009)] is extended to study the ground and excited states of magnetic and…

强关联电子 · 物理学 2011-06-10 Fernando Agustín Reboredo

The Diffusion Monte Carlo method with constant number of walkers, also called Stochastic Reconfiguration as well as Sequential Monte Carlo, is a widely used Monte Carlo methodology for computing the ground-state energy and wave function of…

统计理论 · 数学 2024-12-09 Michel Caffarel , Pierre del Moral , Luc de Montella

We use the diffusion Monte Carlo method to calculate the doubly heavy tetraquark $T_{cc}$ system in two kinds of constituent quark models, the pure constituent quark model AL1/AP1 and the chiral constituent quark model. When the discrete…

高能物理 - 唯象学 · 物理学 2024-04-03 Yao Ma , Lu Meng , Yan-Ke Chen , Shi-Lin Zhu

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

In this article, we report a fully ab initio variational Monte Carlo study of the linear, and periodic chain of Hydrogen atoms, a prototype system providing the simplest example of strong electronic correlation in low dimensions. In…

强关联电子 · 物理学 2015-05-30 Lorenzo Stella , Claudio Attaccalite , Sandro Sorella , Angel Rubio

The Monte Carlo Hamiltonian method developed recently allows to investigate ground state and low-lying excited states of a quantum system, using Monte Carlo algorithm with importance sampling. However, conventional MC algorithm has some…

高能物理 - 格点 · 物理学 2018-01-17 Xiang-Qian Luo , Xiao-Ni Cheng , Helmut Kroger