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In this study, we give an extension of Montanaro's arXiv/archive:1504.06987 quantum Monte Carlo method, tailored for computing expected values of random variables that exhibit infinite variance. This addresses a challenge in analyzing…

量子物理 · 物理学 2024-03-08 Jose Blanchet , Mario Szegedy , Guanyang Wang

Accurate ab initio calculations are of fundamental importance in physics, chemistry, biology, and materials science, which have witnessed rapid development in the last couple of years with the help of machine learning computational…

化学物理 · 物理学 2022-10-27 Yubing Qian , Weizhong Fu , Weiluo Ren , Ji Chen

A Monte Carlo method is presented to evaluate quantum states with many particles moving in the continuum. The scattering state is generated at each time by a Monte Carlo random sampling algorithm. The same calculation are repeated until the…

核理论 · 物理学 2013-06-06 Zhen-Xiang Xu , Chong Qi

Quantum Monte Carlo methods have proven to predict atomic and bulk properties of light and non-light elements with high accuracy. Here we report on the first variational quantum Monte Carlo (VMC) calculations for solid surfaces. Taking the…

材料科学 · 物理学 2009-10-31 R. Bahnsen , H. Eckstein , W. Schattke , N. Fitzer , R. Redmer

We show that the standard Lanczos algorithm can be efficiently implemented statistically and self consistently improved, using the stochastic reconfigurat ion method, which has been recently introduced to stabilize the Monte Carlo sign…

强关联电子 · 物理学 2009-02-05 S. Sorella

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

The diffusion quantum Monte Carlo method is extended to solve the old theoretical physics problem of many-electron atoms and ions in intense magnetic fields. The feature of our approach is the use of adiabatic approximation wave functions…

量子物理 · 物理学 2009-11-13 S. Bucheler , D. Engel , J. Main , G. Wunner

Self-learning Monte Carlo method (SLMC), using a trained effective model to guide Monte Carlo sampling processes, is a powerful general-purpose numerical method recently introduced to speed up simulations in (quantum) many-body systems. In…

强关联电子 · 物理学 2018-07-18 Chuang Chen , Xiao Yan Xu , Junwei Liu , George Batrouni , Richard Scalettar , Zi Yang Meng

Hydrogen single-particle dynamics in solid LiH at T=20 K has been studied through the incoherent inelastic neutron scattering technique. A careful analysis of the scattering data has allowed for the determination of a reliable…

材料科学 · 物理学 2009-11-10 J. Boronat , C. Cazorla , D. Colognesi , M. Zoppi

Quantum Monte Carlo (QMC) is a family of powerful tools for addressing quantum many-body problems. However, its applications are often plagued by the fermionic sign problem. A promising strategy is to simulate an interaction without sign…

核理论 · 物理学 2025-05-01 Jun Liu , Teng Wang , Bing-Nan Lu

Quantum Monte Carlo (QMC) methods are one of the most important tools for studying interacting quantum many-body systems. The vast majority of QMC calculations in interacting fermion systems require a constraint to control the sign problem.…

强关联电子 · 物理学 2016-12-08 Mingpu Qin , Hao Shi , Shiwei Zhang

Diffusion Monte Carlo (DMC) calculations typically yield highly accurate results in solid-state and quantum-chemical calculations. However, operators that do not commute with the Hamiltonian are at best sampled correctly up to second order…

其他凝聚态物理 · 物理学 2009-11-13 R. Gaudoin , J. M. Pitarke

Monte Carlo methods play important part in modern statistical physics. The application of these methods suffer from two main difficulties.The first is caused by the relatively small number of particles that can participate in any numerical…

统计力学 · 物理学 2007-05-23 A. Brandt , V. Ilyin

We apply the diagrammatic Monte Carlo approach to three-dimensional Fermi-polaron systems with mass-imbalance, where an impurity interacts resonantly with a noninteracting Fermi sea whose atoms have a different mass. This method allows to…

量子气体 · 物理学 2015-04-23 Peter Kroiss , Lode Pollet

We develop a quantum Monte Carlo method for many fermions that allows the use of any one-particle basis. It projects out the ground state by random walks in the space of Slater determinants. An approximate approach is formulated to control…

凝聚态物理 · 物理学 2009-02-20 Shiwei Zhang , Henry Krakauer

We present an improved formalism for quantum Monte Carlo calculations of energy derivatives and properties (e.g. the interatomic forces), with a multideterminant Jastrow-Slater function. As a function of the number $N_e$ of Slater…

化学物理 · 物理学 2017-06-26 Roland Assaraf , Saverio Moroni , Claudia Filippi

We present quantum Monte Carlo results for the field and temperature dependence of the magnetization and the spin-lattice relaxation rate $1/T_1$ of a two-dimensional $S=1/2$ quantum Heisenberg ferromagnet. The Monte Carlo method, which…

介观与纳米尺度物理 · 物理学 2009-10-31 Patrik Henelius , Anders W. Sandvik , Carsten Timm , S. M. Girvin

This topical review describes the methodology of continuum variational and diffusion quantum Monte Carlo calculations. These stochastic methods are based on many-body wave functions and are capable of achieving very high accuracy. The…

材料科学 · 物理学 2010-02-11 R. J. Needs , M. D. Towler , N. D. Drummond , P. Lopez Rios

Quantum Monte Carlo and quantum chemistry techniques are used to investigate pseudopotential models of the lithium hydride (LiH) molecule. Interatomic potentials are calculated and tested by comparing with the experimental spectroscopic…

材料科学 · 物理学 2009-10-01 J. R. Trail , R. J. Needs

We report the first successful application of the {\it ab initio} quantum Monte Carlo (QMC) framework to a phonon dispersion calculation. A full phonon dispersion of diamond is successfully calculated at the variational Monte Carlo (VMC)…

材料科学 · 物理学 2021-04-14 Kousuke Nakano , Tommaso Morresi , Michele Casula , Ryo Maezono , Sandro Sorella