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相关论文: Investigation of the Full Configuration Interactio…

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Highly accurate results for the homogeneous electron gas (HEG) have only been achieved to date within a diffusion Monte Carlo (DMC) framework. Here, we introduce a newly developed stochastic technique, Full Configuration Interaction Quantum…

量子气体 · 物理学 2012-02-22 James J. Shepherd , George Booth , Andreas Grüneis , Ali Alavi

By performing a stochastic dynamic in a space of Slater determinants, the Full Configuration Interaction Quantum Monte Carlo (FCIQMC) method has been able to obtain energies which are essentially free from systematic error to the basis set…

计算物理 · 物理学 2014-10-10 George H. Booth , Deidre Cleland , Ali Alavi , David P. Tew

We suggest an efficient method to resolve electronic cusps in electronic structure calculations by using an effective transcorrelated Hamiltonian. This effective Hamiltonian takes a simple form for plane wave bases, containing up to…

计算物理 · 物理学 2018-02-14 Hongjun Luo , Ali Alavi

We provide a spin-adapted formulation of the Full Configuration Interaction Quantum Monte Carlo (FCIQMC) algorithm, based on the Graphical Unitary Group Approach (GUGA), which enables the exploitation of SU(2) symmetry within this…

化学物理 · 物理学 2019-09-10 Werner Dobrautz , Simon Smart , Ali Alavi

We present a stable and systematically improvable quantum Monte Carlo (QMC) approach to calculating excited-state energies, which we implement using our fast randomized iteration method for the full configuration interaction problem…

Model space quantum Monte Carlo (MSQMC) is an extension of full configuration interaction QMC (FCIQMC) that allows us to calculate quasi-degenerate and excited electronic states by sampling the effective Hamiltonian in the model space. We…

化学物理 · 物理学 2017-12-29 Seiichiro L. Ten-no

We present a new approach to calculate excited states with the full configuration interaction quantum Monte Carlo (FCIQMC) method. The approach uses a Gram-Schmidt procedure, instantaneously applied to the stochastically evolving…

计算物理 · 物理学 2015-10-28 N. S. Blunt , Simon D. Smart , George H. Booth , Ali Alavi

We extend the scope of full configuration interaction quantum Monte Carlo (FCIQMC) to be applied to coupled fermion-boson hamiltonians, alleviating the a priori truncation in boson occupation which is necessary for many other wave function…

强关联电子 · 物理学 2022-11-09 Robert J. Anderson , Charles C. J. Scott , George H. Booth

We present a perturbative correction within initiator full configuration interaction quantum Monte Carlo (i-FCIQMC). In the existing i-FCIQMC algorithm, a significant number of spawned walkers are discarded due to the initiator criteria.…

化学物理 · 物理学 2018-06-13 Nick S. Blunt

In this paper, we propose a general analysis framework for inexact power iteration, which can be used to efficiently solve high dimensional eigenvalue problems arising from quantum many-body problems. Under the proposed framework, we…

数值分析 · 数学 2018-06-29 Jianfeng Lu , Zhe Wang

In common with many high-accuracy electronic structure methods, the initiator adaptation of full configuration interaction quantum Monte Carlo (i-FCIQMC) has difficulty treating realistic systems with large numbers of electrons. This…

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in the warm dense matter regime, e.g. dense plasmas and laser excited solids. Also, the quality of density functional theory calculations…

强关联电子 · 物理学 2016-02-10 S. Groth , T. Schoof , T. Dornheim , M. Bonitz

Full configuration interaction quantum Monte Carlo (FCIQMC) is a stochastic approach for finding the ground state of a quantum many-body Hamiltonian. It is based on the dynamical evolution of a walker population in Hilbert space, which…

量子气体 · 物理学 2020-11-04 Mingrui Yang , Elke Pahl , Joachim Brand

In a recent paper, we proposed the adaptive shift method for correcting the undersampling bias of the initiator-FCIQMC. The method allows faster convergence with the number of walkers to the FCI limit than the normal initiator method,…

计算物理 · 物理学 2021-02-03 Khaldoon Ghanem , Kai Guther , Ali Alavi

The Full Configuration Interaction Quantum Monte Carlo (FCIQMC) method has proved able to provide near-exact solutions to the electronic Schr\"odinger equation within a finite orbital basis set, without relying on an expansion about a…

计算物理 · 物理学 2016-08-24 Jennifer Kersten , George H. Booth , Ali Alavi

One bottleneck of quantum Monte Carlo (QMC) simulation of strongly correlated electron systems lies at the scaling relation of computational complexity with respect to the system sizes. For generic lattice models of interacting fermions,…

强关联电子 · 物理学 2019-02-20 Zi Hong Liu , Xiao Yan Xu , Yang Qi , Kai Sun , Zi Yang Meng

Precise knowledge of the static density response function (SDRF) of the uniform electron gas (UEG) serves as key input for numerous applications, most importantly for density functional theory beyond generalized gradient approximations.…

强关联电子 · 物理学 2017-11-06 Simon Groth , Tobias Dornheim , Michael Bonitz

We present extensive new \emph{ab initio} path integral Monte Carlo (PIMC) simulations of the uniform electron gas (UEG) in the high-temperature regime, $8\leq\theta=k_\textnormal{B}T/E_\textnormal{F}\leq128$. This allows us to study the…

等离子体物理 · 物理学 2022-11-23 Tobias Dornheim , Jan Vorberger , Zhandos Moldabekov , Gerd Röpke , Wolf-Dietrich Kraeft

There has been recent literature discussion on the origin and severity of the `sign problem' in full configuration interaction quantum Monte Carlo (FCIQMC) and its `initiator' adaptation (i-FCIQMC), methods of interest and potential because…

The response of the uniform electron gas (UEG) to an external perturbation is of paramount importance for many applications. Recently, highly accurate results for the static density response function and the corresponding local field…

计算物理 · 物理学 2020-06-24 Tobias Dornheim , Zhandos Moldabekov , Jan Vorberger , Simon Groth
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