Quantum Monte Carlo and related approaches

BM Austin, DY Zubarev, WA Lester Jr - Chemical reviews, 2012 - ACS Publications
As the name implies, Monte Carlo (MC) methods employ random numbers to solve
problems. The range of problems that may be treated by MC is substantial; these include …

Applications of quantum Monte Carlo methods in condensed systems

J Kolorenč, L Mitas - Reports on Progress in Physics, 2011 - iopscience.iop.org
Abstract Quantum Monte Carlo methods represent a powerful and broadly applicable
computational tool for finding very accurate solutions of the stationary Schrödinger equation …

Inhomogeneous backflow transformations in quantum Monte Carlo calculations

P López Ríos, A Ma, ND Drummond, MD Towler… - Physical Review E …, 2006 - APS
An inhomogeneous backflow transformation for many-particle wave functions is presented
and applied to electrons in atoms, molecules, and solids. We report variational and diffusion …

The uniform electron gas

PF Loos, PMW Gill - Wiley Interdisciplinary Reviews …, 2016 - Wiley Online Library
The uniform electron gas or UEG (also known as jellium) is one of the most fundamental
models in condensed‐matter physics and the cornerstone of the most popular …

Pfaffian pairing wave functions in electronic-structure quantum Monte Carlo simulations

M Bajdich, L Mitas, G Drobný, LK Wagner, KE Schmidt - Physical review letters, 2006 - APS
We investigate the accuracy of trial wave functions for quantum Monte Carlo based on
Pfaffian functional form with singlet and triplet pairing. Using a set of first row atoms and …

Excitation energies from diffusion Monte Carlo using selected configuration interaction nodes

A Scemama, A Benali, D Jacquemin… - The Journal of …, 2018 - pubs.aip.org
Quantum Monte Carlo (QMC) is a stochastic method that has been particularly successful for
ground-state electronic structure calculations but mostly unexplored for the computation of …

Constraints upon Functionals of the 1-Matrix, Universal Properties of Natural Orbitals, and the Fallacy of the Collins “Conjecture”

J Cioslowski, K Strasburger - The Journal of Physical Chemistry …, 2024 - ACS Publications
Reliability of quantum-chemical calculations based upon the density functional theory and
its 1-matrix counterpart hinges upon minimizing the extent of empirical parameterization in …

Quantum monte carlo methods

A Lüchow - Wiley Interdisciplinary Reviews: Computational …, 2011 - Wiley Online Library
Simulations of complex systems have seen rapid progress over the last decade not only due
to the continuous acceleration of computer resources but also due to improvements of …

Electron vortices in the amplitude of the atomic ionization by a few-cycle circularly polarized laser pulse

MM Yusoff, JM Ngoko Djiokap, AV Meremianin… - Physical Review A, 2024 - APS
Electron vortices emerging in the amplitude of the ionization of an atom by an isolated few-
cycle, circularly polarized electromagnetic pulse are analyzed in the multiphoton regime. We …

Influence of pseudopotentials on excitation energies from selected configuration interaction and diffusion Monte Carlo

A Scemama, M Caffarel, A Benali, D Jacquemin… - Results in …, 2019 - Elsevier
Due to their diverse nature, the faithful description of excited states within electronic structure
theory methods remains one of the grand challenges of modern theoretical chemistry …