Ab initio quantum chemistry with neural-network wavefunctions

J Hermann, J Spencer, K Choo, A Mezzacapo… - Nature Reviews …, 2023 - nature.com
Deep learning methods outperform human capabilities in pattern recognition and data
processing problems and now have an increasingly important role in scientific discovery. A …

The properties of hydrogen and helium under extreme conditions

JM McMahon, MA Morales, C Pierleoni… - Reviews of modern …, 2012 - APS
Hydrogen and helium are the most abundant elements in the Universe. They are also, in
principle, the most simple. Nonetheless, they display remarkable properties under extreme …

Ab initio solution of the many-electron Schrödinger equation with deep neural networks

D Pfau, JS Spencer, AGDG Matthews… - Physical review research, 2020 - APS
Given access to accurate solutions of the many-electron Schrödinger equation, nearly all
chemistry could be derived from first principles. Exact wave functions of interesting chemical …

[書籍][B] Quantum Monte Carlo approaches for correlated systems

F Becca, S Sorella - 2017 - books.google.com
Over the past several decades, computational approaches to studying strongly-interacting
systems have become increasingly varied and sophisticated. This book provides a …

Continuum variational and diffusion quantum Monte Carlo calculations

RJ Needs, MD Towler, ND Drummond… - Journal of Physics …, 2009 - iopscience.iop.org
This topical review describes the methodology of continuum variational and diffusion
quantum Monte Carlo calculations. These stochastic methods are based on many-body …

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 …

Neural-network quantum states for ultra-cold Fermi gases

J Kim, G Pescia, B Fore, J Nys, G Carleo… - Communications …, 2024 - nature.com
Ultra-cold Fermi gases exhibit a rich array of quantum mechanical properties, including the
transition from a fermionic superfluid Bardeen-Cooper-Schrieffer (BCS) state to a bosonic …

Neural wave functions for superfluids

WT Lou, H Sutterud, G Cassella, WMC Foulkes… - Physical Review X, 2024 - APS
Understanding superfluidity remains a major goal of condensed matter physics. Here, we
tackle this challenge utilizing the recently developed fermionic neural network (FermiNet) …

A new mean-field method suitable for strongly correlated electrons: Computationally facile antisymmetric products of nonorthogonal geminals

PA Limacher, PW Ayers, PA Johnson… - Journal of chemical …, 2013 - ACS Publications
We propose an approach to the electronic structure problem based on noninteracting
electron pairs that has similar computational cost to conventional methods based on …

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 …