Quantum Monte Carlo simulations of solids

WMC Foulkes, L Mitas, RJ Needs, G Rajagopal - Reviews of Modern Physics, 2001 - APS
This article describes the variational and fixed-node diffusion quantum Monte Carlo methods
and how they may be used to calculate the properties of many-electron systems. These …

Theory of ultracold atomic Fermi gases

S Giorgini, LP Pitaevskii, S Stringari - Reviews of Modern Physics, 2008 - APS
The physics of quantum degenerate atomic Fermi gases in uniform as well as in
harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is …

[BOOK][B] Quantum many-particle systems

JW Negele - 2018 - taylorfrancis.com
This book explains the fundamental concepts and theoretical techniques used to understand
the properties of quantum systems having large numbers of degrees of freedom. A number …

One dimensional bosons: From condensed matter systems to ultracold gases

MA Cazalilla, R Citro, T Giamarchi, E Orignac… - Reviews of Modern …, 2011 - APS
The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

[BOOK][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 …

The spin-½ Heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides

E Manousakis - Reviews of Modern Physics, 1991 - APS
The spin-½ antiferromagnetic Heisenberg model on a square lattice is used to describe the
dynamics of the spin degrees of freedom of undoped copper oxides. Even though the model …

Emerging quantum computing algorithms for quantum chemistry

M Motta, JE Rice - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
Digital quantum computers provide a computational framework for solving the Schrödinger
equation for a variety of many‐particle systems. Quantum computing algorithms for the …

[BOOK][B] Monte Carlo Methods In Ab Initio Quantum Chemistry

BL Hammond, WA Lester Jr, PJ Reynolds - 1994 - World Scientific
The following sections are included: Random Numbers and Statistical Analysis Probability
density and distribution functions Characterization of probability density functions Functions …

Ground state of the two-dimensional electron gas

B Tanatar, DM Ceperley - Physical Review B, 1989 - APS
Variational and fixed-node Green's-function Monte Carlo calculations have been performed
to find the ground-state properties of the two-dimensional electron gas in the density range …

Optimized trial wave functions for quantum Monte Carlo calculations

CJ Umrigar, KG Wilson, JW Wilkins - Physical Review Letters, 1988 - APS
We present a procedure for obtaining optimized trial wave functions for use in quantum
Monte Carlo calculations that have both smaller statistical errors and improved expectation …