Variational benchmarks for quantum many-body problems

D Wu, R Rossi, F Vicentini, N Astrakhantsev, F Becca… - Science, 2024 - science.org
The continued development of computational approaches to many-body ground-state
problems in physics and chemistry calls for a consistent way to assess its overall progress …

Origin of high- superconductivity in doped Hubbard models and their extensions: Roles of uniform charge fluctuations

T Misawa, M Imada - Physical Review B, 2014 - APS
The doped Hubbard model is a simple model for high-T c cuprate superconductors, while its
ground state remains a challenge. Here, by performing state-of-the-art variational Monte …

Time-dependent many-variable variational Monte Carlo method for nonequilibrium strongly correlated electron systems

K Ido, T Ohgoe, M Imada - Physical Review B, 2015 - APS
We develop a time-dependent variational Monte Carlo (t-VMC) method for quantum
dynamics of strongly correlated electrons. The t-VMC method has been recently applied to …

Single-Particle Spectral Function Formulated and Calculated by Variational Monte Carlo Method with Application to -Wave Superconducting State

M Charlebois, M Imada - Physical Review X, 2020 - APS
A method to calculate the one-body Green's function for ground states of correlated electron
materials is formulated by extending the variational Monte Carlo method. We benchmark …

Charge dynamics of correlated electrons: Variational description with inclusion of composite fermions

K Ido, M Imada, T Misawa - Physical Review B, 2020 - APS
We propose a method to calculate the charge dynamical structure factors for the ground
states of correlated electron systems based on the variational Monte Carlo method. Our …

Phase diagram of the triangular extended Hubbard model

LF Tocchio, C Gros, XF Zhang, S Eggert - Physical Review Letters, 2014 - APS
We study the extended Hubbard model on the triangular lattice as a function of filling and
interaction strength. The complex interplay of kinetic frustration and strong interactions on …

Introduction to the variational monte carlo method in quantum chemistry and physics

B Rubenstein - Variational Methods in Molecular Modeling, 2017 - Springer
Abstract Variational Monte Carlo (VMC) methods are a powerful set of quantum Monte Carlo
(QMC) methods that may not only be used to determine the variational energy of a fully …

Spinon and η-spinon correlation functions of the Hubbard chain

PD Sacramento, YC Li, SJ Gu, JMP Carmelo - The European Physical …, 2013 - Springer
We calculate real-space static correlation functions of spin and charge degrees of freedom
of the one-dimensional Hubbard model that are described by operators related to singly …