Constrained Path Monte Carlo For Fermions

TL;DR

This paper discusses the constrained path Monte Carlo method and its application to the Hubbard model, providing lecture notes that detail the technique and its relevance in quantum Monte Carlo simulations.

Contribution

It introduces the constrained path Monte Carlo method and demonstrates its application to the Hubbard model, offering educational insights and practical implementation details.

Findings

Effective simulation of the Hubbard model using constrained path Monte Carlo

Reduction of the fermion sign problem in quantum Monte Carlo simulations

Educational resource for quantum Monte Carlo methods

Abstract

This article contains lecture notes on the constrained path Monte Carlo method and its applications to study the Hubbard model. The lectures were given at the NATO Advanced Summer Institute held in Ithaca NY (1998). The article is published as a chapter in the book `Quantum Monte Carlo Methods in Physics and Chemistry,' Ed. M.P. Nightingale and C.J. Umrigar (Kluwer Academic Publishers, 1999).