Fermion Monte Carlo algorithms and liquidHe3

Abstract

Variational Monte Carlo and several many-fermion Green’s-function Monte Carlo (GFMC) algorithms are used to study the ground state of liquid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$. We report the first mirror potential GFMC calculations in a many-fermion problem, comparing them with transient estimation and fixed-node studies to illustrate the strengths and weaknesses of each. GFMC results with the Aziz HFDHE2 interaction are in good agreement with experiment, yielding energies within approximately 0.1 K per particle. In addition, each of these calculations predict a kinetic energy per particle of between 12 and 12.5 K.