Adaptive Optimization of Wave Functions for Fermion Lattice Models

TL;DR

This paper introduces an adaptive Monte Carlo method that optimizes trial wave functions in fermion lattice models, enabling precise ground state property measurements through systematic error analysis and parameter extrapolation.

Contribution

It presents a novel adaptive optimization algorithm for wave functions in fermion lattice models, improving accuracy in ground state studies.

Findings

Effective wave function optimization during Monte Carlo simulations.

Accurate ground state measurements achieved via parameter extrapolation.

Systematic errors can be controlled and minimized.

Abstract

We present a simulation algorithm for Hamiltonian fermion lattice models. A guiding trial wave function is adaptively optimized during Monte Carlo evolution. We apply the method to the two dimensional Gross-Neveu model and analyze systematc errors in the study of ground state properties. We show that accurate measurements can be achieved by a proper extrapolation in the algorithm free parameters.