Multiple Histogram Method for Quantum Monte Carlo

TL;DR

This paper extends the multiple-histogram method for quantum Monte Carlo simulations, enabling continuous parameter measurements with reduced errors, thus facilitating complex analyses like phase separation in quantum systems.

Contribution

The paper introduces an extension of the multiple-histogram method tailored for quantum Monte Carlo, improving measurement continuity and accuracy across parameter ranges.

Findings

Effective in 2D Hubbard model simulations

Reduces error bars over parameter ranges

Enables complex measurements like Maxwell constructions

Abstract

An extension to the multiple-histogram method (sometimes referred to as the Ferrenberg-Swendsen method) for use in quantum Monte Carlo simulations is presented. This method is shown to work well for the 2D repulsive Hubbard model, allowing measurements to be taken over a continuous region of parameters. The method also reduces the error bars over the range of parameter values due the overlapping of multiple histograms. A continuous sweep of parameters and reduced error bars allow one to make more difficult measurements, such as Maxwell constructions used to study phase separation. Possibilities also exist for this method to be used for other quantum systems.