Density of states determined from Monte Carlo simulations

TL;DR

This paper presents a Monte Carlo-based method for calculating the density of states, revealing critical properties and enabling the computation of conformal charge, offering an alternative to transfer matrix techniques.

Contribution

It introduces a novel Monte Carlo approach to determine the density of states from multiple canonical runs, applicable to various phase transitions.

Findings

Method successfully reveals critical properties in $g(\epsilon)$

Applicable to different phase transitions

Enables calculation of conformal charge

Abstract

We describe method for calculating the density of states by combining several canonical monte carlo runs. We discuss how critical properties reveal themselves in $g(\epsilon)$ and demonstrate this by applying the method several different phase transitions. We also demonstrate how this can used to calculate the conformal charge, where the dominating numerical method has traditionally been transfer matrix.