Quantum Monte Carlo Study on Magnetization Processes

TL;DR

This paper introduces an improved quantum Monte Carlo method combining loop updates and global flips to efficiently study magnetization processes in quantum spin systems, demonstrated on 1D antiferromagnetic models.

Contribution

The paper presents a novel Monte Carlo algorithm that enhances efficiency in simulating magnetization in external fields, overcoming previous update limitations.

Findings

The new method outperforms existing algorithms in efficiency.

Successful application to 1D antiferromagnetic models.

Comparison shows improved performance in external field simulations.

Abstract

A quantum Monte Carlo method combining update of the loop algorithm with the global flip of the world line is proposed as an efficient method to study the magnetization process in an external field, which has been difficult because of inefficiency of the update of the total magnetization. The method is demonstrated in the one dimensional antiferromagnetic Heisenberg model and the trimer model. We attempted various other Monte Carlo algorithms to study systems in the external field and compared their efficiency.