Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods

TL;DR

This paper provides extensive benchmarks of inchworm Monte Carlo methods for the spin-boson model, comparing their accuracy and convergence to other exact approaches in non-adiabatic quantum dynamics.

Contribution

It offers a comprehensive comparison of inchworm Monte Carlo expansions with established methods, highlighting their advantages and limitations.

Findings

Inchworm Monte Carlo shows competitive accuracy for non-adiabatic dynamics.

Convergence behavior and error propagation are thoroughly analyzed.

The method's benefits and drawbacks are systematically discussed.

Abstract

In this second paper of a two part series, we present extensive benchmark results for two different inchworm Monte Carlo expansions for the spin-boson model. Our results are compared to previously developed numerically exact approaches for this problem. A detailed discussion of convergence and error propagation is presented. Our results and analysis allow for an understanding of the benefits and drawbacks of inchworm Monte Carlo compared to other approaches for exact real-time non-adiabatic quantum dynamics.