Universal SSE algorithm for Heisenberg model and Bose Hubbard model with interaction

TL;DR

This paper introduces a universal stochastic series expansion (SSE) algorithm applicable to Heisenberg and Bose Hubbard models, enabling efficient simulations and addressing critical slowing down.

Contribution

The authors develop a universal SSE method for both models and demonstrate its efficiency and effectiveness through new calculations of interacting soft-core bosons.

Findings

Efficiently simulates Heisenberg and Bose Hubbard models with arbitrary spin and interaction.

First calculations of soft-core bosons with interaction using SSE.

Significantly reduces critical slowing down in simulations.

Abstract

We propose universal SSE method for simulation of Heisenberg model with arbitrary spin and Bose Hubbard model with interaction. We report on the first calculations of soft-core bosons with interaction by the SSE method. Moreover we develop a simple procedure for increase efficiency of the algorithm. From calculation of integrated autocorrelation times we conclude that the method is efficient for both models and essentially eliminates the critical slowing down problem.