Multiworm algorithm quantum Monte Carlo

TL;DR

This paper reviews the multiworm quantum Monte Carlo algorithm, emphasizing its implementation for calculating N-body correlations, and validates its effectiveness on dipolar bosons in layered traps.

Contribution

It introduces and analyzes the multiworm algorithm for path-integral quantum Monte Carlo, focusing on N-body density matrix computations and demonstrating its application to layered dipolar boson systems.

Findings

The algorithm accurately computes N-body correlations.

Validation on dipolar bosons confirms the method's effectiveness.

The approach handles zero and finite inter-layer hopping scenarios.

Abstract

We review the path-integral quantum Monte Carlo method and discuss its implementation by multiworm algorithms. We analyze in details the features of the algorithms, and focus our attention on the computation of the $N$-body density matrix to study N-body correlations. Finally, we demonstrate the validity of the algorithms on a system of dipolar bosons trapped in a stack of $N$ one-dimensional layers in the case of zero and finite inter-layer hopping.