Zonal estimators for quasiperiodic bosonic many-body phases

TL;DR

This paper introduces zonal estimators for path-integral Monte Carlo methods to analyze inhomogeneous bosonic systems, demonstrated on trapped quasiperiodic bosons, with potential extensions to various complex quantum systems.

Contribution

It presents a novel class of zonal estimators tailored for inhomogeneous quantum many-body systems, enhancing the analysis of local properties in Monte Carlo simulations.

Findings

Effective estimation of local properties in inhomogeneous systems

Application to quasiperiodic bosons shows detailed finite temperature behavior

Potential for extending to systems with spin and nonlocal interactions

Abstract

In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems.We demonstrate the usefulness of zonal estimators by their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of values of the potential. Finally, we comment on the generalization of such estimators to local fluctuations of the particle numbers and to magnetic ordering in multi-component systems, spin systems, and systems with nonlocal interactions.