Continuous matrix-product states in inhomogeneous systems with long-range interactions

TL;DR

This paper extends the continuous matrix-product states method to inhomogeneous 1D quantum systems with long-range interactions, demonstrating high accuracy on the Calogero-Moser model and analyzing potential approximation errors.

Contribution

It introduces a novel application of continuous matrix-product states to inhomogeneous systems with long-range interactions, including error analysis.

Findings

High accuracy in reproducing ground-state properties

Effective approximation of nonlocal interactions

Potential sources of errors identified

Abstract

We develop the continuous matrix-product states approach for description of inhomogeneous one-dimensional quantum systems with long-range interactions. The method is applied to the exactly-solvable Calogero-Moser model. We show the high accuracy of reproducing the ground-state properties of the many-body system and discuss potential errors that can originate from the approximation of the nonlocal interaction potentials with singularities.