Ground state of many-body lattice systems via a central limit theorem

TL;DR

This paper presents a new probabilistic method, leveraging a central limit theorem, to evaluate the ground-state properties of many-body lattice systems, offering a potentially more accurate and efficient approach.

Contribution

It introduces a novel approach using an exact probabilistic representation and a central limit theorem to analyze ground states of many-body lattice systems.

Findings

Effective approximation of ground-state properties

Detailed analysis of asymptotic density probability

Potential improvements over existing methods

Abstract

We review a novel approach to evaluate the ground-state properties of many-body lattice systems based on an exact probabilistic representation of the dynamics and its long time approximation via a central limit theorem. The choice of the asymptotic density probability used in the calculation is discussed in detail.