Exploring quantum non-locality with de Broglie-Bohm trajectories

TL;DR

This paper investigates how quantum nonlocality influences the probability distributions of quantum trajectories, introducing an optimal nonlocal correlation length that improves trajectory modeling of many-body quantum systems.

Contribution

It demonstrates the existence of an optimal nonlocal quantum correlation length that minimizes energy and trajectory error in helium atom simulations.

Findings

Optimal nonlocal correlation length reduces energy in helium

Trajectory ensemble closely matches exact wave function

Method applicable to static and driven quantum systems

Abstract

Here in this paper, it is shown how the quantum nonlocality reshapes probability distributions of quantum trajectories in configuration space. By variationally minimizing the ground state energy of helium atom we show that there exists an optimal nonlocal quantum correlation length which also minimizes the mean integrated square error of the smooth trajectory ensemble with respect to the exact many-body wave function. The nonlocal quantum correlation length can be used for studies of both static and driven many-body quantum systems.