Hartree-Fock Approximation and Entanglement

TL;DR

This paper analytically explores the relationship between correlation energy and entanglement in quantum models, revealing they are not directly proportional even at weak couplings, with comparisons to the Ising model.

Contribution

It provides an analytical construction of the correlation energy-entanglement relation for specific quantum models, highlighting their non-proportionality.

Findings

Correlation energy and entanglement are not proportional at small couplings.

Analytical relations are derived for the Moshinsky's model.

Comparison with the 2-point Ising model shows similar non-proportionality.

Abstract

The relation between the correlation energy and the entanglement is analytically constructed for the Moshinsky's model of two coupled harmonic oscillators. It turns out that the two quantities are far to be proportional, even at very small couplings. A comparison is made also with the 2-point Ising model.