Computable Measures for the Entanglement of Indistinguishable Particles

TL;DR

This paper explores operational measures of quantum entanglement in systems of indistinguishable particles, providing analytic tools and relations for quantifying quantum correlations in finite Hilbert spaces.

Contribution

It introduces methods to quantify entanglement in indistinguishable particles using von Neumann entropy, Negativity, and entanglement witnesses, with analytic expressions for specific models.

Findings

Derived relations between different entanglement measures.

Provided analytic formulas for quantum correlations in symmetric Hamiltonian models.

Demonstrated the applicability of these measures to finite-dimensional systems.

Abstract

We discuss particle entanglement in systems of indistinguishable bosons and fermions, in finite Hilbert spaces, with focus on operational measures of quantum correlations. We show how to use von Neumann entropy, Negativity and entanglement witnesses in these cases, proving interesting relations. We obtain analytic expressions to quantify quantum correlations in homogeneous D-dimensional Hamiltonian models with certain symmetries.