Entanglement robustness and geometry in systems of identical particles

TL;DR

This paper investigates the stability and geometric structure of bipartite entanglement in systems of identical bosons, revealing that their entanglement is generally more robust than in distinguishable particles.

Contribution

It introduces a framework based on commuting algebras for analyzing entanglement in identical particles and provides explicit expressions for robustness measures.

Findings

Entanglement in boson systems is more stable than in distinguishable particles.

Explicit formulas for robustness and generalized robustness of entanglement.

Analysis of the geometric structure of boson state space.

Abstract

The robustness properties of bipartite entanglement in systems of N bosons distributed in M different modes are analyzed using a definition of separability based on commuting algebras of observables, a natural choice when dealing with identical particles. Within this framework, expressions for the robustness and generalized robustness of entanglement can be explicitly given for large classes of boson states: their entanglement content results in general much more stable than that of distinguishable particles states. Using these results, the geometrical structure of the space of N boson states can be explicitly addressed.