Segre maps and entanglement for multipartite systems of indistinguishable particles

TL;DR

This paper explores the concept of entanglement in multipartite quantum systems with indistinguishable particles, using generalized Segre maps to provide a geometric perspective on algebraic entanglement characterization.

Contribution

It introduces a geometric framework for understanding entanglement in systems with bosons, fermions, and particles with arbitrary parastatistics, expanding the algebraic approach.

Findings

Generalized Segre maps effectively characterize entanglement in multipartite systems.

The approach applies to systems with various particle statistics, including bosons and fermions.

Provides a new geometric perspective complementing existing algebraic methods.

Abstract

We elaborate the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. The entanglement is characterized in terms of generalized Segre maps, supplementing thus an algebraic approach to the problem by a more geometric point of view.