Particle partitioning entanglement in itinerant many-particle systems

TL;DR

This paper investigates particle entanglement in itinerant fermionic and bosonic systems, revealing a structure similar to the area law and exploring its properties through simple models.

Contribution

It introduces a general framework for understanding particle entanglement in many-fermion ground states, analogous to spatial entanglement laws.

Findings

Particle entanglement follows an area law in many-fermion ground states.

Basic properties of particle entanglement are characterized in simple itinerant models.

The study provides a foundation for understanding entanglement between particles in itinerant systems.

Abstract

For itinerant fermionic and bosonic systems, we study `particle entanglement', defined as the entanglement between two subsets of particles making up the system. We formulate the general structure of particle entanglement in many-fermion ground states, analogous to the `area law' for the more usually studied entanglement between spatial regions. Basic properties of particle entanglement are uncovered by considering relatively simple itinerant models.