Entanglement between particle partitions in itinerant many-particle states

TL;DR

This paper reviews the concept of particle partitioning entanglement in itinerant many-particle quantum systems, highlighting its general features, structure, and behavior across various models including fermionic, anyonic, and quantum Hall states.

Contribution

It introduces a comprehensive framework for understanding particle entanglement in itinerant systems and extends the analogy of the area law to particle partitions.

Findings

Particle entanglement exhibits universal features across different itinerant models.

Ground states of many-fermion systems show a structured form of particle entanglement.

Complex quantum states like anyonic and quantum Hall states display distinctive particle entanglement properties.

Abstract

We review `particle partitioning entanglement' for itinerant many-particle systems. This is defined as the entanglement between two subsets of particles making up the system. We identify generic features and mechanisms of particle entanglement that are valid over whole classes of itinerant quantum systems. 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 first elucidated by considering relatively simple itinerant models. We then review particle-partitioning entanglement in quantum states with more intricate physics, such as anyonic models and quantum Hall states.