Quantum Entanglement of Fermionic Local Operators

TL;DR

This paper investigates how local operators affect entanglement entropy in four-dimensional free massless fermionic theories, revealing spin-dependent behaviors and quasi-particle interpretations of entanglement dynamics.

Contribution

It provides a detailed analysis of the time evolution of entanglement entropies for locally excited states in fermionic field theories, highlighting spin dependence and quasi-particle interpretations.

Findings

Excess entanglement entropy approaches a constant for half-space subsystems.

Entanglement dynamics depend on the spin of local operators.

Quasi-particle picture explains the entanglement evolution.

Abstract

In this paper we study the time evolution of (Renyi) entanglement entropies for locally excited states in four dimensional free massless fermionic field theory. Locally excited states are defined by being acted by various local operators on the ground state. Their excesses are defined by subtracting (Renyi) entanglement entropy for the ground state from those for locally excited states. They finally approach some constant if the subsystem is given by half of the total space. They have spin dependence. They can be interpreted in terms of quasi-particles.