Spin and occupation number entanglement of Dirac fields for non-inertial observers

TL;DR

This paper explores how the Unruh effect influences entanglement in Dirac fields with spin, revealing that acceleration can transform entanglement structures and cause greater degradation than in spinless scenarios.

Contribution

It introduces a detailed analysis of spin and occupation number entanglement under acceleration, including a method to erase spin information and compare entanglement degradation.

Findings

Entanglement depends on acceleration for spin Bell states.

Acceleration can transform qubit states into qu4it states.

Greater entanglement degradation occurs with spin compared to spinless cases.

Abstract

We investigate the Unruh effect on entanglement taking into account the spin degree of freedom of the Dirac field. We analyze spin Bell states in this setting, obtaining their entanglement dependance on the acceleration of one of the partners. Then, we consider simple analogs to the occupation number entangled state |00>+|11>, but with spin quantum numbers for |11> showing that, despite their apparent similitude, while the spinless case is always qubit x qubit, for the spin case acceleration produces a qubit x qu4it state. We also introduce a procedure to consistently erase the spin information from our setting preserving occupation numbers. We show how the maximally entangled state for occupation number emerges from our setting, we also analyze its entanglement dependance on acceleration, obtaining a greater entanglement degradation than in the spinless case.