Entanglement behavior of quantum states of fermionic system in accelerated frame

TL;DR

This paper studies how entanglement in fermionic quantum states behaves under acceleration, using a new approach beyond the single mode approximation, and confirms the approach's effectiveness in capturing correct entanglement properties.

Contribution

It applies the Montero and Martín-Martínez approach beyond single mode approximation to analyze fermionic entanglement in accelerated frames, clarifying previous conflicting opinions.

Findings

Entanglement persists in fermionic states even at infinite acceleration.

The approach by Montero and Martín-Martínez accurately captures entanglement behavior.

The results correct previous findings in the literature.

Abstract

In this article we investigate the entanglement behavior of quantum states of fermionic system in accelerated frame. It was known that unlike scalar case the entanglement of fermionic maximally entangled states survives even in the infinite acceleration limit. Also for the fermionic system it was discussed that one may consider the approach beyond single mode approximation. However due to the peculiar property of fermionic system there has been different opinions about correct physical structure of fermionic system. Recently Montero and Mart\'{i}n-Mart\'{i}nez suggested an approach beyond single mode approximation. Using the structure proposed by Montero and Mart\'{i}n-Mart\'{i}nez we investigate the entanglement behavior of quantum states of fermionic system in accelerated frame. We find that the approach by Montero and Mart\'{i}n-Mart\'{i}nez seems to work appropriately. Also we may obtain the proper entanglement behavior of quantum states in fermionic system in accelerated frame(our result may correct the previous results published in Phys.Rev.A 83 052306).