Quantum entanglement in multiparticle systems of two-level atoms

TL;DR

This paper establishes a criterion for detecting quantum entanglement in symmetric pure states of two-level atomic systems, introducing a parameter to quantify entanglement and analyzing quantum fluctuations and correlations.

Contribution

It provides a necessary and sufficient condition for entanglement in symmetric pure states of two-level atoms and introduces a quantification parameter for such entanglement.

Findings

Derived a criterion for entanglement detection

Introduced a parameter to quantify entanglement

Analyzed quantum fluctuations and correlations

Abstract

We propose the necessary and sufficient condition for the presence of quantum entanglement in arbitrary symmetric pure states of two-level atomic systems. We introduce a parameter to quantify quantum entanglement in such systems. We express the inherent quantum fluctuations of a composite system of two-level atoms as a sum of the quantum fluctuations of the individual constituent atoms and their correlation terms. This helps to separate out and study solely the quantum correlations among the atoms and obtain the criterion for the presence of entanglement in such multiatomic systems.