Genuinely entangling uncorrelated atoms via Jaynes-Cummings interactions

TL;DR

This paper explores how three atoms, initially uncorrelated, can become genuinely entangled through Jaynes-Cummings interactions, highlighting the importance of cavity entanglement and classical correlations in the process.

Contribution

It demonstrates conditions under which uncorrelated atoms can achieve genuine multipartite entanglement via JC interactions, emphasizing the role of cavity entanglement.

Findings

Genuine entanglement requires cavities sharing quantum, not classical, correlations.

Highly entangled cavities can induce multipartite entanglement among atoms.

The proposed method is feasible with current experimental setups.

Abstract

We study three independent pairs of Jaynes-Cummings systems such that two atoms might be correlated with each other but the third atom is uncorrelated with rest. We investigate the conditions under which these uncorrelated three atoms may become genuinely entangled. We find that this task is impossible if the cavity interacting with uncorrelated atom share classical correlations with any other cavity. We observe that atomic state can become genuine multipartite entangled, at least if the cavity with uncorrelated atom, is highly entangled with any other cavity. This is an interesting and non-trivial observation and may serve as another technique to generate multipartite entangled atoms via JC-interactions. The findings can be realized with available experimental setups.