Relativistic quantum entanglement in a bipartite charged scalar system

TL;DR

This paper investigates how relativistic effects influence quantum entanglement in a bipartite system of charged scalar mesons, revealing that relativistic regimes exhibit entanglement while non-relativistic regimes can be separable.

Contribution

It provides a rigorous comparison between relativistic and non-relativistic entanglement in charged scalar systems, establishing conditions for entanglement based on relativistic effects.

Findings

Relativistic regime shows entanglement in charged scalar mesons.

Non-relativistic limit can be separable, lacking entanglement.

Theorem proving entanglement dependence on relativistic effects.

Abstract

Continuous variable entanglement in a system of two interacting charged scalar mesons is studied. The mesons mutual interaction is mediated by a central symmetric Coulomb potential. We work out the difference between relativistic and non-relativistic limits on the basis of the continuous variable separability criteria and prove rigorously the following theorem for our system: While a bipartite charged scalar mesonic quantum system with centrally symmetric interaction is entangled in the relativistic regime, its non-relativistic counterpart can be separable with non entanglement.