Entanglement sharing in $E\otimes\epsilon$ Jahn-Teller model in the presence of a magnetic field

TL;DR

This paper investigates how a strong magnetic field influences ground state entanglement in the $E ightarrow ext{ extepsilon}$ Jahn-Teller model, revealing significant three-partite entanglement near a classical bifurcation point.

Contribution

It provides a detailed analysis of entanglement sharing in a qubit coupled to two bosonic modes under a magnetic field, highlighting the presence of three-partite entanglement.

Findings

Three-partite entanglement is prominent near the bifurcation point.

Entanglement sharing is characterized using residual I-tangle.

Ground state entanglement varies with vibronic coupling strength.

Abstract

We discuss the ground state entanglement of the $E\otimes\epsilon$ Jahn-Teller model in the presence of a strong transverse magnetic field as a function of the vibronic coupling strength. A complete characterization is given of the phenomenon of entanglement sharing in a system composed by a qubit coupled to two bosonic modes. Using the residual $I$-tangle, we find that three-partite entanglement is significantly present in the system in the parameter region near the bifurcation point of the corresponding classical model.