Constructing Tripartite entangled coherent states via non-localization the related Lie algebras

We propose a scheme for constructing tripartite entangled coherent states between two atoms and an interacting bosonic field mode by non-localizing the respective Lie algebras of atoms and field. It is observed that, due to the non-localized natures of the associated raising and lowering operators, the constructed coherent state becomes entangled.