Entanglement control in coupled two-mode boson systems

A two-mode boson model, widely used for the physics of fast rotating nuclei and Bose-Einstein condensates, is studied in the context of entanglement control. We derive an analytical expression for the entanglement between the fields in this model as a function of time. We found that depending on the interaction strengths between boson modes and the nature of the initial boson states the dynamical evolution of the entanglement and the squeezing can occur independently.