Entanglement dynamics in the dispersive interaction of a trapped ion system with a quantized radiation

In this paper the mode-mode entanglement between trapped ions and cavity fields is investigated in the dispersive regime. We consider a cluster of N ions and investigate the entanglement dynamics in circumstance that both the ions and field initially prepared in squeezed vacuum state. In this case, entanglement is due to the dependence of stark shifts on the ions state of motion manifested as cross-kerr interaction between each ion and the field.