The tangle of the Lambda-type three levels atoms and the two-mode cavity field

A system comprising Lambda-type three level atoms and the two-mode Fock cavity field is considered in this paper. Under the adiabatical approximation and the large detuning condition, the effective Hamiltonian of the system in the interaction picture can be given out. If the two identical three level atoms pass through the cavity in turn, the entangled state atoms can be generated. When the interaction time is taken to an appropriate value, the maximally entangled states are created. On the same time, the tangles for the multipartite of the system are studied in detail.