  We consider first a system of two enatangled cavities and a single two-level
atom passing through one of them. A ``monogamy'' inequality for this tripartite
system is quantitatively studied and verified in the presence of cavity
leakage. We next consider the simultaneous passage of two-level atoms through
both the cavities. Entanglement swapping is observed between the two-cavity and
the two-atom system. Cavity dissipation leads to the quantitative reduction of
information transfer though preserving the basic swapping property.
