Entangling mesoscopic squeezed vacuum states and Fock states in dissipative cavity QED system

A scheme is proposed for generating the mesoscopic entanglement between the mesoscopic squeezed vacuum states and Fock states {|0 >,|2 >} by considering both the two-photon interaction of N two-level atoms in cavities with high quality factor assisted by a strong driving field. Moreover, we derive the dissipative interaction models for two-photon interaction. The corresponding analytical expressions of the fidelities can be given. Our scheme can be realized in the current techniques on the cavity QED.