  We present an experimental feasible scheme to synthesize two-mode
continuous-variable entangled states of two superconducting resonators that are
interconnected by two gap-tunable superconducting qubits. We show that, with
each artificial atom suitably driven by a bichromatic microwave field to induce
sidebands in the qubit-resonator coupling, the stationary state of the photon
fields in the two resonators can be cooled and steered into a two-mode squeezed
vacuum state via a dissipative quantum dynamical process, while the
superconducting qubits remain in their ground states. In this scheme the qubit
decay plays a positive role and can help drive the system to the target state,
which thus converts a detrimental source of noise into a resource.
