Nonclassical lasing in circuit quantum electrodynamics

In this work we keep exploiting the implementation of the Rabi Hamiltonian in superconducting technologies, and propose a biperiodic driving of the qubit gap Ĥ_d(t) = Σ²_j=1 ħΩ_jη_jcos(Ω_jt)σ̂z, with Ω_j and η_j real and positive, to dissipatively drive the cavity field into a squeezed state, or an entangled state if more than one cavity mode is considered. Such a driving term is easily implementable in superconducting qubits, whose gap can be modified at real time via external fields.