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We describe a scheme for the efficient generation of microwave photon pairsby parametric downconversion in a superconducting transmission line resonatorcoupled to a Cooper pair box serving as an artificial atom. By properly tuningthe first three levels with respect to the cavity modes, the down-conversionprobability may become higher than in the most efficient schemes for opticalphotons. We show this by numerically simulating the dissipative quantumdynamics of the coupled cavity-box system and discuss the effects of dephasingand relaxation. The setup analyzed here might form the basis for a futureon-chip source of entangled microwave photons.Comment: 5 pages, 5 figure

Efficient on-chip source of microwave photon pairs in superconducting circuit QED