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We present protocols for creating entangled states of two modes of theelectromagnetic field, by using a beam of atoms crossing microwave resonators.The atoms are driven by a transverse, classical field and pump correlatedphotons into (i) two modes of a cavity and (ii) the modes of two distantcavities. The protocols are based on a stochastic dynamics, characterized byrandom arrival times of the atoms and by random interaction times between atomsand cavity modes. The resulting effective model yields a master equation, whosesteady state is an entangled state of the cavity modes. In this respect, theatoms act like a quantum reservoir, pulling the cavity modes into an entangled,Einstein-Podolski-Rosen (EPR) state, whose degree of entanglement is controlledby the intensity and the frequency of the transverse field. This scheme isrobust against stochastic fluctuations in the atomic beam, and it does notrequire atomic detection nor velocity selection.

Engineering Atomic Quantum Reservoirs for Photons