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Hybrid interactions between light and two-level systems and their nonlinearnature are crucial components of advanced quantum information processing andquantum networks. Rabi interaction exhibits the hybrid nonlinear nature, butits implementation is challenging at optical frequencies where the rotatingwave approximation (RWA) is valid. Here, we propose a setup to conditionallyinduce Rabi interaction between discrete variable and continuous variable oftraveling beams of light. We show that our scheme can generate Rabi interactionon weak states of light, where signatures of the nonlinear quantum effects arepreserved for typical experimental losses. These results prove that a hybridRabi interaction can be realized in all-optical setups, and open a way toexperimental investigations of nonlinear quantum optics beyond RWA.

Hybrid Rabi interaction with traveling states of light