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Coherent, purely-dispersive three-wave mixing systems in optics andsuperconducting microwave circuits can be operated as parametric amplifiers,generating from a pump wave at one frequency amplified signal and idler wavesat lower frequencies. Here we demonstrate the reciprocal process using aJosephson amplifier in which coherently imposed signal and idler beamsup-convert to the pump frequency. For signal and idler beams strong enough tosignificantly deplete the pump, we show that this reciprocal process ("coherentcancellation") leads to large, phase-sensitive modulation and even enhancementof the amplifier gain, in good agreement with theoretical predictions.

Three-wave mixing with three incoming waves: Signal-Idler Coherent Cancellation and Gain Enhancement in a Parametric Amplifier