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

Abstract

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

5 pages, 4 figures. Supplemental Material can be found under ancillary files

References in corpus (7)

• Coherent Perfect Absorbers: Time-reversed Lasers
• A widely tunable parametric amplifier based on a SQUID array resonator
• Quantum back-action of variable-strength measurement
• Generating Entangled Microwave Radiation Over Two Transmission Lines
• Widely tunable, non-degenerate three-wave mixing microwave device operating near the quantum limit
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Cited by in corpus (11)

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• Coherent perfect absorbers: linear control of light with light
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• Parametric resonance of Josephson plasma waves: A theory for optically amplified interlayer superconductivity in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Quantum wave mixing and visualisation of coherent and superposed photonic states in a waveguide
• Hardware-Efficient Bosonic Quantum Error-Correcting Codes Based on Symmetry Operators
• Microwave degenerate parametric down-conversion with a single cyclic three-level system in circuit QED
• Realization of microwave amplification, attenuation, and frequency conversion using a single three-level superconducting quantum circuit
• Kinetic Inductance Parametric Converter
• Controllable microwave three-wave mixing via a single three-level superconducting quantum circuit
• Optimizing the pump coupling for a three-wave mixing Josephson parametric amplifier