Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action

Recent quantum technology advances have established precise quantum control of various microscopic systems involving optical, microwave, spin, and mechanical degrees of freedom. It is a timely challenge to realize hybrid quantum devices that leverage the full potential of each component. Interfaces based on cryogenic cavity electro-optic systems are particularly promising, due to the direct interaction between microwave and optical fields in the quantum regime. However, low coupling rates and excess back-action from the pump laser have precluded quantum optical control of superconducting circuits. Here we report the coherent control of a microwave cavity mode using laser light in a multimode device at millikelvin temperature with near unity cooperativity, as manifested by the observation of electro-optically induced transparency and absorption due to the electro-optical dynamical back-action. We show that both the stationary and instantaneous pulsed response of the microwave and optical modes comply with the coherent electro-optical interaction and reveal only minuscule amount of excess back-action with an unanticipated time delay. Our demonstration represents a key step to attain full quantum control of microwave circuits using laser light, with possible applications ranging from optical quantum non-demolition measurements of microwave fields beyond the standard quantum limit, optical microwave ground state cooling and squeezing, to quantum transduction, entanglement generation and hybrid quantum networks.