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Europhysics Letters (EPL)

Parametric coupling between a nanomechanical resonator and a superconducting microwave cavity

Cheng Jiang, Jinjin Li, Wei Jian He, Ka-Di Zhu

Published Sep 1, 2010• 3 citations
Publisher

Abstract

We theoretically study a driven nanomechanical resonator capacitively coupled to a superconducting microwave cavity and present a feasible way to measure the coupling strength between them in terms of the coupling-induced normal-mode splitting. The probe spectrum exhibits two sharp sideband peaks exactly located at the resonance frequency of the nanomechanical resonator, which provides us an exact way to determine the resonance frequency of the nanomechanical resonator. Our results may have a variety of potential applications such as quantum transducer and quantum information processing.

DOI
10.1209/0295-5075/91/58002

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We theoretically study a driven nanomechanical resonator capacitively coupled to a superconducting microwave cavity and present a feasible way to measure the coupling strength between them in terms of the coupling-induced normal-mode splitting. The probe spectrum exhibits two sharp sideband peaks exactly located at the resonance frequency of the nanomechanical resonator, which provides us an exact way to determine the resonance frequency of the nanomechanical resonator. Our results may have a variety of potential applications such as quantum transducer and quantum information processing.
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We study a parametrically driven nanomechanical resonator capacitively coupled to a microwave cavity. If the nanoresonator can be cooled to near its quantum ground state then quantum squeezing of a quadrature of the nanoresonator motion becomes feasible. We consider the adiabatic limit in which the cavity mode is slaved to the nanoresonator mode. By driving the cavity on its red-detuned sideband, the squeezing can be coupled into the microwave field at the cavity resonance. The red-detuned sideband drive is also compatible with the goal of ground state cooling. Squeezing of the output microwave field may be inferred using a technique similar to that used to infer squeezing of the field produced by a Josephson parametric amplifier, and subsequently, squeezing of the nanoresonator motion may be inferred. We have calculated the output field microwave squeezing spectra and related this to squeezing of the nanoresonator motion, both at zero and finite temperature. Driving the cavity on the blue-detuned sideband, and on both the blue and red sidebands, have also been considered within the same formalism.
There has recently been a surge of interest in the study of mechanical systems near the quantum limit. Such experiments are motivated by both fundamental interest in studying quantum mechanics with macroscopic engineered systems and potential applications as ultra‐sensitive transducers, or even in quantum information processing. A particularly promising system is a microwave cavity optomechanical system, in which a nanomechanical resonator is embedded within (and capacitively coupled to) a superconducting microwave cavity. Here we discuss two schemes for the generation and measurement of quantum states of the nanomechanical resonator. A quantum squeezed state may be generated via mechanical parametric amplification, while a number state may be conditionally generated via continuous measurement and feedback control mediated by a superconducting qubit.