Abstract

Cavity optomechanics is a tool to study the interaction between light and micromechanical motion. Here we observe optomechanical physics in a truly macroscopic oscillator close to the quantum ground state. As the mechanical system, we use a mm-sized piezoelectric quartz disk oscillator. Its motion is coupled to a charge qubit which translates the piezo-induced charge into an effective radiation–pressure interaction between the disk and a microwave cavity. We measure the thermal motion of the lowest mechanical shear mode at 7 MHz down to 30 mK, corresponding to roughly 102 quanta in a 20 mg oscillator. We estimate that with realistic parameters, it is possible to utilize the back-action cooling by the qubit in order to control macroscopic motion by a single Cooper pair. The work opens up opportunities for macroscopic quantum experiments.

Highlights

  • Small but macroscopic systems have been operated in the limit where they exhibit quantum mechanical behavior in some of their degrees of freedom

  • Detection of piezo thermal motion The benchmark of cavity optomechanics is the measurement of the motional sidebands due to thermally excited vibrations

  • Monolithic quartz oscillators are a promising platform for physical experiments

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Summary

Introduction

Small but macroscopic systems have been operated in the limit where they exhibit quantum mechanical behavior in some of their degrees of freedom. We propose and demonstrate a new cavity optomechanical scheme which involves a genuinely macroscopic mechanical oscillator relatively near the ground state (see figure 1). The quartz disk is used both as the mechanical oscillator, and as a substrate for fabricating a superconducting micro circuit The latter includes a charge qubit and a transmission line resonator. The work is based on a generic idea where a quantum two-level system, a qubit, mediates and enhances an interaction between a linear mechanical oscillator and a linear cavity. In a recent theory proposal [29], a related system was introduced where a coupling between a transmon qubit and piezo vibrations was mediated via a low-frequency cavity, but the optomechanical aspect was not considered

The optomechanical system
Optimizing device parameters
30 GPa and r
90 Hz 530 Hz 18 kHz
Experimental results
Basic characterization
= 140 design
Experimental prospects
Parametric coupling
Qubit-mediated effective parametric coupling
Conclusions
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