Abstract

We present the development of a high-Q monolithic silica pendulum weighing 7milligram. The measured Q value for the pendulum mode at 2.2Hz was 2.0×10^{6}. To the best of our knowledge this is the lowest dissipative milligram-scale mechanical oscillator to date. By employing this suspension system, the optomechanical displacement sensor for gravity measurements we recently reported in Matsumoto et al. [Phys. Rev. Lett. 122, 071101 (2019)PRLTAO0031-900710.1103/PhysRevLett.122.071101] can be improved to realize quantum-noise-limited sensing at several hundred hertz. In combination with the optical spring effect, the amount of intrinsic dissipation measured in the pendulum mode is enough to satisfy requirements for measurement-based quantum control of a massive pendulum confined in an optical potential. This paves the way for not only testing dark matter via quantum-limited force sensors, but also Newtonian interaction in quantum regimes, namely, between two milligram-scale oscillators in quantum states, as well as improving the sensitivity of gravitational-wave detectors.

Highlights

  • To the best of our knowledge this is the lowest dissipative milligram-scale mechanical oscillator to date. By employing this suspension system, the optomechanical displacement sensor for gravity measurements we recently reported in Matsumoto et al [Phys

  • In combination with the optical spring effect, the amount of intrinsic dissipation measured in the pendulum mode is enough to satisfy requirements for measurement-based quantum control of a massive pendulum confined in an optical potential

  • Introduction.—The development of quantum-limited displacement sensors of macroscopic mechanical oscillators is a key component for the direct measurement and investigation of macroscopic quantum mechanics [1], the quantum nature of Newtonian interaction [2,3], direct detection of dark matter by looking at fifth forces [4,5], continuous spontaneous localization (CSL) models [6], and gravitational-wave (GW) astronomy [7]

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Summary

Introduction

Introduction.—The development of quantum-limited displacement sensors of macroscopic mechanical oscillators is a key component for the direct measurement and investigation of macroscopic quantum mechanics [1], the quantum nature of Newtonian interaction [2,3], direct detection of dark matter by looking at fifth forces [4,5], continuous spontaneous localization (CSL) models [6], and gravitational-wave (GW) astronomy [7]. High-Q Milligram-Scale Monolithic Pendulum for Quantum-Limited Gravity Measurements

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