Angular trapping of a linear-cavity mirror with an optical torsional spring
arXiv:2110.13507 · doi:10.1103/PhysRevA.106.013514
Abstract
Optomechanical systems have been attracting intensive attention in various physical experiments. With an optomechanical system, the displacement of or the force acting on a mechanical oscillator can be precisely measured by utilizing optical interferometry. As a mechanical oscillator, a suspended mirror is often used in over milligram scale optomechanical systems. However, the tiny suspended mirror in a linear cavity can be unstable in its yaw rotational degree of freedom due to optical radiation pressure. This instability curbs the optical power that the cavity can accumulate in it, and imposes a limitation on the sensitivity. Here, we show that the optical radiation pressure can be used to trap the rotational motion of the suspended mirror without additional active feedback control when the factors of the cavity are negative and one mirror is much heavier than the other one. Furthermore, we demonstrate experimentally the validity of the trapping. We measured the rotational stiffness of a suspended tiny mirror with various intracavity power. The result indicates that the radiation pressure of the laser beam inside the cavity actually works as a positive restoring torque. Moreover, we discuss the feasibility of observing quantum radiation pressure fluctuation with our experimental setup as an application of our trapping configuration.
arXiv comment8 pages, 6 figures
References in corpus (27)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Cavity Optomechanics
- Laser cooling of a nanomechanical oscillator into its quantum ground state
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- A Spin Entanglement Witness for Quantum Gravity
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Internal thermal noise in the LIGO test masses : a direct approach
- Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
- Dark Matter Direct Detection with Accelerometers
- Quantum Superposition of Massive Objects and the Quantization of Gravity
- Laser cooling of a micromechanical membrane to the quantum backaction limit
- Optical dilution and feedback cooling of a gram-scale oscillator to 6.9 mK
- Quantum correlations between the light and kilogram-mass mirrors of LIGO
- A classical channel model for gravitational decoherence
- Searching for Dark Photon Dark Matter with Gravitational Wave Detectors
- A micromechanical proof-of-principle experiment for measuring the gravitational force of milligram masses
- Quantum correlation of light mediated by gravity
- Measurement of Thermal Noise in Multilayer Coatings with Optimized Layer Thickness
- Ultralight dark matter detection with mechanical quantum sensors
- Demonstration of displacement sensing of a mg-scale pendulum for mm- and mg- scale gravity measurements
- Atto-Nm Torque Sensing with a Macroscopic Optomechanical Torsion Pendulum
- Quantum sensing with milligram scale optomechanical systems
- 5-mg suspended mirror driven by measurement-induced back-action
- Quantum nondemolition measurement of optical field fluctuations by optomechanical interaction
- Observation of photo-thermal feed-back in a stable dual-carrier optical spring
- An optically trapped mirror for reaching the standard quantum limit
- Angular instability in high optical power suspended cavities