Beating ringdowns of near-degenerate mechanical resonances
arXiv:2211.09636 · doi:10.1103/PhysRevApplied.20.024053
Abstract
Mechanical resonators that possess coupled modes with harmonic frequency relations have recently sparked interest due to their suitability for controllable energy transfer and non-Hermitian dynamics. Here, we show coupling between high Q-factor () resonances with a nearly 1:1 frequency relation in spatially-symmetric microresonators. We develop and demonstrate a method to analyze their dynamical behavior based on the simultaneous and resonant detection of both spectral peaks, and validate this with experimental results. The frequency difference between the peaks modulates their ringdown, and creates a beat pattern in the linear decay. This method applies both to the externally driven and the Brownian motion (thermal) regime, and allows characterization of both linear and nonlinear parameters. The mechanism behind this method renders it broadly applicable to both optical and electrical readout, as well as to different mechanical systems. This will aid studies using near-degenerate mechanical modes, for e.g., optomechanical energy transfer, synchronization and gyroscopic sensors.
References in corpus (17)
- Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir
- Quantum-mechanics free subsystem with mechanical oscillators
- Evading quantum mechanics
- Measuring the knot of non-Hermitian degeneracies and non-commuting braids
- Non-Hermitian chiral phononics through optomechanically-induced squeezing
- Self-organized synchronization of phonon lasers
- Spiderweb nanomechanical resonators via Bayesian optimization: inspired by nature and guided by machine learning
- Observation of back-action cancellation in interferometric and weak force measurements
- Mechanical overtone frequency combs
- Observation of decoherence in a carbon nanotube mechanical resonator
- Nanomechanical resonators with ultra-high- perimeter modes
- Strong parametric coupling between two ultra-coherent membrane modes
- Coherent mechanical noise cancellation and cooperativity competition in optomechanical arrays
- Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance
- Nanomechanical Design Strategy for Single-Mode Optomechanical Measurement
- Ultra-tuning of nonlinear drumhead MEMS resonators by electro-thermoelastic buckling
- Mechanical dissipation by substrate-mode coupling in SiN resonators