Cubic singularities in binary linear electromechanical oscillators

Abstract

Singularities arise in diverse disciplines and play a key role in both exploring fundamental laws of physics and making highly-sensitive sensors. Higher-order (>3) singularities, with further improved performance, however, usually require exquisite tuning of multiple (>3) coupled degrees of freedom or nonlinear control, thus severely limiting their applications in practice. Here we propose theoretically and confirm using mechanics experiments that, cubic singularities can be realized in a coupled binary system without any nonlinearity, only by observing the phase tomography of the driven response. By steering the cubic phase-tomographic singularities in an electrostatically-tunable micromechanical system, enhanced cubic-root response to frequency perturbation and voltage-controlled nonreciprocity are demonstrated. Our work opens up a new phase-tomographic method for interacted-system research and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with a wide range of applications including precision metrology, portable nonreciprocal devices, and on-chip mechanical computing.

References in corpus (10)

• Observation of strong coupling between a micromechanical resonator and an optical cavity field
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
• Mesoscopic physics of nanomechanical systems
• Non-Hermitian chiral phononics through optomechanically-induced squeezing
• Observation of Chiral State Transfer Without Encircling an Exceptional Point
• Optimal operating points of oscillators using nonlinear resonators
• Spatial modulation of nonlinear flexural vibrations of membrane resonators
• Supernarrow spectral peaks near a kinetic phase transition in a driven, nonlinear micromechanical oscillator
• Direct Geometric Probe of Singularities in Band Structure

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• Toward Memristor-like Resonant Sensors: Observation of Pinched Hysteresis within MEMS Resonators
• Highly sensitive temperature sensing via quadratic optomechanical coupling
• Entanglement generation across exceptional points in two-qubit open quantum system -- the role of initial states
• Cusp-singularity-enhanced Coriolis effect for ultrasensitive chip-scale gyroscopes