Strong parametric coupling between two ultra-coherent membrane modes

Abstract

We demonstrate parametric coupling between two modes of a silicon nitride membrane. We achieve the coupling by applying an oscillating voltage to a sharp metal tip that approaches the membrane surface to within a few 100 nm. When the voltage oscillation frequency is equal to the mode frequency difference, the modes exchange energy periodically and much faster than their free energy decay rate. This flexible method can potentially be useful for rapid state control and transfer between modes, and is an important step towards parametric spin sensing experiments with membrane resonators.

arXiv comment5(+7) pages, 4(+3) figures, number in bracket for Supplement

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• Fluctuation instabilities via internal resonance in a multimode membrane as a mechanism for frequency combs
• Beating ringdowns of near-degenerate mechanical resonances
• Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits
• On-chip cavity electro-acoustics using lithium niobate phononic crystal resonators
• Fundamental and second-subharmonic Autler-Townes splitting in classical systems