Tuning the nonlinear dispersive coupling of nanomechanical string resonators

Gajo, Katrin; Rastelli, Gianluca; Weig, Eva M.

doi:10.1103/physrevb.101.075420

Cited by 10 publications

(3 citation statements)

References 14 publications

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“…From fitting, we extract the effective Duffing constant, β hyb s , for example, for the hybrid mode 2′ to be β hyb2 s = 8.0(±0.8) × 10 21 N/m 3 (see SI). This is one of the highest measured Duffing constants, − which is orders of magnitude larger than graphene’s reported values. , …”

Section: Nonlinear Response Of Graphene–silicon Nitride Hybridmentioning

confidence: 64%

Giant Tunable Mechanical Nonlinearity in Graphene–Silicon Nitride Hybrid Resonator

et al. 2020

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High quality factor mechanical resonators have shown great promise in the development of classical and quantum technologies. Simultaneously, progress has been made in developing controlled mechanical nonlinearity. Here, we combine these two directions of progress in a single platform consisting of coupled silicon nitride (SiNx) and graphene mechanical resonators. We show that nonlinear response can be induced on a large area SiNx resonator mode and can be efficiently controlled by coupling it to a gate-tunable, freely suspended graphene mode. The induced nonlinear response of the hybrid modes, as measured on the SiNx resonator surface is giant, with one of the highest measured Duffing constants. We observe a novel phononic frequency comb which we use as an alternate validation of the measured values, along with numerical simulations which are in overall agreement with the measurements.

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Section: Nonlinear Response Of Graphene–silicon Nitride Hybridmentioning

confidence: 64%

Giant Tunable Mechanical Nonlinearity in Graphene–Silicon Nitride Hybrid Resonator

et al. 2020

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“…( 4). However, the displacement-to-voltage conversion factor of our read-out apparatus at 2f 0 does not coincide with the calibrated one at f 0 [32], such that β (V) cannot be directly extracted from the data.…”

Section: Resultsmentioning

confidence: 84%

Resonant nonlinear response of a nanomechanical system with broken symmetry

Ochs,

Rastelli,

Seitner

et al. 2021

Preprint

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We study the response of a weakly damped vibrational mode of a nanostring resonator to a moderately strong resonant driving force. Because of the geometry of the experiment, the studied flexural vibrations lack inversion symmetry. As we show, this leads to a nontrivial dependence of the vibration amplitude on the force parameters. For a comparatively weak force, the response has the familiar Duffing form, but for a somewhat stronger force, it becomes significantly different. Concurrently there emerge vibrations at twice the drive frequency, a signature of the broken symmetry. Their amplitude and phase allow us to establish the cubic nonlinearity of the potential of the mode as the mechanism responsible for both observations. The developed theory goes beyond the standard rotating-wave approximation. It quantitatively describes the experiment and allows us to determine the nonlinearity parameters.

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“…Introduction.-Mechanical and acoustic resonators with low dissipation have become pivotal elements in many applications such as weak mass and force detection [1][2][3][4][5][6], timing and frequency control [7,8], and frequency conversion [9][10][11][12][13][14][15]. Recent investigations of the nonlinear behaviors in mechanical resonators [16][17][18], especially at nano-/micro-scales, have attracted great attentions for their potential in novel device functionality; by exploiting the mechanical nonlinearity, parametric amplification [19], frequency tuning [20], and frequency stabilization [21] have been realized.…”

mentioning

confidence: 99%

Superconducting cavity piezo-electromechanics: the realization of an acoustic frequency comb at microwave frequencies

Han¹,

Zou²,

Fu³

et al. 2022

Preprint

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We present a nonlinear multimode superconducting electroacoustic system, where the interplay between superconducting kinetic inductance and piezoelectric strong coupling establishes an effective Kerr nonlinearity among multiple acoustic modes at 10 GHz that could hardly be achieved via intrinsic mechanical nonlinearity. By exciting this multimode Kerr system with a single microwave tone, we further demonstrate a coherent electroacoustic frequency comb and provide theoretical understanding of multimode nonlinear interaction in the superstrong coupling limit. This nonlinear superconducting electroacoustic system sheds light on the active control of multimode resonator systems and offers an enabling platform for the dynamic study of microcombs at microwave frequencies.

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Tuning the nonlinear dispersive coupling of nanomechanical string resonators

Cited by 10 publications

References 14 publications

Giant Tunable Mechanical Nonlinearity in Graphene–Silicon Nitride Hybrid Resonator

Giant Tunable Mechanical Nonlinearity in Graphene–Silicon Nitride Hybrid Resonator

Resonant nonlinear response of a nanomechanical system with broken symmetry

Superconducting cavity piezo-electromechanics: the realization of an acoustic frequency comb at microwave frequencies

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