Doubly-clamped pre-stressed silicon nitride string resonators excel as high Q
nanomechanical systems enabling room temperature quality factors of several 100,000 in the
10 MHz eigenfrequency range. Dielectric transduction ideally complements the silicon nitride
strings, providing an all-electrical control scheme while retaining the large mechanical quality
factor [1]. It is mediated by an inhomogeneous electric field created between adjacent electrodes.
The resulting gradient field provides an integrated platform for actuation, displacement
detection, frequency tuning as well as strong mode coupling.
Dielectrically controlled silicon nitride strings are an ideal testbed to explore a variety of
dynamical phenomena ranging from multimode coupling to coherent control. The focus of this
presentation will be on the nonlinear dynamics of a driven high Q string. For relatively weak
driving, emergent satellite peak reminiscent of thermomechanical squeezing are understood in
the framework of the cubic nonlinearity of the Duffing model [2]. For stronger driving, an
abnormal response heralds dynamics beyond the Duffing model [3].
[1] Q. P. Unterreithmeier et al., Universal transduction scheme for nanomechanical
systems based on dielectric forces, Nature 458, 1001 (2009).
[2] J. S. Huber, G. Rastelli, M. J. Seitner, J. Kölbl, W. Belzig, M. I. Dykman, and E. M.
Weig, “Spectral Evidence of Squeezing of a Weakly Damped Driven Nanomechanical
Mode”, Phys. Rev. X 10, 021066 (2020).
[3] J. S. Ochs, G. Rastelli, M. J. Seitner, M. I. Dykman, and E. M. Weig, Resonant
nonlinear response of a nanomechanical system with broken symmetry,
arXiv:2108.13649 (2021
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Doubly-clamped pre-stressed silicon nitride string resonators excel as high Q
nanomechanical systems enabling room temperature quality factors of several 100,000 in the
10 MHz eigenfrequency range. Dielectric transduction ideally complements the silicon nitride
strings, providing an all-electrical control scheme while retaining the large mechanical quality
factor [1]. It is mediated by an inhomogeneous electric field created between adjacent electrodes.
The resulting gradient field pro...
»