Two-tone spectroscopy of a nonlinear nanomechanical resonator: amplification and squeezing

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. They represent an ideal testbed to explore the nonlinear dynamics of a strongly driven nanostring. The focus of this presentation will be on the one- and two-tone spectroscopy of the driven string. In both cases, a pair of well-resolved satellite peaks allows to characterize squeezing in the thermal regime without the need to perform a homodyne measurement [1,2]. Unlike the information extracted from the power spectrum of the driven resonator, the analysis of the satellite peaks in the response spectrum of the driven resonator to a weak probe equally applies to squeezing in the quantum domain. In addition, the response to the probe reveals resonant absorption as well as resonant amplification of the probe field [2]. [1] 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) [2] J. S. Ochs (née Huber), M. J. Seitner, M. I. Dykman, E. M. Weig, "Amplification and spectral evidence of squeezing in the response of a strongly driven nanoresonator to a probe field", Phys. Rev. A 103, 013506 (2021)     «

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. They represent an ideal testbed to explore the nonlinear dynamics of a strongly driven nanostring. The focus of this presentation will be on the one- and two-tone spectroscopy of the driven string. In both cases, a pair of well-resolved satellite peaks allows to characterize squeezing in the thermal r...     »