Doubly rotated quartz resonators with a low amplitude-frequency effect: the LD-cut

Gufflet, N.; Sthal, F.; Boy, J.J.; Bourquin, R.; Mourey, M.

doi:10.1109/58.971721

Cited by 11 publications

(7 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The closed circle is the estimated β0 for the quartz BAW at LDcut, see ref. [19]. The square is the upper limit for β0 obtained with sapphire split-bar resonator.…”

Section: Discussionmentioning

confidence: 99%

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

et al. 2019

View full text Add to dashboard Cite

Recent progress in observing and manipulating mechanical oscillators at quantum regime provides new opportunities of studying fundamental physics, for example to search for low energy signatures of quantum gravity. For example, it was recently proposed that such devices can be used to test quantum gravity effects, by detecting the change in the [x,p] commutation relation that could result from quantum gravity corrections. We show that such a correction results in a dependence of a resonant frequency of a mechanical oscillator on its amplitude, which is known as amplitudefrequency effect. By implementing of this new method we measure amplitude-frequency effect for 0.3 kg ultra high-Q sapphire split-bar mechanical resonator and for ∼ 10 −5 kg quartz bulk acoustic wave resonator. Our experiments with sapphire resonator have established the upper limit on quantum gravity correction constant of β0 to not exceed 5.2 × 10 6 , which is factor of 6 better than previously measured. The reasonable estimates of β0 from experiments with quartz resonators yields β0 < 4×10 4 . The data sets of 1936 measurement of physical pendulum period by Atkinson [1] could potentially lead to significantly stronger limitations on β01. Yet, due to the lack of proper pendulum frequency stability measurement in these experiments the exact upper bound on β0 can not be reliably established. Moreover, pendulum based systems only allow to test a specific form of the modified commutator that depends on the mean value of momentum. The electro-mechanical oscillators to the contrary enable testing of any form of generalized uncertainty principle directly due to a much higher stability and higher degree of control.

show abstract

“…The closed circle is the estimated β0 for the quartz BAW at LDcut, see ref. [19]. The square is the upper limit for β0 obtained with sapphire split-bar resonator.…”

Section: Discussionmentioning

confidence: 99%

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

et al. 2019

View full text Add to dashboard Cite

show abstract

“…Various design parameters were presented, along with the properties of the resonator. The resonance frequencies of various modes, the temperature dependence, the motional parameters and the phase noise in relation to the power supplied to the resonator were mainly studied [8].…”

Section: Ld-cutmentioning

confidence: 99%

Recent progress in the performances of ultrastable quartz resonators and oscillators

Salzenstein

2016

Int. J. Simul. Multisci. Des. Optim.

View full text Add to dashboard Cite

-Stressed compensated (SC) cut led recently to the best frequency stability ever obtained with a quartz oscillator, 2.5 · 10 À14 for the flicker frequency modulation (FFM) floor. This result is confirmed in this paper with a 3.2 · 10 À14 ± 1.1 · 10 À14 . The quartz resonator is integrated in a 5 MHz enhanced aging box double oven controlled oscillator. After reminding a bit of history, this paper describes how the first significant development in terms of ultra-stable quartz state-of-the-art oscillators was performed in the last 20 years, how the resonators were chosen, and main information about the development of adequate electronics and how to mechanically and thermally stabilized such an ultra-stable oscillator. We also present how to characterize the expected performances, and hot topics in quartz based oscillators.

show abstract

“…f In our case, the decrease of L() f is not due to a permanent change, as can be observed in [11] after a burn-in process. Variation of the acoustic resonator noise according to the dissipated power has been already observed in BAW resonators (see [5], [12]) and more recently in film bulk acoustic resonators (FBARs) [13].…”

Section: S F Fmentioning

confidence: 90%

Computation method for the short-term stability of quartz crystal resonators obtained from passive phase noise measures

Sthal

Imbaud

Vacheret

et al. 2013

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

View full text Add to dashboard Cite

show abstract

Doubly rotated quartz resonators with a low amplitude-frequency effect: the LD-cut

Cited by 11 publications

References 9 publications

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

Recent progress in the performances of ultrastable quartz resonators and oscillators

Computation method for the short-term stability of quartz crystal resonators obtained from passive phase noise measures

Contact Info

Product

Resources

About