Details
| Original language | English |
|---|---|
| Article number | 066020 |
| Journal | Physical Review D |
| Volume | 100 |
| Issue number | 6 |
| Publication status | Published - 20 Sept 2019 |
Abstract
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 [xp] 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 the amplitude-frequency effect. By implementing this new method we measure the amplitude-frequency effect for a 0.3 kg ultra-high-Q sapphire split-bar mechanical resonator and for an ∼10-5 kg quartz bulk acoustic wave resonator. Our experiments with a sapphire resonator have established the upper limit on a quantum gravity correction constant of β0 to not exceed 5.2×106, which is a factor of 6 better than previously measured. The reasonable estimates of β0 from experiments with quartz resonators yields β0<4×104. The datasets of 1936 measurements of a physical pendulum period by Atkinson [E. C. Atkinson, Proc. Phys. Soc. London 48, 606 (1936).PPSOAU0370-132810.1088/0959-5309/48/4/307] 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 cannot be reliably established. Moreover, pendulum based systems only allow one to test a specific form of the modified commutator that depends on the mean value of momentum. The electromechanical oscillators to the contrary enable testing of any form of generalized uncertainty principle directly due to a much higher stability and a higher degree of control.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D, Vol. 100, No. 6, 066020, 20.09.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums
AU - Bushev, P. A.
AU - Bourhill, J.
AU - Goryachev, M.
AU - Kukharchyk, N.
AU - Ivanov, E.
AU - Galliou, S.
AU - Tobar, M. E.
AU - Danilishin, Stefan
N1 - Funding information: The research was supported by Australian Research Council Centre of Excellence for Engineered Quantum Systems Grant No. CE170100009. P. A. B. thanks M. Plenio, R. Blatt, F. Scardigli, A. Vikman, and P. Bosso for valuable discussions. S. D. would like to thank the Lower Saxonian Ministry of Science and Culture, which supported his research within the frame of the program Research Line (Forschungslinie) QUANOMET Quantum- and Nano-Metrology. The authors are also very thankful to Y. Chen and the members of the MQM discussion group for insightful conversations that inspired this work. The research was supported by Australian Research Council Centre of Excellence for Engineered Quantum Systems Grant No. CE170100009. P.A.B. thanks M. Plenio, R. Blatt, F. Scardigli, A. Vikman, and P. Bosso for valuable discussions. S.D. would like to thank the Lower Saxonian Ministry of Science and Culture, which supported his research within the frame of the program Research Line (Forschungslinie) QUANOMET Quantum- and Nano-Metrology. The authors are also very thankful to Y. Chen and the members of the MQM discussion group for insightful conversations that inspired this work.
PY - 2019/9/20
Y1 - 2019/9/20
N2 - 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 [xp] 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 the amplitude-frequency effect. By implementing this new method we measure the amplitude-frequency effect for a 0.3 kg ultra-high-Q sapphire split-bar mechanical resonator and for an ∼10-5 kg quartz bulk acoustic wave resonator. Our experiments with a sapphire resonator have established the upper limit on a quantum gravity correction constant of β0 to not exceed 5.2×106, which is a factor of 6 better than previously measured. The reasonable estimates of β0 from experiments with quartz resonators yields β0<4×104. The datasets of 1936 measurements of a physical pendulum period by Atkinson [E. C. Atkinson, Proc. Phys. Soc. London 48, 606 (1936).PPSOAU0370-132810.1088/0959-5309/48/4/307] 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 cannot be reliably established. Moreover, pendulum based systems only allow one to test a specific form of the modified commutator that depends on the mean value of momentum. The electromechanical oscillators to the contrary enable testing of any form of generalized uncertainty principle directly due to a much higher stability and a higher degree of control.
AB - 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 [xp] 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 the amplitude-frequency effect. By implementing this new method we measure the amplitude-frequency effect for a 0.3 kg ultra-high-Q sapphire split-bar mechanical resonator and for an ∼10-5 kg quartz bulk acoustic wave resonator. Our experiments with a sapphire resonator have established the upper limit on a quantum gravity correction constant of β0 to not exceed 5.2×106, which is a factor of 6 better than previously measured. The reasonable estimates of β0 from experiments with quartz resonators yields β0<4×104. The datasets of 1936 measurements of a physical pendulum period by Atkinson [E. C. Atkinson, Proc. Phys. Soc. London 48, 606 (1936).PPSOAU0370-132810.1088/0959-5309/48/4/307] 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 cannot be reliably established. Moreover, pendulum based systems only allow one to test a specific form of the modified commutator that depends on the mean value of momentum. The electromechanical oscillators to the contrary enable testing of any form of generalized uncertainty principle directly due to a much higher stability and a higher degree of control.
UR - http://www.scopus.com/inward/record.url?scp=85073210297&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1903.03346
DO - 10.48550/arXiv.1903.03346
M3 - Article
AN - SCOPUS:85073210297
VL - 100
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 6
M1 - 066020
ER -