Cryogenic optomechanic cavity in low mechanical loss material

Bon, Jérémy; Neuhaus, Leonhard; Deléglise, S.; Briant, T.; Abbé, Philippe; Cohadon, P.-F.; Galliou, Serge

doi:10.1063/1.5042058

Cited by 7 publications

(5 citation statements)

References 15 publications

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“…Another mechanical system, namely quartz bulk BAW resonator also constitutes a fruitful platform for precise tests of quantum gravity. This system exhibits high resonance frequency Ω 0 /2π 10 MHz, milligram scale of the effective mass of oscillating modes [31], large Q-factor close to 10 10 at low temperatures [32] and high frequency stability of electromechanical oscillators reaching the level of 5 × 10 −14 . The above listed features of quartz BAW are very attractive for fundamental tests such as Lorentz symmetry [33].…”

Section: Estimation Of the Correction Strength β0 With Bawmentioning

confidence: 99%

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

et al. 2019

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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.

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Section: Estimation Of the Correction Strength β0 With Bawmentioning

confidence: 99%

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

et al. 2019

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“…This possibly simplifies the design of the system which does not need to be kept at a single low temperature. Applications may comprehend: noise in nano-mechanical resonators [20] can be predicted when the system is subject to a temperature gradient; gravitational waves detection in cryogenic conditions is now at the testing phase [21], and the out of equilibrium state of the suspended mirrors has to be taken into account [19]; Johnson noise can be modeled through the proposed description when a ΔT is applied [8]; the quest for ultra stable oscillators with cryogenic quartz micro resonators [22]. Furthermore, experiments such as the aforementioned are necessary to test the validity of the latest theoretical predictions over fluctuation theorems and the relative inequalities [23].…”

Section: J Stat Mech (2020) 073206mentioning

confidence: 99%

Extended equipartition in a mechanical system subject to a heat flow: the case of localised dissipation

Fontana¹,

Pedurand²,

Bellon³

2020

J. Stat. Mech.

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Statistical physics in equilibrium grants us one of its most powerful tools: the equipartition principle. It states that the degrees of freedom of a mechanical system act as a thermometer: temperature is equal to the mean variance of their oscillations divided by their stiffness. However, when a nonequilibrium state is considered, this principle is no longer valid. In our experiment, we study the fluctuations of a micro-cantilever subject to a strong heat flow, which creates a highly non-uniform local temperature. We measure independently the temperature profile of the object and the temperature yielded from the mechanical thermometers, thus testing the validity of the equipartition principle out of equilibrium. We demonstrate how the fluctuations of the most energetic degrees of freedom are equivalent to the temperature at the base of the cantilever, even when the average temperature is several hundreds of degrees higher. We then present a model based on the localised mechanical dissipation in the system to account for our results, which correspond to mechanical losses localised at the clamping position.

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“…To do so, we place the sample in a cryostat at 10 K and heat its tip close to the melting point with a focused laser, thus prompting a temperature difference of around 1700 K. The interest of this experiment is twofold: from a theoretical point of view, the simple extension of the FDT [9] is put to a test at its limits. From an experimental point of view, this system can be considered an important test bench for cryogenic high-precision measurements, metrology [14] and the GWs community. Indeed, a part of the experimental efforts are heading towards cryogenics (e.g.…”

Section: Introductionmentioning

confidence: 99%

Thermal noise of a cryocooled silicon cantilever locally heated up to its melting point

et al. 2021

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The Fluctuation-Dissipation Theorem (FDT) is a powerful tool to estimate the thermal noise of physical systems in equilibrium. In general however, thermal equilibrium is an approximation, or cannot be assumed at all. A more general formulation of the FDT is then needed to describe the behavior of the fluctuations. In our experiment we study a micro-cantilever brought out-ofequilibrium by a strong heat flux generated by the absorption of the light of a laser. While the base is kept at cryogenic temperatures, the tip is heated up to the melting point, thus creating the highest temperature difference the system can sustain. We independently estimate the temperature profile of the cantilever and its mechanical fluctuations, as well as its dissipation. We then demonstrate how the thermal fluctuations of all the observed degrees of freedom, though increasing with the heat flux, are much lower than what is expected from the average temperature of the system. We interpret these results thanks to a minimal extension of the FDT: this dearth of thermal noise arises from a dissipation shared between clamping losses and distributed damping.

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Cryogenic optomechanic cavity in low mechanical loss material

Cited by 7 publications

References 15 publications

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

Testing the generalized uncertainty principle with macroscopic mechanical oscillators and pendulums

Extended equipartition in a mechanical system subject to a heat flow: the case of localised dissipation

Thermal noise of a cryocooled silicon cantilever locally heated up to its melting point

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