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Optomechanical trampoline resonators

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Abstract

We report on the development of optomechanical “trampoline” resonators composed of a tiny SiO2/Ta2O5 dielectric mirror on a silicon nitride micro-resonator. We observe optical finesses of up to 4 × 104 and mechanical quality factors as high as 9 × 105 in relatively massive (∼100 ng) and low frequency (10–200 kHz) devices. This results in a photon-phonon coupling efficiency considerably higher than previous Fabry-Perot-type optomechanical systems. These devices are well suited to ultra-sensitive force detection, ground-state optical cooling experiments, and demonstrations of quantum dynamics for such systems.

©2011 Optical Society of America

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Figures (4)

Fig. 1
Fig. 1 The main steps in the fabrication process, carried out on a silicon wafer (gray). a) The process begins with the deposition of the SiO2 (blue) / Ta2O5 (pink) dielectric mirror, which is then etched into discs of the desired size (only 7 of the 33 dielectric layers are shown). b) Si3N4 (green) is deposited on both sides of the wafer. c) The front side Si3N4 is etched into the resonator geometry and the backside has square holes etched for the Si etch. d) The carrier wafer is etched through with a TMAH anisotropic etch, releasing the resonators. e) A short BHF etch strips the protective SiO2 layer off the front of the mirror, and the sample is then removed from solution with a critical point dry.
Fig. 2
Fig. 2 Three micro-optomechanical resonators, as viewed from the top of the carrier wafer. Left: optical image, diameter d = 80 μm, Si3N4 of thickness t = 500 nm, with resonator arms of diagonal length a = 250 μm and width w = 20 μm. Center: optical image, d = 80 μm, t = 300 nm, a = 2000 μm, w = 2 μm. Right: scanning electron microscope image, d = 40 μm, t = 500 nm, a = 500 μm, w = 10 μm. Note that the anisotropic etch profile of TMAH is clearly visible in the silicon at the top of the image.
Fig. 3
Fig. 3 The signal from the photodiode monitoring the cavity transmission during a typical optical ringdown measurement, showing the exponential decay of the signal after the pump laser is switched off via the AOM (averaged over 16 runs to reduce noise). Fitting the data starting 0.5 μs after the AOM switch results in an exponential decay time of τcav = 2.11 ± 0.02 μs.
Fig. 4
Fig. 4 a) The normalized amplitude of the fundamental mechanical resonance of a low frequency (9.174 kHz) resonator after it is excited by moving by one of the alignment motors by a single step. Data from the first minute after the excitation (not shown) is heavily distorted due to the mechanical amplitude becoming larger than the equivalent width of the optical peak (λ/2F ∼ 5 nm). Fitting the data after t = 80 s results in a power decay time of τ = 15.4 ± 0.3 s, or a mechanical quality factor of Qm = (9.4 ± 0.2) × 105. b) The thermal resonance spectrum of a high frequency (ωm = 2π × 157.7 kHz) trampoline resonator. A fit to a Lorentzian gives a peak width (FWHM) of δωm = 2π × 3.64±0.15 Hz, corresponding to Qm = (4.3 ± 0.2) × 104.

Tables (2)

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Table 1 Dependence of frequency and quality factor on temperature as 157.7 kHz device is cooled to 300 mK with a dilution refrigerator.

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Table 2 A comparison of trampoline resonators with other previously demonstrated opto-mechanical systems.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

g = ω c L x 0 ,
g = g τ cav = 2 F x 0 λ .
Q m 1 exp ( h ¯ ω m k B T ) 1
T Q m h ¯ ω m k B .
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