Thermal Noise Suppression Strategy for Dual-Cavity Mechanical Quantum Gyroscope

Fig. 2. Variation of noise proportion with laser field intensity ${\bar{a}}_{0}$ (effective detuning of optical cavity: $Δ_{1}^{'} = 0$ , $Δ_{2} = - ω_{m}$ ; cavity decay rate: $k_{1} = 5 ω_{m}$ , $k_{2} = 0.3 ω_{m}$ ; phonon number: $n = 312$ ; mechanical oscillator decay rate: $γ = 8 \times 10^{- 4} ω_{m}$ ; optical cavity coupling intensity: $J = 2 ω_{m}$ )

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Fig. 3. Schematic of phonon state transition of mechanical resonator

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Fig. 4. Radiation pressure fluctuation spectra $S_{F F} (ω)$ under different optical cavity coupling intensities $J$ (effective detuning of optical cavity: $Δ_{1}^{'} = ω_{m}$ , $Δ_{2} = - ω_{m}$ ; cavity decay rate: $k_{1} = 3 ω_{m}$ , $k_{2} = 0.3 ω_{m}$ )

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Fig. 5. Radiation pressure fluctuation spectra $S_{F F} (ω)$ under different auxiliary cavity detuning $Δ_{2}$ (effective detuning of optical cavity: $Δ_{1}^{'} = ω_{m}$ ; cavity decay rate: $k_{1} = 3 ω_{m}$ , $k_{2} = 0.3 ω_{m}$ ; optical cavity coupling intensity: $J = 2 ω_{m}$ )

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Fig. 6. Radiation pressure fluctuation spectra $S_{F F} (ω)$ under different optical cavity detuning $Δ_{1}^{'}$ (effective detuning of the auxiliary cavity: $Δ_{2} = - ω_{m}$ ; optical cavity coupling intensity: $J = \sqrt[]{2 ω_{m} (ω_{m} - Δ_{1}^{'})}$ ; cavity decay rate: $k_{1} = 3 ω_{m}$ , $k_{2} = 0.3 ω_{m}$ )

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Fig. 7. Radiation pressure fluctuation spectra $S_{F F} (ω)$ under different decay rates of auxiliary optical cavities $k_{2}$ when cavity decay rate $k_{1} = 3 ω_{m}$ and optical cavity coupling intensity $J = \sqrt[]{2 ω_{m} (ω_{m} - Δ_{1}^{'})}$ . (a) Effective detuning of optical cavity $Δ_{1}^{'} = - 2 ω_{m}$ and $Δ_{2} = - ω_{m}$ ; (b) effective detuning of optical cavity $Δ_{1}^{'} = 0$ , $Δ_{2} = - ω_{m}$

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Fig. 8. Cooling effect of scheme I under different decay rates of auxiliary optical cavities when effective detuning of optical cavity $Δ_{2} = ω_{m} - J^{2} / ω_{m}$ . (a) Variation of cooling rate with optical cavity coupling intensity $J$ ; (b) variations of cooling limit $n_{c}$ and the final mean phonon number of the mechanical resonator $n_{f}$ with optical cavity coupling intensity $J$

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Fig. 9. Comparison of cooling effects of scheme 1 [ $S_{F F} (ω_{m})$ maximum, $Δ_{1}^{'} = 0$ , $Δ_{2} = ω_{m} - J^{2} / ω_{m}$ , $k_{1} = 3 ω_{m}$ , $k_{2} = 0.05 ω_{m}$ ] and scheme 2 [ $S_{F F} (- ω_{m})$ minimum, $Δ_{1}^{'} = 0$ , $Δ_{2} = ω_{m} - J / ω_{m}$ , $k_{1} = 3 ω_{m}$ , $k_{2} = 0.05 ω_{m}$ ]. (a) Variation of cooling rate with optical cavity coupling intensity $J$ ; (b) variations of cooling limit $n_{c}$ and the final mean phonon number of mechanical resonator $n_{f}$ with optical cavity coupling intensity $J$

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Fig. 10. Comparison of radiation pressure fluctuation spectra between original model (coupling strength $J = 0$ ) and optimized dual-cavity model (coupling strength $J = \sqrt[]{2} ω_{m}$ ). Effective detuning of optical cavity: $Δ_{1}^{'} = 0$ , $Δ_{2} = - ω_{m}$ ; cavity decay rate: $k_{1} = 3 ω_{m}$ , $k_{2} = 0.05 ω_{m}$

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Jingyu Wang, Min Nie, Guang Yang, Meiling Zhang, Aijing Sun, Changxing Pei. Thermal Noise Suppression Strategy for Dual-Cavity Mechanical Quantum Gyroscope[J]. Acta Optica Sinica, 2022, 42(23): 2327002

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Paper Information

Category: Quantum Optics

Received: Mar. 31, 2022

Accepted: Jun. 16, 2022

Published Online: Dec. 14, 2022

The Author Email: Wang Jingyu (lanrao_1@163.com)

DOI:10.3788/AOS202242.2327002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology