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Improvement of rotation rate sensitivity in a double moving mirrors cavity of a quantum optomechanical gyroscope

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Abstract

In this article, we have presented a design of a quantum optomechanical gyroscope, consisting of a Michelson interferometer on a rotating table. An optical cavity with two moving mirrors is placed on one of the interferometer arms. Mirrors have freedom of movement in the x direction. Also, a sinusoidal movement in the y direction is applied to the entire optical cavity. The Coriolis force acting on the mirrors leads to a change in the optical path length of the cavity and then causes a change in the resonance frequency of it. This leads to an additional phase of radiation inside the cavity. We use the Heisenberg–Langevin equations of motion, to calculate the signal and noise of the output radiation of the interferometer, and then calculate the minimum rotation rate and its sensitivity that can be obtained from our gyroscope. It is shown that by using two moving mirrors, the sensitivity has been improved by more than \(\varvec{56\%}\) compared with the cavity with one moving mirror. On the other hand, at temperatures of \({\varvec{T=0\,K}}\), \({\varvec{T=1\,mK}}\) and \({\varvec{T=300\,K}}\), and by drawing the Allan deviation curve, Angular Random Walk noise and Bias Stability of the gyroscope were obtained.

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Notes

  1. Micro-Electro-Mechanical Systems (MEMS).

  2. \(\hat{H}_{new}=\hat{U} \hat{H} \hat{U}^\dagger -i\hbar \hat{U}\frac{\partial \hat{U}^\dagger }{\partial t}, \hat{U}=e^{i\omega _d \hat{c}^\dagger \hat{c} t}.\)

  3. Weighted least squares (WLS).

  4. Angular Random Walk(ARW).

  5. Bias Stability (BS).

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Authors and Affiliations

  1. Optics and Laser Science and Technology Research Center, Malek Ashtar University of Technology, Shahin-Shahr, Isfahan, Iran

    Vahid Mahdavi, Hossein Saghafifar & Mahdi Davoudi-Darareh

Authors
  1. Vahid Mahdavi
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  2. Hossein Saghafifar
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  3. Mahdi Davoudi-Darareh
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The authors declare that all participate equally in the manuscript and there isn't any conflict between them.

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Correspondence to Hossein Saghafifar.

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Mahdavi, V., Saghafifar, H. & Davoudi-Darareh, M. Improvement of rotation rate sensitivity in a double moving mirrors cavity of a quantum optomechanical gyroscope. Appl. Phys. B 130, 99 (2024). https://doi.org/10.1007/s00340-024-08227-8

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