An investigation of rotation rate sensitivity of a quantum optomechanical gyroscope with two coupled cavities

In this article, we have shown the design of a quantum optomechanical gyroscope, which is formed by combining a Michelson interferometer with a quantum optomechanical cavity coupled with a simple Fabry-Perot cavity, all located on a rotating table. The optomechanical cavity contains one movable mirror. The movement of the mirror is in both directions of the cavity axis(x-direction) and perpendicular to it(y-direction). A micro-piezoelectric carries out the movement of the mirror in the y-direction and is sinusoidal with the natural vibration frequency of the mirror in the x-direction. Despite the movement of the mirror in the y-direction and also the rotation of the gyroscope around the z-axis, the virtual Coriolis force enters the mirror in the x-direction. This affects the movement of the mirror, which was previously caused by thermal fluctuations and radiation pressure force. Also, the presence of a simple Fabry-Perot cavity and its coupling with the optomechanical cavity helps us to control the amount of energy entering the optomechanical cavity and consequently the radiation pressure inside it. Then in an optimal limit, we can get the best value of gyroscope sensitivity. In this article, we were able to achieve a sensitivity of 2.97 × 10−15 𝑟𝑎𝑑⁄𝑠 √𝐻𝑧 in angular velocity measurement by using this structure for the gyroscope. At the end of this article, by drawing Alan deviation diagrams in four temperatures 𝑇 = 0𝐾, 1𝑚𝐾, 10𝐾, 300𝐾, the values of the two basic parameters of gyroscopes, namely ARW and BS were obtained