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arXiv:2505.08466

Quantum gyroscope based on the cavity magnomechanical system

Zhe-Qi Yang, Lei Chen, Yurong Lin, Wei Qin, Zhi‐Rong Zhong

Published May 13, 2025• 0 citations
arXivHTMLPDF

Abstract

High-precision rotational angle measurement in noise-prone environments holds critical impor tance in aerospace engineering, military navigation, and related domains. In this paper, we propose a quantum gyroscope scheme based on a cavity magnomechanical system, which enables high precision rotation angle detection by harnessing hybrid light-magnon interactions. Central to this framework is the employment of a two-mode squeezed coherent state, generated via parametric coupling of dual quantized optical fields with collective spin excitations (magnons), serving as the quantum metrological probe. We demonstrate that this scheme can significantly reduce quantum noise to levels far below the shot-noise limit. Furthermore, in the non-Markovian case, the per formance of the quantum gyroscope in a dissipative environment does not deteriorate over time, provided that the environmental spectral density satisfies certain conditions. These findings provide critical insights for advancing miniaturized quantum gyroscopes with sub-microradian precision, addressing long-standing challenges in inertial navigation systems under strong ambient noise.

DOI
10.48550/arxiv.2505.08466

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High-precision rotational angle measurement in noise-prone environments holds critical impor tance in aerospace engineering, military navigation, and related domains. In this paper, we propose a quantum gyroscope scheme based on a cavity magnomechanical system, which enables high precision rotation angle detection by harnessing hybrid light-magnon interactions. Central to this framework is the employment of a two-mode squeezed coherent state, generated via parametric coupling of dual quantized optical fields with collective spin excitations (magnons), serving as the quantum metrological probe. We demonstrate that this scheme can significantly reduce quantum noise to levels far below the shot-noise limit. Furthermore, in the non-Markovian case, the per formance of the quantum gyroscope in a dissipative environment does not deteriorate over time, provided that the environmental spectral density satisfies certain conditions. These findings provide critical insights for advancing miniaturized quantum gyroscopes with sub-microradian precision, addressing long-standing challenges in inertial navigation systems under strong ambient noise.
In this paper, we propose a quantum gyroscope scheme based on a cavity-magnon system, which enables high-precision rotation angular velocity sensing by harnessing hybrid light-magnon interactions. Central to this framework is the employment of a two-mode squeezed coherent state, generated via parametric coupling of dual quantized optical fields with collective spin excitations (magnons), which serves as the quantum metrological probe. We demonstrate that this scheme can significantly enhance the sensitivity of quantum gyroscopes beyond the shot-noise limit. Furthermore, in the non-Markovian case, the performance of the quantum gyroscope in a dissipative environment does not deteriorate over time, provided that the environmental spectral density satisfies certain conditions. Another notable advantage of the proposed quantum gyroscope lies in its ability to overcome the size constraints inherent in current quantum gyroscope designs. These findings provide critical insights for advancing miniaturized quantum gyroscopes with sub-microradian precision, addressing long-standing challenges in inertial navigation systems under strong ambient noise.
Quantum techniques, developed in recent decades, provide new approaches to achieving high-precision measurements beyond the classical bounds. In this paper, we theoretically demonstrate a metrology method for improving the sensitivity of the interferometric optical gyroscope, robust against the loss, by using coherent-light stimulated two-mode squeezed beams as the light source. The detection protocol is based on a simple intensity measurement, and the quantum noise is far below the shot-noise limit. The enhancement factors for different coherent light fields are analyzed in detail. Additionally, the influence of loss during the propagation in the optical path is studied, and the conditions for achieving sub-shot-noise measurement sensitivity are obtained. We also find that the phase sensitivity of the proposed gyroscope scheme becomes closer to the quantum Cramér-Rao bound with increasing of the photon number of the coherent beams.
Gyroscope for rotation sensing plays a key role in inertial navigation systems. Developing more precise gyroscopes than the conventional ones bounded by the classical shot-noise limit by using quantum resources has attracted much attention. However, existing quantum gyroscope schemes suffer severe deterioration under the influence of decoherence, which is called the no-go theorem of noisy metrology. Here, by using two quantized optical fields as the quantum probe, we propose a quantum gyroscope scheme breaking through the constraint of the no-go theorem. Our exact analysis of the non-Markovian noise reveals that both the evolution time as a resource in enhancing the sensitivity and the achieved super-Heisenberg limit in the noiseless case are asymptotically recoverable when each optical field forms a bound state with its environment. The result provides a guideline for realizing high-precision rotation sensing in realistic noisy environments.
In sensors, the highest precision in measurements is given by vacuum fluctuations of quantum mechanics, resulting in a shot noise limit. In a Mach-Zenhder interferometer (MZI), the intensity measurement is correlated with the phase, and thus, the precision measurement (Δn) is coupled with the phase resolution (Δφ) by the Heisenberg uncertainty principle. Quantum metrology offers a different solution to this precision measurement using nonclassical light such as squeezed light or higher-order entangled-photon pairs, resulting in a smaller Δφ and sub-shot noise limit. Here, we propose another method for the high precision measurement overcoming the diffraction limit in classical physics, where the smaller Δφ is achieved by phase quantization in a coupled interferometric system of coherence de Broglie waves. For a potential application of the proposed method, a quantum ring laser gyroscope is presented as a quantum version of the conventional ring laser gyroscope used for inertial navigation and geodesy.
Gyroscopes find wide applications in everyday life from navigation and inertial sensing to rotation sensors in hand-held devices and automobiles. Current devices, based on either atomic or solid-state systems, typically impose a choice between long-time stability and high sensitivity in a miniaturized system. Thanks to their optical properties, nuclear spins associated with NV centers in diamond have been proposed to overcome this challenge. While optical polarization improves these devices' sensitivities, further improvement is needed. Here, we propose a gyroscope protocol based on a two-spin system that includes a spin intrinsically tied to the host material, while the other spin is effectively in an inertial frame. The rotation rate is then extracted by measuring the relative rotation angle between the two spins starting from their population states, which are robust against spin dephasing. Importantly, the relative rotation rate between the two spins is enhanced by their hyperfine coupling by more than an order of magnitude, further boosting the achievable sensitivity. The ultimate sensitivity of the gyroscope is limited by the lifetime of the spin system and is compatible with a broad dynamic range, even in the presence of magnetic noises or control errors due to initialization and qubit manipulations. Our result enables precise measurement of slow rotations and exploration of fundamental physics.
Abstract Quantum metrology enables measurement sensitivities beyond classical limits by exploiting quantum resources. Among promising platforms, hybrid cavity–magnon systems—where microwave photons interact with collective spin excitations in magnetic materials—offer a versatile testbed for emerging quantum technologies. However, their performance hinges on precise knowledge of the cavity–magnon coupling strength. Here, we propose an experimentally feasible scheme to enhance the quantum estimation of this parameter by leveraging coherent feedback and parametric amplification. Using the Heisenberg–Langevin formalism, we linearize the system dynamics and compute both quantum (QFI) and classical Fisher information. Our analysis shows that optimal detuning, strong driving, and cryogenic temperatures below 0.1 K significantly improve estimation precision, while magnon dissipation and thermal noise degrade the QFI. Parametric amplification enhances precision when the gain and phase are optimally tuned, and coherent feedback yields even greater sensitivity at tailored phase shifts and reflectivities. Notably, their combination achieves the lowest estimation error and the highest robustness against thermal noise. Finally, we identify the cavity mode as the optimal probe, with homodyne detection nearly saturating the quantum limit under ideal conditions. These findings establish a robust pathway for high-precision, noise-resilient cavity–magnon coupling estimation.