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Optical Engineering

Physical system for horizontal counter-propagating atom interferometric gyroscope

Xianhua Wang, Sen Jia, Yue Zhang, Xiawen Cheng

Published May 29, 2025• 0 citations
Publisher

Abstract

Utilizing the matter wave and Sagnac effect, the horizontal angular velocity and acceleration of a carrier can be precisely measured by a horizontal counter-propagating atom interferometric gyroscope. The physical system for horizontal counter-propagating atom interferometric gyroscope incorporates an ultrahigh vacuum environment along with specifically designed magnetic distributions and optical paths to control and detect atom states via lasers. We analyze the operational principles of the atom interferometric gyroscope, clarifying its functional requirements and basic mechanical components. From the theoretical analysis, critical specifications such as vacuum levels and magnetic field distributions in each functional area have been proposed. As a result, a comprehensive physical system for the atom interferometric gyroscope has been established. The measurement results indicate that the vacuum is maintained at 10−8 Pa, and each of the generated cold atom clouds in a three-dimensional magneto-optical trap has a diameter of ∼6 mm, contains ∼108 atoms, and maintains a temperature of 11 μK, fulfilling the prerequisites for horizontal angular velocity and acceleration measurements.

DOI
10.1117/1.oe.64.5.054116

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Utilizing the matter wave and Sagnac effect, the horizontal angular velocity and acceleration of a carrier can be precisely measured by a horizontal counter-propagating atom interferometric gyroscope. The physical system for horizontal counter-propagating atom interferometric gyroscope incorporates an ultrahigh vacuum environment along with specifically designed magnetic distributions and optical paths to control and detect atom states via lasers. We analyze the operational principles of the atom interferometric gyroscope, clarifying its functional requirements and basic mechanical components. From the theoretical analysis, critical specifications such as vacuum levels and magnetic field distributions in each functional area have been proposed. As a result, a comprehensive physical system for the atom interferometric gyroscope has been established. The measurement results indicate that the vacuum is maintained at 10−8 Pa, and each of the generated cold atom clouds in a three-dimensional magneto-optical trap has a diameter of ∼6 mm, contains ∼108 atoms, and maintains a temperature of 11 μK, fulfilling the prerequisites for horizontal angular velocity and acceleration measurements.
We discuss a scheme to implement a gyroscopic atom sensor with magnetically trapped ultra-cold atoms. Unlike standard light or matter wave Sagnac interferometers no free wave propagation is used. Interferometer operation is controlled only with static, radio-frequency and microwave magnetic fields, which removes the need for interferometric stability of optical laser beams. Due to the confinement of atoms, the scheme may allow the construction of small scale portable sensors. We discuss the main elements of the scheme and report on recent results and efforts towards its experimental realization.
The Sagnac effect, manifest in the phase shift of a rotating interferometer proportional to its physical area and to the rotation rate of the frame, plays a crucial role in modern physics being generalized to any kind of interferometer. However, as compared to light, the accurate experimental validation of the Sagnac effect for matter-waves remains challenging. We report the accurate measurement of the Sagnac phase shift, induced by the Earth’s rotation, using a large-area cold atom interferometer. We probe the atomic Sagnac phase shift along the two orthogonal horizontal axes in various orientation of the sensor with respect to geographic north and obtain an agreement with the theoretical prediction at the 20 ppm level, improving by twenty five-fold over the previous achievements for matter waves. Our results underline the universality of the Sagnac effect and open new horizons for testing other fundamental theories, as well as for a number of technological applications in seismology, geodesy and inertial navigation systems.
We propose a novel implementation of a trapped- atom Sagnac gyroscope based on the interference between matter- wave solitons confined around an optical microring resonator. Our integrated nanophotonic approach to trapped atom interferometry combines the long-term stability and quantum-limited sensitivity of ultracold matter-wave interferometers with the robustness, scalability and low power operation of nanophotonic architectures. The use of optical microresonators for atomic confinement ensures disorder-free symmetric waveguides for the confined atoms, a high degree of vibration insensitivity owing to the reciprocal structure of the waveguide, and enhanced bias and scale-factor stability via concurrent feedback stabilization of the microresonator. We have performed detailed quantum simulations based on demonstrated experimental parameters to confirm stable dispersion-free propagation of matter-wave solitons around the microresonator and the appearance of high contrast interference fringes due to the accrued Sagnac phase shift. We estimate the shot-noise limited rotation sensitivity of this gyroscope to be 0.8 μrad/s/Hz1/2for single-loop propagation of the solitons around a microring of radius 1 mm, with the possibility of substantial improvements via multiloop propagation of the solitons, fabrication of microring resonators of larger diameter, and the use of quantum-correlated states such as spin- squeezed quantum states. The proposed device illustrates the benefits of harnessing quantum many-body states such as matter- wave solitons for quantum-enhanced inertial sensing applications.
A gyroscope based on Sagnac interferometer measures the rotation rate relative to an inertial frame of reference. Sagnac effect originally has been derived and experimentally demonstrated with optical waves. Later, matter wave based Sagnac interferometers were developed due to inherent sensitivity over a photon based system. However in any interferometer whether it is photon or matter wave based the resultant phase shift due to counter-rotating waves is independent of the wave velocity. Here we show that one can have a larger phase shift with slower matter waves using Aharonov-Bohm effect: the phase difference of the counter propagating waves is proportional to the inverse square of the particle velocity.