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IEEE International Symposium on Inertial Sensors and Systems (INERTIAL)

A Quantum Matterwave Vortex Gyroscope

Ryan Husband, Samuel Legge, Simon A. Haine, Ryan Thomas, J. D. Close

Published Mar 25, 2024• 0 citations
Publisher

Abstract

The Vortex Matterwave Gyroscope (VMG) is a new type of quantum rotation sensor based on atom interferometry. The device uses the quantised orbital angular momentum (OAM) of a torus-shaped cold atom cloud to measure rotation angle, giving the device scale factor stability, a robustness to long-term drift, and an advantage over current optical and mat- terwave gyroscope designs due to its primary sensor capabilities and potential atom chip-scale size. In addition, the VMG has a single-shot sensitivity ΔΩ that scales with the OAM imparted to the atom cloud l , the atom cloud population N , and interferometer time T , such that \begin{equation*}\Delta \Omega = \frac{1}{{2lT\sqrt N }}\end{equation*}

DOI
10.1109/inertial60399.2024.10502113

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The Vortex Matterwave Gyroscope (VMG) is a new type of quantum rotation sensor based on atom interferometry. The device uses the quantised orbital angular momentum (OAM) of a torus-shaped cold atom cloud to measure rotation angle, giving the device scale factor stability, a robustness to long-term drift, and an advantage over current optical and mat- terwave gyroscope designs due to its primary sensor capabilities and potential atom chip-scale size. In addition, the VMG has a single-shot sensitivity ΔΩ that scales with the OAM imparted to the atom cloud l , the atom cloud population N , and interferometer time T , such that \begin{equation*}\Delta \Omega = \frac{1}{{2lT\sqrt N }}\end{equation*}
We theoretically investigate the performance of a compact matterwave vortex gyroscope formed by a two-component Bose-Einstein condensate in a toroidal potential. Unlike conventional atomic gyroscopes that rely on the Sagnac effect, the topological stability of the vortex state yields rotation sensitivity independent of the enclosed area, making the device robust against geometric drifts. Using fully quantum multimode simulations, we quantify two interaction-driven mechanisms that degrade performance: phase diffusion from one-axis-twisting and four-wave mixing from intercomponent scattering. We identify regimes where tuning interaction and trapping parameters produces a trade-off between these effects, and find that reducing the intercomponent scattering length can counterintuitively worsen sensitivity. Finally, we compare the vortex gyroscope to a guided Sagnac interferometer, demonstrating superior scaling, establishing it as a promising candidate for compact precision rotation sensing.
This work reviews the topic of rotation sensing with compact cold atom interferometers. A representative set of compact free-falling cold atom gyroscopes is considered because, in different respects, they establish a rotation-measurement reference for cold guided-atom technologies. This review first discusses enabling technologies relevant to a set of key functional building blocks of an atom chip-based compact inertial sensor with cold guided atoms. These functionalities concern the accurate and reproducible positioning of atoms to initiate a measurement cycle, the coherent momentum transfer to the atom wave packets, the suppression of propagation-induced decoherence due to potential roughness, on-chip detection, and vacuum dynamics because of its impact on sensor stability, which is due to the measurement dead time. Based on the existing enabling technologies, the design of an atom chip gyroscope with guided atoms is formalized using a design case that treats design elements such as guiding, fabrication, scale factor, rotation-rate sensitivity, spectral response, important noise sources, and sensor stability.
We have developed an atom interferometer providing a full inertial base. This device uses two counterpropagating cold-atom clouds that are launched in strongly curved parabolic trajectories. Three single Raman beam pairs, pulsed in time, are successively applied in three orthogonal directions leading to the measurement of the three axis of rotation and acceleration. In this purpose, we introduce a new atom gyroscope using a butterfly geometry. We discuss the present sensitivity and the possible improvements.
The exquisite precision of atom interferometers has sparked the interest of a large community for uses ranging from fundamental physics to geodesy and inertial navigation. However, their implementation for onboard applications is still limited, not least because rotation and acceleration are intertwined in a single phase shift, which makes the extraction of a useful signal more challenging. Moreover, the spatial separation of the wave packets due to rotations leads to a loss of signal. We present an atom interferometer operating over a large range of random angles, rotation rates and accelerations. A model of the expected phase shift allows us to untangle the rotation and acceleration signals. We also implement a real-time compensation system using fiber-optic gyroscopes and a rotating reference mirror to maintain the full contrast of the interferometer. We demonstrate a single-shot sensitivity to acceleration of 24 μg for rotation rates reaching 14° s−1. Cold atoms inertial sensors offer great precision and sensitivity, yet their use in mobile applications has been hindered by the effects of rotations on their measurements. Here, authors demonstrate an atom interferometer operating over a wide range of orientations and rotation rates, thanks to hybridisation with accelerometers and gyroscopes.
Matter-wave interferometry with cold atoms offers a competitive tool for absolute measurements of acceleration and rotation. The sensitivity of atom-interferometric gyroscopes depends on the area enclosed by the interferometer. In this contribution, we present a concept for a rotation sensor, utilizing a multi-loop interferometer geometry to achieve a scalable area while maintaining a compact setup. It enables rotation measurements of a single axis on ground and can be extended to measure rotations along all three spatial axes in microgravity, for potential applications in space missions, Earth observation, and navigation systems.
Using the technique of point source atom interferometry, we characterize the sensitivity of a multi-axis gyroscope based on free-space Raman interrogation of a single source of cold atoms in a glass vacuum cell. The instrument simultaneously measures the acceleration in the direction of the Raman laser beams and the component of the rotation vector in the plane perpendicular to that direction. We characterize the sensitivities for the magnitude and direction of the rotation vector measurement, which are 0.033 ∘/s^{\circ}/\mathrm{s}∘/s and 0.27 ∘^{\circ}∘ with one second averaging time, respectively. The sensitivity could be improved by increasing the Raman interrogation time, allowing the cold-atom cloud to expand further, correcting the fluctuations in the initial cloud shape, and reducing sources of technical noise. The unique ability of the PSI technique to measure the rotation vector in a plane may permit applications of atom interferometry such as tracking the precession of a rotation vector and gyrocompassing.