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PreprintCC BY 4.0arXiv

Cusp-singularity-enhanced Coriolis effect for ultrasensitive chip-scale gyroscopes

Abstract

Gyroscopes, as fundamental inertial sensors, are crucial for rotation measurements in consumer electronics, automotive, and aerospace industries, with the most widely used kind relying on the Coriolis effect. The chip-scale Coriolis vibratory gyroscopes (CVGs) show reduced size, weight, and cost, but remain far lower performance than traditional macroscale CVGs, as the weak intrinsic Coriolis factor sets a fundamental limit on scaling the sensitivity against the inherently louder Brownian noise in microchips compared to the macroscale ones. Here, to overcome this physical limit, for the first time, we propose and experimentally demonstrate the use of third-order singularities lying within cusp catastrophes in the phase-tracked oscillations of an on-chip CVG to facilitate a cubic-root scaling of the Coriolis-effect-induced frequency modulation. Employing this effect, we achieve a three-order-of-magnitude enhancement in the Coriolis factor, yielding a 253-fold improvement in signal-to-noise ratio and a 297-fold increase in precision. Moreover, the cusp singularity enables a previously unattainable ultrasensitive phase-modulated sublinear measurement, achieving a world-record signal-to-noise ratio performance for silicon-chip gyroscopes. These findings not only provide revolutionary advancements in gyroscope technologies, by filling the gap in observing and controlling the singularity-enhanced Coriolis effect, but also shed new light on other ultrasensitive sensing applications.

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BibTeX
@misc{zhang2026cuspsingularityenhanced,
  title = {{Cusp-singularity-enhanced Coriolis effect for ultrasensitive chip-scale gyroscopes}},
  author = {Sen Zhang and Dingbang Xiao and Fei Wang and Ran Huang and Lei Yu and Ning Zhou and Kaixuan He and Xuezhong Wu and Franco Nori and Hui Jing and Xin Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.24917},
  eprint = {2608.24917},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.24917},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Cusp-singularity-enhanced Coriolis effect for ultrasensitive chip-scale gyroscopes
AU  - Sen Zhang
AU  - Dingbang Xiao
AU  - Fei Wang
AU  - Ran Huang
AU  - Lei Yu
AU  - Ning Zhou
AU  - Kaixuan He
AU  - Xuezhong Wu
AU  - Franco Nori
AU  - Hui Jing
AU  - Xin Zhou
PY  - 2026
DA  - 2026/08/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.24917
UR  - https://arxiv.org/abs/2608.24917
AB  - Gyroscopes, as fundamental inertial sensors, are crucial for rotation measurements in consumer electronics, automotive, and aerospace industries, with the most widely used kind relying on the Coriolis effect. The chip-scale Coriolis vibratory gyroscopes (CVGs) show reduced size, weight, and cost, but remain far lower performance than traditional macroscale CVGs, as the weak intrinsic Coriolis factor sets a fundamental limit on scaling the sensitivity against the inherently louder Brownian noise in microchips compared to the macroscale ones. Here, to overcome this physical limit, for the first time, we propose and experimentally demonstrate the use of third-order singularities lying within cusp catastrophes in the phase-tracked oscillations of an on-chip CVG to facilitate a cubic-root scaling of the Coriolis-effect-induced frequency modulation. Employing this effect, we achieve a three-order-of-magnitude enhancement in the Coriolis factor, yielding a 253-fold improvement in signal-to-noise ratio and a 297-fold increase in precision. Moreover, the cusp singularity enables a previously unattainable ultrasensitive phase-modulated sublinear measurement, achieving a world-record signal-to-noise ratio performance for silicon-chip gyroscopes. These findings not only provide revolutionary advancements in gyroscope technologies, by filling the gap in observing and controlling the singularity-enhanced Coriolis effect, but also shed new light on other ultrasensitive sensing applications.
ER  -