Anti-$\mathcal{PT}$-symmetric Kerr gyroscope

doi:10.1088/1674-1056/ac3988

Abstract Non-Hermitian systems can exhibit unconventional spectral singularities called exceptional points (EPs). Various EP sensors have been fabricated in recent years, showing strong spectral responses to external signals. Here we propose how to achieve a nonlinear anti-parity-time ($\mathcal{APT}$) gyroscope by spinning an optical resonator. We show that, in the absence of any nonlinearity, the sensitivity or optical mode splitting of the linear device can be magnified up to 3 orders compared to that of the conventional device without EPs. Remarkably, the $\mathcal{APT}$ symmetry can be broken when including the Kerr nonlinearity of the materials and, as a result, the detection threshold can be significantly lowered, i.e., much weaker rotations which are well beyond the ability of a linear gyroscope can now be detected with the nonlinear device. Our work shows the powerful ability of $\mathcal{APT}$ gyroscopes in practice to achieve ultrasensitive rotation measurement.

Keywords: anti-parity-time symmetry optical gyroscope exceptional point Kerr nonlinearity

Received: 09 September 2021
Revised: 10 October 2021
Accepted manuscript online: 15 November 2021

PACS:	42.50.-p	(Quantum optics)
	42.65.-k	(Nonlinear optics)
	42.81.Pa	(Sensors, gyros)
	06.30.Gv	(Velocity, acceleration, and rotation)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11935006, 11774086, and 12064010), Science and Technology Innovation Program of Hunan Province, China (Grant No. 2020RC4047), Natural Science Foundation of Hunan Province of China (Grant No. 2021JJ20036), and Natural Science Foundation of Jiangxi Province of China (Grant No. 20192ACB21002).

Corresponding Authors: Hui Jing
E-mail: jinghui73@foxmail.com

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Huilai Zhang(张会来), Meiyu Peng(彭美瑜), Xun-Wei Xu(徐勋卫), and Hui Jing(景辉) Anti-$\mathcal{PT}$-symmetric Kerr gyroscope 2022 Chin. Phys. B 31 014215

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