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

doi:10.1088/1674-1056/ac3988

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 14215-014215.doi: 10.1088/1674-1056/ac3988

所属专题： SPECIAL TOPIC — Non-Hermitian physics

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

Huilai Zhang(张会来), Meiyu Peng(彭美瑜), Xun-Wei Xu(徐勋卫), and Hui Jing(景辉)^†

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

收稿日期:2021-09-09 修回日期:2021-10-10 接受日期:2021-11-15 出版日期:2021-12-03 发布日期:2021-12-28
通讯作者: Hui Jing E-mail:jinghui73@foxmail.com
基金资助:
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).

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

Huilai Zhang(张会来), Meiyu Peng(彭美瑜), Xun-Wei Xu(徐勋卫), and Hui Jing(景辉)^†

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

Received:2021-09-09 Revised:2021-10-10 Accepted:2021-11-15 Online:2021-12-03 Published:2021-12-28
Contact: Hui Jing E-mail:jinghui73@foxmail.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: anti-parity-time symmetry, optical gyroscope, exceptional point, Kerr nonlinearity

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.

Key words: anti-parity-time symmetry, optical gyroscope, exceptional point, Kerr nonlinearity

中图分类号: (Quantum optics)

42.50.-p

42.65.-k (Nonlinear optics) 42.81.Pa (Sensors, gyros) 06.30.Gv (Velocity, acceleration, and rotation)

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[J]. 中国物理B, 2022, 31(1): 14215-014215.

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[J]. Chin. Phys. B, 2022, 31(1): 14215-014215.

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

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

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