High-Order Exceptional Point-Based Rotation Sensing in Anti-Parity time Symmetric Microresonators

Abstract: Exceptional points (EPs), which arise from non-Hermitian systems, have been extensively investigated for the development of high-performance gyroscopes. However, operating a non-Hermitian gyroscope at high-order EP (HOEP) to achieve extreme performance requires strict and precise control of parameters. Here, we propose the design of an anti-parity-time (anti-PT) symmetric optical gyroscope operating at a fourth-order EP, achieving both ultra-sensitivity and high robustness. Our configuration exhibits eigenfrequency splitting two orders of magnitude higher than that of anti-PT gyroscopes operating at second-order EP. Furthermore, we demonstrate a significant reduction in angular random walk (ARW) under noise limits, compared to anti-parity symmetric gyroscopes based on second-order EP. Our results provide a novel approach for developing high-sensitivity rotation detection based on HOEPs.