Abstract
Synthetic dimensions and anti-parity-time (anti-PT) symmetry have been recently proposed and experimentally demonstrated in a single optical resonator. Here, we present the effect of the rotation-induced frequency shift in a synthetic anti-PT symmetric resonator, which enables the realization of a directional rotation sensor with improved sensitivity at an exceptional point (EP) and transparency assisted optical nonreciprocity (TAON) in the symmetry-broken region. The orthogonal rotation of this system results in the direction-independent frequency shift and maintenance of the EP condition even with rotation. Tunable transparency at the EP can thus be fulfilled. Hopefully, the proposed mechanisms will contribute to the development of high-precision rotation sensors and all-optical isolators and make the study of the synthetic anti-PT symmetric EP with rotation possible.
Highlights
Non-Hermitian optics has attracted great interest for its rich physics and applications.[1,2] Optical whispering gallery mode (WGM) resonators provide a ready and controllable platform to realize parity-time (PT) and anti-PT symmetry.[3]
We define the detuning Δp,s = ωp,s − ωp0,s0, which is highly tunable via the probe and seed lasers, with ωp0,s0 representing the neighboring WGM frequency of the probe and seed light
The exceptional point of the synthetic anti-PT symmetry contributes to enhanced rotation sensing capability and enables the determination of the rotation direction
Summary
Non-Hermitian optics has attracted great interest for its rich physics and applications.[1,2] Optical whispering gallery mode (WGM) resonators provide a ready and controllable platform to realize parity-time (PT) and anti-PT symmetry.[3]. In this work, we theoretically investigate the rotation in a synthetic anti-PT symmetric optical resonator mentioned in ref 14. This resonator can work as a rotation sensor with enhanced sensitivity and capability of determining the rotation direction at the EP in synthetic anti-PT symmetry at a relatively slow velocity. Due to the direction-dependent frequency shift from in-plane rotation, transparency and absorption-assisted optical nonreciprocity (AAON) in the rotation-induced symmetry-broken region have been proposed and analyzed. The illustration of the synthetic anti-PT symmetric resonator rotating orthogonally is provided for the new direction-independent frequency shift and maintenance of the EP condition at the rotation state, accompanied by the Received: November 21, 2020 Accepted: January 21, 2021 Published: February 13, 2021. Orthogonal rotation breaks the nonreciprocity and enables the study of synthetic anti-PT symmetry and its EP at the moving condition
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