Optical non-reciprocity and slow light propagation in coupled spinning optomechanical resonators

Recently [Nature 558, 7711, 569 (2018)] architectures based on fiber coupled spinning micro-ring optomechanical resonators have shown ability to perform non-reciprocal light propagation without using traditional means such as magneto-optical based Faraday rotation. Motivated by these studies, we investigate the optical transmission of pump-probe driven spinning optomechanical micro-ring resonators coupled in a series configuration [arXiv:1810.03709]. The main focus of our work is to analyze how changing optical Sagnac effect due to same or opposite spinning directions of resonators can provide means to non-reciprocal and delayed transmission of the probe light. We expect the results to be relevant to the problem of photon transport in quantum networks and quantum communications.