Nonreciprocal chaos in a spinning optomechanical resonator

Abstract

We investigate theoretically nonreciprocal chaos in a spinning optomechanical resonator. We find that under the Sagnac effect induced by spinning a resonator, the chaotic motion can exhibit unidirectional behavior. More specifically, the chaotic motion takes place when the spinning resonator is driven in a chosen direction, whereas it cannot emerge when the driving laser is applied in the opposite direction. Moreover, due to the Sagnac effect, we show that nonreciprocal chaos can resist the backscattering losses. The underlying reason for these phenomena is that the Sagnac effect induces an opposite frequency shift between clockwise and counterclockwise optical modes. Our work opens up a new route to achieve nonreciprocal chaos with the current experimental technology and may provide theoretical guidance for the production of a directional chaos signal generator.