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.

中文翻译：

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旋转光机械谐振器中的非互易混沌

我们研究了旋转光机械谐振器中理论上的非互易混沌。我们发现在旋转谐振器引起的萨格纳克效应下，混沌运动可以表现出单向行为。更具体地说，当沿选定方向驱动自旋谐振器时会发生混沌运动，而在相反方向施加驱动激光时则不会出现混沌运动。此外，由于萨格​​纳克效应，我们表明非互易混沌可以抵抗反向散射损失。这些现象的根本原因是萨格纳克效应在顺时针和逆时针光学模式之间引起相反的频移。