We investigate the dynamics of a driven optical parametric oscillator under the injection of orbital angular momentum. The injected mode is adiabatically driven through arbitrary transformations on the Poincaré sphere of first-order paraxial beams. As a result, the down-converted beam conjugated to the seed is shown to follow a path imposed by a nontrivial symmetry on the Poincaré sphere. This symmetry allows controllable distinguishability between the spatial modes of the down-converted beams. In this Letter, we provide convincing experimental evidence of this effect.

中文翻译：

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从动光学参量振荡器中的轨道角动量对称性

我们研究在轨道角动量的注入下驱动的光学参量振荡器的动力学。通过对一阶近轴光束的庞加莱球进行任意变换，绝热地驱动了注入模式。结果，共轭到种子的下转换光束显示遵循庞加莱球上非平凡对称所施加的路径。这种对称性使得在下转换光束的空间模式之间可控的可区分性。在这封信中，我们提供了这种效果的令人信服的实验证据。