With the emerging possibility to obtain emissions of triples of Greenberger-Horne-Zeilinger–entangled photons via direct parametric generation, we study here bright emissions of this kind which involve higher-order emissions of two triples, three triples, etc. Such states would constitute a natural generalization of the four-mode (two beams plus polarization) squeezed vacuum. We show how to avoid technical difficulties related to straight-ahead generalization of the usual approximate description of parametric down-conversion which uses a classical pump field. Using Padé approximation, we turn the first terms of the nonconverging perturbation expansion into elements of a converging series. This allows us to study nonclassicality of the new bright generalized Greenberger-Horne-Zeilinger states. We present both violations of local realism by such a radiation and simple entanglement indicators tailored for this case.

中文翻译：

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参量光源的类似于格林伯格-霍恩-策林格的明亮辐射的非经典性

随着通过直接参数生成获得格林伯格-霍恩-齐林格缠结的光子三重态发射的新兴可能性，我们在这里研究这种明亮的发射，包括两个三重态，三个三重态等的高阶发射。这样的状态将构成四模态（两束光加上偏振光）的自然概括压缩了真空。我们展示了如何避免与对使用经典泵浦场的参数下变频的通常近似描述进行直接概括有关的技术难题。使用Padé逼近，我们将非收敛摄动展开的第一项转化为收敛级数的元素。这使我们能够研究新的广义广义Greenberger-Horne-Zeilinger态的非经典性。