表征最大奇异相空间分布
Characterizing maximally singular phase-space distributions
摘要：
在量子光学中，相空间分布被广泛应用于研究辐射场的非经典特性。特别是，无法用经典概率密度来解释格劳伯-苏达山分布是量子光的基本基准。然而，这种相空间分布不能直接重建任意状态，因为它的奇异行为。在这项工作中，我们执行的Glauber-Sudarshan表示的分布理论的特征。我们解决这些分布的重要特征：（i）研究了它们的奇异性的最大程度，（ii）表示的模糊性，以及（iii）指定了它们用于非经典性测试的对偶空间。在这种情况下，我们重新考虑的方法，规范化的Glauber-Sudarshan分布验证其非经典性。这种处理方法得到了全面的例子和反例的支持。
英文摘要：
Phase-space distributions are widely applied in quantum optics to access the nonclassical features of radiations fields. In particular, the inability to interpret the Glauber-Sudarshan distribution in terms of a classical probability density is the fundamental benchmark for quantum light. However, this phase-space distribution cannot be directly reconstructed for arbitrary states, because of its singular behavior. In this work, we perform a characterization of the Glauber-Sudarshan representation in terms of distribution theory. We address important features of such distributions: (i) the maximal degree of their singularities is studied, (ii) the ambiguity of representation is shown, and (iii) their dual space for nonclassicality tests is specified. In this view, we reconsider the methods for regularizing the Glauber-Sudarshan distribution for verifying its nonclassicality. This treatment is supported with comprehensive examples and counterexamples.
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