We construct a new class of photon-added squeezed states using a single-mode bosonic realization of the su(1) Lie algebra and explore their squeezing properties as a function of the added-photon number. We observe that their squeezing property increases with increase in the number of added photons. In addition, we discuss some basic properties, such as nonorthogonality and resolution of identity. Such states have vast applications, ranging from quantum optics to quantum information processing.

中文翻译：

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添加了光子的su（1）代数压缩态的构造和性质†

我们使用su（1）Lie代数的单模bosonic实现构造一类新的光子加压缩态，并研究它们的压缩性质与光子数的关系。我们观察到它们的压缩特性随着增加的光子数量的增加而增加。此外，我们讨论了一些基本属性，例如非正交性和身份解析。这种状态具有广泛的应用，范围从量子光学到量子信息处理。