In this paper we introduce the deformed boson algebra where the even number states as well as the odd number states are deformed. Based on the set of observables associated with the quantum state, we assume that photon obeys this deformed algebra. We construct the coherent states and investigate the non-classical properties of the coherent states such as photon statistics, Mandel parameter, and quantum fluctuations of quadrature.

中文翻译：

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具有奇偶算子和相干态非经典性质的变形玻色子代数

在本文中，我们介绍了变形的玻色子代数，其中偶数状态和奇数状态都发生了变形。基于与量子态相关的一组可观测量，我们假设光子服从该变形代数。我们构造相干态并研究相干态的非经典性质，例如光子统计量，Mandel参数和正交量子涨落。