In this paper, a new state called superposition of three-mode photon-added trio coherent state is introduced and its nonclassical properties are studied. Based on the negative values of the Wigner function, we find that the nonclassical as well as non-Gaussian characteristics of the superposition of three-mode photon-added trio coherent state are more obvious than that of the original trio coherent state. The superposition of three-mode photon-added trio coherent state always appears three-mode sum squeezing while the trio coherent state does not. It also shows that the superposition of three-mode photon-added trio coherent state is genuinely entangled. The entanglement degree of this state is more improved compared with the trio coherent state. It becomes bigger and bigger through nonlocally increasing the number of added photons.

中文翻译：

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三模加光子三重相干态叠加的非经典性质

本文介绍了一种称为三模光子相加三重相干态叠加的新态，并研究了其非经典性质。基于Wigner函数的负值，我们发现添加三模光子的三重相干态叠加的非经典和非高斯特征比原始三重相干态更明显。三模光子相加三重相干态的叠加总是出现三模和挤压，而三重相干态则不会。它还表明，三模式光子添加三重相干态的叠加是真正纠缠的。与三重相干态相比，这种态的纠缠度得到了更大的提高。通过非局部地增加添加光子的数量，它变得越来越大。