Squeezing and entanglement of a two-mode cascade laser, produced by a three-level atom which is initially prepared by a coherent superposition of the top and bottom levels then injected into a cavity coupled to a two-mode squeezed vacuum reservoir is discussed. I obtain stochastic differential equations associated with the normal ordering using the pertinent master equation. Making use of the solutions of the resulting differential equations, we determined the mean photon number for the cavity mode and their correlation, EPR variables, smallest eigenvalue of the symplectic matrix, intensity difference fluctuation, and photon number correlation. It is found that the squeezed vacuum reservoir increases the degree of the statistical and nonclassical features of light produced by the system. Furthermore, using the criteria developed by logarithm negativity and Hillery-Zubairy criteria, the quantum entanglement of the cavity mode is quantified. It is found that the degree of the entanglement for the system under consideration increases with the squeezing parameter of the squeezed vacuum reservoir.

中文翻译：

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非退化三能级激光与压缩真空容器耦合​​的增强压缩和纠缠

讨论了由三能级原子产生的双模级联激光器的压缩和纠缠，该三级原子最初是通过上下两层的相干叠加而制备的，然后注入耦合到双模压缩真空容器的腔中。我使用相关的主方程获得与正态排序相关的随机微分方程。利用所得微分方程的解，我们确定了腔模的平均光子数及其相关性，EPR变量，辛矩阵的最小特征值，强度差波动和光子数相关性。发现挤压的真空容器增加了系统产生的光的统计和非经典特征的程度。此外，使用对数负性和Hillery-Zubairy准则开发的准则，对腔模的量子纠缠进行了量化。发现所考虑的系统的缠结程度随被挤压的真空容器的挤压参数而增加。