Based on the Heisenberg uncertainty relation and the entropy uncertainty relation, the nonclassical effects described by variance squeezing and entropy squeezing for a two-level system driven by a classical phase noisy laser are investigated. Analytical expressions of the variance squeezing and entropy squeezing subjected to the classical phase noisy laser are derived. Our results show that the nonclassical squeezed effects can be protected for a long time in both the Markovian and non-Markovian regions by controlling the ratios between the phase diffusion rate and the system-laser coupling strength. Besides, we also develop an effective strategy to enhance the nonclassical squeezed effects with the help of filtering operation. The underlying physical mechanism to enhance the squeezing is also analyzed.

中文翻译：

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由于经典的相位噪声激光，导致两级系统的压缩

基于海森堡不确定性关系和熵不确定性关系，研究了经典相位噪声激光器驱动的两能级系统的方差压缩和熵压缩所描述的非经典效应。推导了经典相位噪声激光器的方差压缩和熵压缩的解析表达式。我们的结果表明，通过控制相扩散速率与系统-激光耦合强度之间的比率，可以在马氏和非马氏区域中长期保护非经典压缩效应。此外，我们还开发了一种有效的策略，借助滤波操作来增强非经典压缩效果。还分析了增强挤压的潜在物理机制。