压缩相干态Wigner函数的研究

摘要

Wigner functions corresponding to the Yuen and Stoler squeezed coherent states are obtained respectively by virtue of the density operator derived by the technique of integration within an ordered prod-uct of operators,the invariance in similarity transformation,and the Weyl-Wigner quantization scheme. By an analytical derivation and a numerical comparison,it can be found that there exists significant difference in the two types of Wigner functions,and it provides a new perspective to a deeper understanding of the character-istics of the two kinds of squeezed coherent states.%借助于由有序算符内的积分技术与Weyl编序下相似变换不变性以及 Weyl-Wigner量子化方案导出的密度算符，解析推导出了Yuen压缩相干态和Stoler压缩相干态相对应的Wigner函数。通过解析推导以及数值对比可以发现，这两类压缩相干态Wigner函数存在差异，这种差异为进一步理解两种压缩相干态的特性提供了新的视角。