有限维希尔伯特空间奇偶相干态压缩特性的数值研究

NUMERICAL STUDIESON THE SQUEEZING PROPERTIESOF ODD AND EVEN COHERENT STATESIN A FINITE-DIMENSIONAL HILBERT SPACE

运用数值计算方法研究了有限维希尔伯特空间谐振子奇偶相干态的压缩特性 .研究表明 ,有限维空间奇偶相干态展现了与通常奇偶相干态截然不同的压缩性质 ,奇相干态不存在二阶压缩但存在振幅平方压缩 ;偶相干态不仅存在压缩而且存在振幅平方压缩 .通常的奇偶相干态是上述奇偶相干态的特例 .

The squzzeing properties of odd and even coherentstates(O-E CSs) in a finite-dimensional Hilbert spaces(FDHS) case are studied by numerical method.It is found that the properties of O-E CSs in a FDHSare defferentfrom those of usual O-E CSs,no squeezing butamplitude-squared squeez- ing (ASS) existin O-CSs;both quadrature squeezing and ASS existin E-CSs.The usual O-E CSs are the special cases of the O-E CSs in a FDHS.