有限维希尔伯特空间q-畸变谐振子偶相干态及其压缩和反聚束特性  

Even Coherent States of a Finite Dimensional Hilbert Space q Deformation Harmonic Oscillator and Their Squeezing and Antibunching Properties

作　　者：朱从旭[1] 

机构地区：[1]中南工业大学信息工程学院计算中心

出　　处：《光学学报》1999年第4期441-444,共4页Acta Optica Sinica

摘　　要：从一般形式上构造了有限维希尔伯特（Ｈｉｌｂｅｒｔ）空间ｑ－畸变谐振子的偶相干态，并讨论了其量子统计特性。发现有限维希尔伯特空间的偶ｑ－相干态与通常无限维空间的偶ｑ－相干态或偶相干态有明显不同的压缩和反聚束特性。前者的偶ｑ－相干态不仅出现正交压缩，而且出现反聚束效应。In a general way, even q coherent states in a finite dimensional Hilbert space (FDHS) case are constructed explicitly. Some quantum statistical properties are discussed. It is found that squeezing and antibunching properties of even q coherent states in a FDHS case are different from those of usual even q coherent states. No matter the q deformation exhibits or not, the former all exhibits not only quadrature squeezing but also antibunching effect.

关 键 词：有限维 希尔伯特空间 偶q-相干态 压缩 反聚束 

分 类 号：O413[理学—理论物理]