有限维q非谐振子广义相干态振幅N次方压缩  

N-th Power Squeezing of the Field-amplitude on Generalized Single-parameter q-Deformation Coherent State of an Anharmonic Oscillator in a Finite-dimension Hilbert Space

作　　者：任珉[1] 马志民[2] 马爱群[3] 赵普举[4] 杨志勇[5] 刘宝盈[6] 

机构地区：[1]广州大学,广州510405 [2]哈尔滨师范大学呼兰学院物理系,哈尔滨150500 [3]珠海工业学校物理组 [4]西北大学物理学系,西安710069 [5]西安电子科技大学技术物理学院,西安710071 [6]西北大学光子学与光子技术研究所,西安710069

出　　处：《光子学报》2004年第12期1526-1529,共4页Acta Photonica Sinica

基　　金：广东省科技计划项目(批准号:2003C33303);陕西省自然科学基金项目(批准号:2001SL04);陕西省科技攻关项目(批准号:2002K05G9)资助

摘　　要：利用Zhang等人提出的单模辐射场的振幅N次方压缩理论,研究了有限维希尔伯特空间中单参数q变形非简谐振子广义相干态的振幅N次方压缩效应.结果发现该量子光场的确存在场的振幅N次方压缩效应,其压缩条件分别与相位角Φ、维度参数s、压缩幂次N、平均光子数的方根r和变形参数q相关;这一结果与无限维希尔伯特空间单参数q变形广义相干态的情形截然不同.The property of N th power squeezing of field amplitude on generalized single parameter q deformation coherent state of an anharmonic oscillator in a finite dimensional Hilbert space is studied firstly and systematically. By utilizing the theory of N th power squeezing of the field amplitude of single mode radiation field, which is proposed by Zhang Zhiming et al. It is found firstly that there exists really the effect of N th power squeezing of the field amplitude on generalized single parameter q deformation coherent state of an anharmonic oscillator in a finite dimension Hilbert space, and the condition of squeezing closely relates to parameters Φ、S、r and q, which are rather different from the case of generalized single parameter q deformation coherent state generated by an anharmonic oscillator in the infinite-dimension Hilbert space.

关 键 词：有限维希尔伯特空间 单参数q变形 非简谐振子 广义相干态 场的振幅N次方压缩 

分 类 号：O431[机械工程—光学工程]