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有限维q非谐振子广义相干态振幅N次方压缩
引用本文:任珉,马志民,马爱群,赵普举,杨志勇,刘宝盈.有限维q非谐振子广义相干态振幅N次方压缩[J].光子学报,2004,33(12):1526-1529.
作者姓名:任珉  马志民  马爱群  赵普举  杨志勇  刘宝盈
作者单位:广州大学,广州,510405;哈尔滨师范大学呼兰学院物理系,哈尔滨,150500;珠海工业学校物理组,珠海,519015;枣庄师专物理系,山东枣庄,277100;西北大学物理学系,西安,710069;西安电子科技大学技术物理学院,西安,710071;西北大学光子学与光子技术研究所,西安,710069
基金项目: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.

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
收稿时间:2004-06-17
修稿时间:2004年6月17日

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






rsity,Xi’an
.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[J].Acta Photonica Sinica,2004,33(12):1526-1529.
Authors:





rsity
  Xi’an
Institution:( Guangzhou University,Guangzhou )
( Department of Physics of HuLan School,Harbin Normal University Heilongjiang,Harbin )
( Zhuhai Polytechnic School,Guangdong Zhuhai )
( Department of Physics,Zaozhuang Teacher’s College,Shandong Zaozhuang )
( Department of Physics,Northwest University,Xi’an )
( School of Technical Physics,Xidian University,Xi’an )
( Institute of Photonics and Photon-technology,Northwest Unive)rsity,Xi’an )
Abstract: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.
Keywords:Finite-dimension Hilbert space  Single-parameter q-deformation  Generalized coherent state  N-th power squeezing of field-amplitude
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