中国物理B ›› 2011, Vol. 20 ›› Issue (11): 114204-114204.doi: 10.1088/1674-1056/20/11/114204

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A new quantum mechanical photon counting distribution formula

袁洪春1, 胡利云2, 范洪义3   

  1. (1)College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China; (2)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; (3)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • 收稿日期:2011-05-01 修回日期:2011-06-30 出版日期:2011-11-15 发布日期:2011-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11174114 and 11175113), the Research Foundation of Changzhou Institute of Technology, China (Grant No. YN1007), and the Research Foundation of Education Department of Jiangxi Province, China (Grant No. GJJ10097).

A new quantum mechanical photon counting distribution formula

Yuan Hong-Chun(袁洪春)a)†, Fan Hong-Yi(范洪义)b), and Hu Li-Yun(胡利云) c)   

  1. a College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China; b Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; c College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
  • Received:2011-05-01 Revised:2011-06-30 Online:2011-11-15 Published:2011-11-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11174114 and 11175113), the Research Foundation of Changzhou Institute of Technology, China (Grant No. YN1007), and the Research Foundation of Education Department of Jiangxi Province, China (Grant No. GJJ10097).

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摘要： By virtue of the density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we calculate photon counting distributions for some given light fields. It is found that the pure squeezed state's photon counting distribution is related to the Legendre function, which is a new result.

关键词: P-representation, photon counting distribution, Laguerre polynomial, Legendre polynomial

Abstract: By virtue of the density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we calculate photon counting distributions for some given light fields. It is found that the pure squeezed state's photon counting distribution is related to the Legendre function, which is a new result.

Key words: P-representation, photon counting distribution, Laguerre polynomial, Legendre polynomial

中图分类号: 

  • 42.50.Ar
03.65.-w (Quantum mechanics)