中国物理B ›› 2010, Vol. 19 ›› Issue (7): 74206-074206.doi: 10.1088/1674-1056/19/7/074206

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The Wigner function and phase properties of superposition of two coherent states with the vacuum state

王继成1, 刘树田1, 王月媛2   

  1. (1)Department of Physics, Harbin Institute of Technology, Harbin 150001, China; (2)Department of Physics, Harbin Institute of Technology, Harbin 150001, China;Key Laboratory for Advanced Functional Materials and Excited State Process of Heilongjiang Province, School of Physics and Electronic Engineering, Harbin Normal University, Harbin
  • 修回日期:2009-12-04 出版日期:2010-07-15 发布日期:2010-07-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10674038 and 10974039) and the National Basic Research Program of China (Grant No. 2006CB302901).

The Wigner function and phase properties of superposition of two coherent states with the vacuum state

Wang Yue-Yuan (王月媛)ab, Wang Ji-Cheng (王继成)a, Liu Shu-Tian (刘树田)a   

  1. a Department of Physics, Harbin Institute of Technology, Harbin 150001, China; b Key Laboratory for Advanced Functional Materials and Excited State Process of Heilongjiang Province, School of Physics and Electronic Engineering, Harbin Normal University, Harbin 150025, China
  • Revised:2009-12-04 Online:2010-07-15 Published:2010-07-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10674038 and 10974039) and the National Basic Research Program of China (Grant No. 2006CB302901).

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摘要： This paper discusses some statistical properties of the superposition of two coherent states with a vacuum state, such as sub-Poissonian photon statistics and negativity of the Wigner function. Phase probability distribution and phase variance are calculated. Special cases of the constructed superposition states are presented. The results show that depending on the vacuum state coefficient γ and the coherent state coefficient α, it can generate a variety of nonclassical states.

Abstract: This paper discusses some statistical properties of the superposition of two coherent states with a vacuum state, such as sub-Poissonian photon statistics and negativity of the Wigner function. Phase probability distribution and phase variance are calculated. Special cases of the constructed superposition states are presented. The results show that depending on the vacuum state coefficient $\gamma$ and the coherent state coefficient $\alpha$, it can generate a variety of nonclassical states.

Key words: coherent states, vacuum state, Wigner distribution function, phase properties

中图分类号: 

  • 42.50.Ar
42.50.Dv (Quantum state engineering and measurements) 02.50.Ng (Distribution theory and Monte Carlo studies) 02.50.Cw (Probability theory)