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The Wigner function and phase properties of superposition of two coherent states with the vacuum state
Authors:Wang Yue-Yuan  Wang Ji-Cheng and Liu Shu-Tian
Affiliation: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 150025, China
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 γ and the coherent state coefficient α, it can generate a variety of nonclassical states.
Keywords:coherent states  vacuum state  Wigner distribution function  phase properties
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