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

doi:10.1088/1674-1056/19/7/074206

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.

Keywords: coherent states vacuum state Wigner distribution function phase properties

Revised: 04 December 2009
Accepted manuscript online:

PACS:	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)

Fund: 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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Wang Yue-Yuan (王月媛), Wang Ji-Cheng (王继成), Liu Shu-Tian (刘树田) The Wigner function and phase properties of superposition of two coherent states with the vacuum state 2010 Chin. Phys. B 19 074206

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

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