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

Y. Y. Wang; J. C. Wang; S. T. Liu

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

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

Y. Y. Wang
, J. C. Wang
, S. T. Liu^*

^*Corresponding author for this work

School of Physics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 ? and the coherent state coefficient a, it can generate a variety of nonclassical states.

Original language	English
Article number	074206
Journal	Chinese Physics B
Volume	19
Issue number	7
DOIs	https://doi.org/10.1088/1674-1056/19/7/074206
State	Published - Jul 2010

Keywords

Coherent states
Phase properties
Vacuum state
Wigner distribution function

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10.1088/1674-1056/19/7/074206

Cite this

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title = "The Wigner function and phase properties of superposition of two coherent states with the vacuum state",

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 ? and the coherent state coefficient a, it can generate a variety of nonclassical states.",

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N2 - 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 ? and the coherent state coefficient a, it can generate a variety of nonclassical states.

AB - 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 ? and the coherent state coefficient a, it can generate a variety of nonclassical states.

KW - Coherent states

KW - Phase properties

KW - Vacuum state

KW - Wigner distribution function

UR - https://www.scopus.com/pages/publications/78649365010

U2 - 10.1088/1674-1056/19/7/074206

DO - 10.1088/1674-1056/19/7/074206

M3 - 文章

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SN - 1674-1056

VL - 19

JO - Chinese Physics B

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

Abstract

Keywords

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