The Wigner function and phase properties of superposition of two coherent states with the vacuum state
Wang Yue-Yuan, Jicheng Wang, Shutian Liu
Abstract
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Wang Yue-Yuan, Jicheng Wang, Shutian Liu
Abstract
Open-access reader
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.
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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.
Key concepts: Superposition principle, Wigner distribution function, Coherent states, Physics, Vacuum state, State (computer science), Phase (matter), Quantum mechanics