Nonclassical Properties of a Hybrid NAAN Quantum State

We introduce a two-mode hybrid entangled state (NAAN) which is constructed by two n-photon Fock states and two coherent states with an arbitrary relative phase. We show that the NAAN can be considered as the superpositions of NOON states when a ? 0 . In the special case, when a = 0 , the NAAN degenerates to the general NOON. The most interesting nonclassical properties of this state are its strong violations of the CHSH inequality. In addition, we show explicitly some typical nonclassical properties of the NAAN state, such as entanglement, sub-Poissonian distribution, phase fluctuation and squeezing. These findings suggest that the even NAAN states exhibit a high degree of entanglement, while the odd NAAN states have a distinct sub-Poissonian distribution and the optimal phase sensitivity.

Automated summary

We introduce a two-mode hybrid entangled state (NAAN) consisting of two n-photon Fock states and two coherent states with an arbitrary relative phase. The NAAN can be considered as the superposition of NOON states when a ? 0. In the special case where a = 0, the NAAN degenerates to the general NOON. The most interesting nonclassical properties of this state are its strong violations of the CHSH inequality. Additionally, the NAAN state exhibits entanglement, sub-Poissonian distribution, phase fluctuation, and squeezing.