New angular momentum state via the bosonic operator realization and its nonclassical property

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Abstract
We theoretically introduce a new angular momentum state via the bosonic operator realization of angular momentum operators on a number state, and study its nonclassicality based on the sub-Poissonian distribution, photon number distribution, entanglement entropy and Wigner distribution. The results show that the nonclassicality of the new state for odd q is more stronger than that for even q, and the nonclassicality for any q always enhances first and then weakens with increasing g. Besides, the entanglement always increases with the increase of q for all of g, and finally reaches a maximum when g and h are in certain value ranges and q is large enough.

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