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

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.

Automated summary

In this study, a new angular momentum state is introduced through the bosonic operator realization of angular momentum operators on a number state. The nonclassicality of this state is then investigated based on the sub-Poissonian distribution, photon number distribution, entanglement entropy, and Wigner distribution. The results demonstrate that the nonclassicality of the new state is stronger for odd q compared to even q, and that the nonclassicality initially increases and then weakens with increasing g for any q. Additionally, the entanglement consistently increases with increasing q for all values of g, and reaches a maximum when g and h fall within certain ranges and q is sufficiently large.