Higher-order nonclassicality criteria for photon-subtracted and photon-added states via the normalization constant

Abstract

We show that any nonclassicality criterion based on factorial moments, including several higher-order parameters such as the Mandel $Q^{(\ell )}$ parameter, the Lee antibunching function $d_h^{(\ell -1)}$, and the Agarwal--Tara parameter $A_3$, can be computed straightforwardly for photon-subtracted and photon-added states by performing operator reordering of the factorial moments. Within this approach, all relevant quantities depend solely on the normalization constant of the given state.

3 pages