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

TL;DR

This paper introduces a method to compute higher-order nonclassicality criteria for photon-subtracted and photon-added states using the normalization constant, simplifying the analysis of nonclassical features.

Contribution

The authors develop a straightforward approach to evaluate nonclassicality criteria based on factorial moments solely from the normalization constant of the state.

Findings

All relevant nonclassicality parameters depend only on the normalization constant.

The method simplifies the calculation of higher-order nonclassicality criteria.

Applicable to various nonclassical states like photon-subtracted and photon-added states.

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 $d^{(\ell-1)}_h$, 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.