Deformed Boson Algebra with Parity Operator and Non-classical Properties of Coherent States

Abstract

In this paper we introduce the deformed boson algebra where the even number states as well as the odd number states are deformed. Based on the set of observables associated with the quantum state, we assume that photon obeys this deformed algebra. We construct the coherent states and investigate the non-classical properties of the coherent states such as photon statistics, Mandel parameter, and quantum fluctuations of quadrature.