Nonclassical Properties of States Generated by the Excitations on a Coherent State

Abstract

In the past few years there has been considerable interests in attempts to produce non-classical states of light such as squeezed states and photon number states. The squeezed states have reduced fluctuations in one field quadrature when compared with the coherent states.¹ In this paper we consider the state obtained by repeated application of the photon creation operator on the coherent state. Such a state has a nonzero field amplitude and is shown to exhibit non-classical properties like the squeezing in one of the quadratures of the field, and sub- Poissonian photon statistics. We calculate different quasiprobability functions for fields in such states and also the distribution function for one of the field quadratures. In the last section we discuss how such states can be generated in nonlinear processes in cavities.

Work done in collaboration with G.S. Agarwal