Jaynes-Cummings model (JCM) has continued to be a subject of not only
theoretical studies but also experimental investigation.
This model in
the simplest form is described
as a two-level-atomic system interacting with an electromagnetic field.
Many of quantum features of the JCM have been predicted
and observed:
among the most well
known is the revival-collapse phenomenon (RCP) of the atomic inversion.
RCP
is arised from the presence of multiple exchange of photons between the
radiating atom and the cavity mode. Multiphoton single-mode JCM has
taken a considerable interest in the literature. For instance, for this
model the Heisenberg’s equations of motion for the atomic energy
operator have been exactly sloved. In this paper we consider the
interaction of multiphoton N modes of the electromagnetic field with a
two-level atom in terms of the multimode multiphoton Jaynes-Cummings
model JCM. The hamiltonian controlling the system is given in the
framework of rotating wave approximation. We
also consider the optical cavity modes are initially prepared in
general pure quantum states. For this system we seek the relation
between the evolution of ˆσz(T) and WOP. This will be done in the
following organization: In section 2 we give the basic relations and
equations used throughout the paper. In section 3 we discuss the main
results as well as we shed the light on how one can measure ˆσz(T)
using techniques similar to those used for the W function. Conclusions
and remarks are summarized in section 4.