We show that two-atom correlation measurements of the type involved in
a recent experimental study of the evolution of a mesoscopic superpos
ition state prepared in a definite mode of a high-e cavity can be used
to determine the eigenvalues of the reduced density matrix of the fie
ld, provided the assumed dynamical conditions are actually fulfilled t
o experimental accuracy. These conditions involve (i) a purely dispers
ive coupling of the field to the Rydberg atoms used to manipulate and
to monitor the cavity field, and (ii) the effective absence of correla
tions in the ground state of the system consisting of the cavity coupl
ed to the ''reservoir'' which accounts for the decoherence and damping
processes. A microscopic calculation at zero temperature is performed
and compared to master equation results. [S1050-2947(98)08309-7].