  Using resonant interaction between atoms and the field in a high quality
cavity, we show how to generate a superposition of many mesoscopic states of
the field. We study the quasi-probability distributions and demonstrate the
nonclassicality of the superposition in terms of the zeroes of the Q-function
as well as the negativity of the Wigner function. We discuss the decoherence of
the generated superposition state. We propose homodyne techniques of the type
developed by Auffeves et al [Phys. Rev. Lett. 91, 230405 (2003)] to monitor the
superposition of many mesoscopic states.
