Micromaser with Kerr nonlinearity

A micromaser containing a Kerr medium in its cavity has been investigated. We have presented an exact solution to the model Hamiltonian, which, apart from the usual Jaynes-Cummings terms, contains a Kerr term (a^°2a²). We have shown that the Kerr cavity nonlinearity significantly modifies the photon statistics of the micromaser field. Particularly, it is interesting to note that with the introduction of appropriate nonlinearity a micromaser can be made to approach towards a number state with a low number of photons.