Using the asymptotic form of the density matrix the role of the non-diagonal elements of the density matrix is estimated in the lossless micromaser model based on the Jaynes-Cummings model with intensity dependent coupling constant. It is shown that a certain type of a (almost pure) multiphoton state can be generated in this system.
An asymptotic form of the density matrix for the field inside the cavity of a microscopic maser is derived. It is shown that it contains essentially the same information as that which has been inferred from numerical experiments in which the results of repeated measurements on the atoms as they leave the cavity have been taken into account. In particular, both approaches predict that the field, which is assumed to be initially of a thermal nature, evolves towards certain ‘trapping levels’. The analytic approach presented here is more general since it includes the evaluation of non-diagonal matrix elements.
In this paper the possibility of generating nonlinear coherent states of the radiation field in a micromaser is explored. It is shown that these states can be provided in a lossless micromaser cavity under the weak Jaynes-Cummings interaction with intensity-dependent coupling of large number of individually injected two-level atoms in a coherent superposition of the upper and lower states. In particular, we show that the so-called nonlinear squeezed vacuum and nonlinear squeezed first excited states, as well as the even and odd nonlinear coherent states can be generated in the presence of two-photon transitions.