Generation of higher-order atomic dipole squeezing in high-Q micromaser cavity

In this paper, we have introduced the concept of higher-order atomic dipole squeezing (HOADS) and have, as an example, applied it to a quantum optical model known as Jaynes-Cummings model (JCM) which could generate second-order atomic dipole squeezing (SOADS). We have shown that the JCM coulc also generate HOADS when it is restricted to the following initial condition: the field in a thermal state and the atom in an appropriate coherent state. We have studied in detail the influence of initial atomic coherence or thermal photons on HOADS, the important connection of HOADS with SOADS and second-order field squeezing (SOFS), and the possibility of realization of HOADS in micromaser experiments with Rydberg atoms in a high-Q cavity.