Vacuum Rabi oscillation of an atom without rotating-wave approximation
  We have investigated vacuum Rabi oscillation of an atom coupled with single-mode cavity field exactly, and compared the results with that of J-C model. The results show that, there is damping Rabi oscillation for an atom, even in strong coupling regime. For small detuning and weak coupling case, the probability for the atom in excited state oscillates against time with different frequency and amplitude from that of J-C model. It exhibits the counter-rotating wave interaction could significantly effect the dynamic behavior of the atom, even under the condition in which the RWA is considered to be justified. On the other hand, the results also reveal that the counter-rotating wave interaction could obviously modify the decay rate in strong coupling regime. And there is Rabi oscillation for initially unexcited atom, which is contrary to that of J-C model. 
Fa-Qiang Wang, Wei-Ci Liu and Rui-Sheng Liang