Vacuum Rabi Splitting and Dynamics of the Jaynes-Cummings Model for Arbitrary Coupling

The effects of counter-rotating terms(CRTs) on Rabi splitting and the dynamic evolution of atomic population in the Jaynes-Cummings model are studied with a coherent-state approach.When the coupling strength increases,the Rabi splitting becomes of multi-Rabi frequencies for the initial state of an excited atom in a vacuum Held,and the collapses and revivals gradually disappear,and then reappear with quite good periodicity.Without the rotating-wave approximation(RWA),the initial excited state contains many eigenstates rather than two eigenstates under the RWA,which results in the multi-peak emission spectrum.Au analytical approximate solution for the strong coupling regime is obtained,which gives a new oscillation frequency and explains the recovery of collapses and revivals due to the equal energy spacing.