Light squeezing in the two-photon Jaynes-Cummings model: far-off-resonant limit

E.I. Aliskenderov, Le Kien Fam, A. S. Shumvoskii

Chang-qi Cao, Ding Xiao-hong

The effect of detuning on squeezing of coherent light is studied in the Jaynes-Cummings model and in the large-N (mean photon number) limit. Analytical formulas for quadrature variances are obtained both in the one-photon and two-photon transition cases. In the former case, small detuning only has a small (unfavorable) effect on squeezing. In the latter case, however, the effect of detuning is significant. No squeezing will occur at resonance, and by the presence of detuning, there will be a series of minima appearing in the suppressed quadrature variance during time evolution as happens in the one-photon transition case, with the limit of this series tending to zero. The explicit expressions for the kth minima are also given for fairly large k.

You-Bang Zhan

任珉 ERen Min, 钱妍 Qian Yan, 刘正君 Liu Zhengjun +3 more

A.M. Abdel-Hafez, A.‐S. F. Obada, A. H. Essawy

The multiphoton Jaynes-Cummings model is analyzed for phase properties of a coherent field state. The phase variances tend to the values for a field with a randomly distributed phase of one-photon Jaynes-Cummings model and the off-resonant two-photon Jaynes-Cummings model. Revival of oscillations in the far off-resonant two-photon Jaynes-Cummings model occur much later. On the other hand, the variance of the on-resonant two-photon Jaynes-Cummings model variances oscillate periodically.

Rui-hua Xie, Gong-ou Xu, Dun-huan Liu

Some nonclassical features, including photon antibunching, atomic squeezing and quantum collapse-revival phenomenon, were numerically studied in the vacuum field Jaynes–Cummings model (JCM). The influence of the initial atomic coherence on these features was discussed. It is shown that the squeezing can appear only if the atom is initially prepared in the coherent state, and photon antibunching can occur if the atom is initially in the excited state or the coherent one. The effect of the virtual-photon field was studied in JCM without the rotating-wave approximation (RWA). We have shown that even under the condition in which RWA is considered to be valid, there are significant effects on the nonc1assical features due to the interference between the virtual-photon processes and the real-photon processes. Quantum dynamics of JCM without RWA was also studied. We showed that regular dynamical behavior is exhibited in the cases rather close to the integrable limits, and irregular dynamical behavior is presented in the cases far from the integrable limits; in addition, all the nonclassical features disappear in the cases far from the integrable limits.