A transparent mechanism of Q function splitting in a Jaynes-Cummings model with intensity-dependent level shift

摘要

We investigate the tripartite relationship between the collapse and revival, the Q function splitting and the energy level structure in the Jaynes-Cummings (JC) model with an intensity-dependent level shift whose magnitude is tuned to give rise to periodic collapse and revivals. We show that this constitutes a clearer demonstration of the mechanism of Q function splitting and its relation with the collapse and revival than the standard JC model itself. The eigenstates form two groups, both of which form equidistant ladders with differing energy intervals. This structure gives rise to the periodic splitting and reunion of the Q function. Only when the reunion happens, a non-vanishing mutual interference between the two groups is possible and gives rise to observable Rabi oscillations. The possibility of observing the phenomena using a Rubidium atom in a cavity is also discussed. We believe the present work could contribute to the understanding of the collapse and revival and the Q function-splitting phenomena.