Exact Dynamics of the Two-mode Two-photon Jaynes-Cummings Model Without the Rotating-wave Approximation

K.M. Ng, Chi‐Fai Lo, K. L. Liu

丛红璐 Cong Honglu, 任学藻 Ren Xuezao, 廖旭 Liao Xu

Khalid Zaheer, Muhammad Suhail Zubairy

Rui‐Hua Xie, Dun-huan Liu, Gong-ou Xu

K.M. Ng, Chi‐Fai Lo, K. L. Liu

We have investigated the eigenenergy spectrum of the two-photon Jaynes-Cummings (JC) model with and without the rotating-wave approximation (RWA). Our analysis has indicated that the counter-rotating term dramatically changes the nature of the RWA energy spectrum and that the non-RWA spectrum can be approximated by the RWA spectrum only in the range of a sufficiently small coupling constant. Furthermore, unlike the one-photon counterpart, the two-photon JC model without the RWA is well defined only if the coupling parameter is below a certain critical value. As a result, the dynamics of the two-photon JC model without the RWA is significantly different from its RWA counterpart. For instance, the counter-rotating term can dramatically enhance the field squeezing effect. Besides, we would expect that the quantum dynamics of the two-photon JC model without the RWA is qualitatively different from that of the usual one-photon case.

Feng Mang, Wang Kelin, Shi L +3 more

In coherent-state representation, the Jaynes–Cummings (JC) model in the absence of rotating wave approximation (RWA), i.e., in detuning case, is treated by the solution of some differential equations with constant coefficients and can be exactly solved. This approach can be easily extended to deal with the JC model without RWA in more complicated cases.