Entropy and phase properties of isotropic coupled oscillators interacting with a single atom: one-and two-photon processes
Mahmoud Abdel‐Aty, M. Sebawe Abdalla, A.‐S. F. Obada · Journal of Optics B Quantum and Semiclassical Optics · 2002
We investigate a modified model of the Jaynes–Cummings model involving multimode and multiphoton processes. The interaction part of the Hamiltonian consists of a two-level atom interacting with two isotropic fields injected simultaneously within a perfect cavity. The equation governing the system are solved and the relevant wave functions for one-and two-photon processes are obtained. In the two-photon case we invoked the SU (1, 1) Lie algebra to reach this solution. The density matrix elements are calculated and the entropy and the atomic inversion are computed. The influence of the mean photon numbers and the detuning on these quantities are studied. Comparison between the present model and the usual nonlinear model is given. The phase properties are also discussed.