Two-Channel Interaction Models in Cavity QED

C. K. Law, Ravinder Rupchand Puri, Joseph H. Eberly

Sudha Singh

S. K. Bose, Moorad Alexanian

Ravinder Rupchand Puri, Liwei Wang, Joseph H. Eberly

We will describe several two-channel models of quantized light-matter interactions. In the context of few-mode cavity QED these models provide analogs of familiar optical processes, such as wave mixing, optical pumping, quantum beats, downconversion, and two-photon lasing, none of which have satisfactory analogs in the (one-channel) Jaynes-Cummings model and its extensions. We will mention methods for the exact solution of these models and a few elementary predictions of nonclassical character.

Liwei Wang, Joseph H. Eberly

We study a cavity QED model where a single three-level atom interacts with four quantized cavity fields in a Raman-type interaction, forming two transition channels for the atom. We show that this system is equivalent to the coupling of three angular momenta, and give its exact eigenenergies and eigenvectors in terms of Clebsch-Gordan coefficients, even if the ac Stark shift is included. Some Heisenberg operators are solved exactly as well as approximately. Dynamical evolution of average photon numbers and the atomic inversion are discussed for several initial conditions and a simple example of model interference is examined.