Dynamics of a three-level Raman coupled atom interacting with two classical and two quantized modes of the electromagnetic field

Anna Napoli, ANTONINO MESSINA

Christopher C. Gerry, Joseph H. Eberly

We describe the dynamics of an exactly solvable Raman coupled model interacting with two modes of a quantized cavity electromagnetic field. The model consists of a three-level atom in the \ensuremath{\Lambda} configuration whose excited state is considered to be far off resonance and is adiabatically eliminated. The effective Hamiltonian for this system contains products of the transition operators between the two ground-state levels and a field annihilation operator from one mode and a creation operator from the other. This Hamiltonian provides an example of a zero-photon process. We study the atomic inversion and investigate the production of nonclassical effects such as antibunched light, violations of the Cauchy-Schwartz inequality, and squeezing.

Christopher C. Gerry, Huaqing Huang

We describe the quantum dynamics of a two-atom Raman coupled model interacting with two quantized cavity electromagnetic fields as an extension of the previously discussed single-atom Raman coupled model [C. C. Gerry and J. H. Eberly, Phys. Rev. A 42, 6805 (1990)]. In particular we study the atomic-population dynamics and the dynamics of the photon statistics in the two cavity modes. We present evidence of cooperative effects.

Sudha Singh, Karuna Gilhare

Anna Napoli

C. K. Law, Joseph H. Eberly

We consider a \ensuremath{\Lambda}-type three-level atom interacting simultaneously with two quantized cavity fields and a classical field, all of different frequencies. The classical field is of constant amplitude and the quantized cavity fields are dynamical variables. The effective interactions are Raman type with the two cavity fields regarded as Stokes and anti-Stokes modes. The classical field acts as the pump-mode, so that both the pump--Stokes and the pump--anti-Stokes transitions are included. We present analytic expressions for the dressed states of the system in a general situation where the two channels have different coupling strengths. The dressed states are closely related to the two-mode squeezed number states. We find that two-mode squeezing and nontrivial phase correlation occur in the model. The effects of weak cavity damping are also discussed.