Reducing four-level two-mode Hamiltonian to an effective two-level Hamiltonian with the addition of kerr-like medium

Document Type : Research and Reference

Authors

1 Mathematics Department, Faculty of Science, Al-Azhar University (Girls Section)

2 Mathematics Department, Faculty of Science, Ain Shams University

Abstract

We consider a two-mode quantized field described in a coherent state interacting with a four-level atom. An effective Hamiltonian is obtained by adiabatically eliminating the intermediate two levels in a cascade and the e process. The influence of the Stark shifts kerr-like medium on the atomic inversion are examined, as well as on the field entropy, atomic purity and Mandel's Q-parameter. The results of the calculations are illustrated numerically