Reducing Four-Level Two-Mode Hamiltonian to an Effective Two-Level Hamiltonian With the Addition of Kerr-Like Medium

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 process. The influence of the Stark shifts and the 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.

Quantum reversibility in cooperative interaction of the atom system with bi-modal cavity field in Raman conversion

“…Let us chose the phase for excites state ñ E | in the Esp. (6). Indeed, considering that phase j α is equal to 2πn (n integer number) we obtain the following expression for dynamical trapping condition…”

“…The interaction of multi-level radiators with a two-mode cavity field was in the focus of the attention of many experimental and theoretical [1][2][3][4][5][6][7]. This investigation is connected with the application of the multi-level system as q-bits in quantum computing and quantum processing of information [8][9][10].…”