Dispersive-Driven Jaynes-Cummings Model: Semiclassical and Stability Analysis
S. S. Hassan, S. Al-Sheikh, R. Saunders and R. A. Alharbey
Within the semiclassical analysis and in the dispersive limit, the non dissipative driven Jaynes-Cummings model admits an uncountable compact set of steady state solutions for the field and atomic variables. In view of the infinite equilibrium points of these steady solutions, stability of various regions (depending on the system parameters) are examined via a Liapunov function.
Keywords: Jaynes-Cummings model, stability analysis and Liapunov function.