J. Aliaga et Jl. Gruver, XI-NONDEGENERATE AND LAMBDA-NONDEGENERATE 2-PHOTON TIME-DEPENDENT JAYNES-CUMMINGS MODEL - AN EXACT ALGEBRAIC-SOLUTION, Physics letters. A, 221(1-2), 1996, pp. 19-28
We demonstrate that the dynamics of the Xi and Lambda non-degenerate t
wo-photon time-dependent Jaynes-Cummings models are characterized by t
he bidimensional Fibonacci-like connection between quantal correlation
s of different orders, The time-independent cases are solved and infin
ite sets of invariants of motion are obtained. The close dynamical rel
ationship between both models is shown.