SEARCHING FOR PSEUDO-INVARIANT EIGEN-OPERATOR OF THE ∧-TYPE THREE-LEVEL JAYNES–CUMMINGS MODEL

Abstract

We utilize pseudo-invariant eigen-operator (PIEO) method to research the three-level Jaynes–Cummings (JC) model. Our main task is to simplify the JC model and then redescribe the Hamiltonian via supersymmetric transformation generators. Another is to search for the so-called PIEO in terms of supersymmetric generators, which directly leads to the energy-level gap for the above system. We believe that this new approach may be extended to deal with more other generalized JC models.