Pseudo Invariant Eigenoperator Method for Some Generalized Jaynes-Cummings Models

Abstract

Based on the method of pseudo invariant eigenoperator (PIEO), we investigate three kinds of the generalized Jaynes-Cummings (JC) models such as the super JC model, the Kerr nonlinear JC model, and the two-atomic two-photon JC model. Our main task lies in finding the so-called pseudo invariant eigenoperators and deriving the energy-level gap for the above Hamiltonians, respectively. Compared with the usual Schrodinger equation approach or the directly diagonalizing Hamiltonian, the PIEO method could be quite concise and effective to obtain energy-level gap of the given system.