Invariant theory and exact solutions of the time-dependent supersymmetric two-level multiphoton Jaynes－Cummings model

Abstract

On the basis of the fact that the two-level multiphoton Jaynes-Cummings(TLMJC)model possesses a supersymmetric structure,an invariant is constructed in terms of the supersymmetric generators by working in the sub-Hilbertspace corresponding to a particular eigenvalue of the conserved supersymmetric generators(the time-independent invariant).In this paper,wew investigate the invariant-related unitary transformation approach to exact solutions of the time-dependent TLMJC model.