Two-level Jaynes-Cummings Hamiltonian as a supersymmetric quantum-mechanical system.

Abstract

Using a realization of the noncompact orthosymplectic superalgebra $\mathrm{Osp}(\frac{2}{2}, R)$, the two-level Jaynes-Cummings Hamiltonian is shown to be a supersymmetric quantum-mechanical system in the sense of Witten. The existence of the supersymmetry is shown to place a restriction on the physical parameters of the Hamiltonian.