Supersymmetrization of the Franke–Gorini–Kossakowski–Lindblad–Sudarshan equation

We investigate departures from the Hamiltonian dynamics such as the quantum decoherence in superpartner quantum systems due to their interaction with the environment. The effective description is given by the Franke–Gorini–Kossakowski–Lindblad–Sudarshan (FGKLS) equation. The prescription for supersymmetrization of this equation is elaborated upon and pairs of related isospectral quantum systems are built. We present some instructive examples of such a construction. (paper)