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Supersymmetric Hamiltonian solutions simulated by Andreev bound states

It is argued that an analog of a supersymmetric quantum mechanical spectrum can be realized in a Josephson junction formed by a topological insulator. These Andreev bound states can be studied by means of a circuit quantum electrodynamics setup. At the same time the equilibrium Josephson current has a more complicated analytical structure and is not expressed in terms of the Andreev states by a standard formula.