Exotic looped trajectories via quantum marking

We provide an analytical theoretical study of exotic looped trajectories (ELTs) in a double-slit interferometer with quantum marking. We propose using an excited Rydberg-like atom and superconducting cavities as which-way detectors, just as in the Scully-Englert-Walther interferometer. We show that the resonant interaction between the atom and the field in the cavities can be used to eliminate the effect of non-exotic trajectories and exhibit only the effect of ELTs in the interference pattern. We quantitatively describe our results for Rubidium atoms and suggest this framework as a scheme to measure exotic looped paths and deviations from the standard superposition principle.