Photonic cross-noise spectroscopy of Majorana bound states

We propose a route to detect Majorana bound states (MBSs) by coupling a\ntopological superconductor to quantum dots (QDs) in a $pnp$ junction. Here, two\nMBSs are coherently coupled to electrons on two QDs, which recombine with holes\nto photons. We focus on the spectroscopy of cross-correlated shot noise and the\npolarization of the emitted photons. Our detection scheme allows us to probe\nthe necessary condition for the emergence of MBSs, specifically, the existence\nof nonlocal triplet superconducting correlations and also the fundamental\nproperty that two MBSs comprise a single complex fermion. We compare our\nresults to the ones obtained from nontopological quasi-MBSs (qMBSs) and\nestablish a correspondence between the number of peaks in the cross-correlation\nwith the number of MBSs in the system. Here, we can identify a tunneling regime\nthat facilitates differentiation between topological MBSs and trivial qMBSs.\nAdditionally, we test the robustness of the detection scheme by the addition of\nuncorrelated quasiparticles.\n