Nonlocal Hanbury-Brown-Twiss interferometry and entanglement generation from Majorana bound states

We show that a one-dimensional device supporting a pair of Majorana bound states (MBS) at its ends can produce remarkable Hanbury-Brown-Twiss-like interference effects between well-separated Dirac fermions of pertinent energies. We find that the simultaneous scattering of two incoming electrons or two incoming holes from the MBS leads exclusively to an electron-hole final state. This 'anti-bunching' in electron-hole internal pseudospin space can be detected through current-current correlations. Further, we show that, by scattering appropriate spin-polarized electrons from the MBS, one can engineer a non-local entangler of electronic spins for quantum information applications. Both the above phenomena should be observable in diverse physical systems enabling us to detect the presence of low-energy Majorana modes.