Detecting Majorana Modes via Non-local Two Particle Interferometry

          @misc{ scivideos_PIRSA:11020121,
            doi = {10.48660/11020121},
            url = {https://pirsa.org/11020121},
            author = {Sodano, Pasquale},
            keywords = {Quantum Matter},
            language = {en},
            title = {Detecting Majorana Modes via Non-local Two Particle Interferometry},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {feb},
            note = {PIRSA:11020121 see, \url{https://scivideos.org/pirsa/11020121}}
          }
          

Abstract

We consider one dimensional devices supporting a pair of Majorana bound states at their ends We firstly show [1] that edge Majorana bound modes allow for processes with an actual transfer of electronic material between well-separated points and provide an explicit computation of the tunnelling amplitude for this process. We then show [2] that these devices can produce remarkable Hanbury-Brown Twiss like interference effects between well separated Dirac fermions of pertinent energies: we find indeed that, at these energies, the simultaneous scattering of two incoming electrons or two incoming holes from the Majorana bound states leads exclusively to an electron-hole final state. This "anti-bunching" in electron-hole internal pseudospin space can be detected through a measure of current-current correlations. Finally, we show [2] that, by scattering appropriate spin polarized electrons from the Majorana bound states, one can engineer a non-local entangler of electronic spins useful for quantum information applications. [1] G. W. Semenoff and P. Sodano: J. Phys. B: At. Mol. Opt. Phys. 40, 1479 (2007); [2] S. Bose and P. Sodano: “Non-local Handbury- Brown Twiss Interferometry & Entanglement Generation from Majorana