Ultrasensitive Detection of Majorana Fermions via Spin-based Optomechanics with Carbon Nanotubes

We propose a novel optical method to detect the existence of Majorana fermions at the ends of the semiconductor nanowire via the coupling to an electron spin trapped on a carbon nanotube resonator under the control of a strong pump field and a weak probe field. The coupling strength of Majorana fermion to the spin in the carbon nanotube and the decay rate of the Majorana fermion can be easily measured from the probe absorption spectrum via manipulating the spin-mechanical coupling in the suspended\ carbon nanotube. The scheme proposed here will open a good perspective for its applications in all-optical controlled Majorana fermion-based quantum computation and quantum information processing.