Spin Transfer of Quantum Information between Majorana Modes and a Resonator

Abstract: We show that resonant coupling and entanglement between a mechanical resonator and majorana bound states can be achieved via spin currents in a 1D quantum wire with strong spin-orbit interactions. The bound states induced by vibrating and stationary magnets can hybridize thus resulting in spin-current induced $4\pi$-periodic torque, as a function of the relative field angle, acting on the resonator. We study the feasibility of detecting and manipulating majorana bound states with the use of magnetic resonance force microscopy techniques.