Spin Transfer of Quantum Information between Majorana Modes and a Resonator

TL;DR

This paper demonstrates the potential for resonant coupling and entanglement between a mechanical resonator and Majorana bound states in a spin-orbit coupled quantum wire, enabling detection and manipulation of Majorana states via magnetic resonance techniques.

Contribution

It introduces a novel method for coupling Majorana bound states to a resonator through spin currents, with potential applications in quantum information processing.

Findings

Hybridization of Majorana states induces a 4π-periodic torque.

Resonant coupling enables entanglement between Majorana states and the resonator.

Feasibility of detection using magnetic resonance force microscopy is analyzed.

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.