1210.5139 (Yin-Chen He et al.)

Measuring nontrivial fusion rule of Majorana fermions in inhomogeneous
transverse Ising chain    [PDF]

Yin-Chen He, Yan Chen

We describe various dynamical processes aimed to create and fuse Majorana fermions in inhomogeneous transverse field Ising chain. The number of excitations involved in the process can be greatly suppressed when a part of the inhomogeneous system crosses the quantum phase transition point so that one can reach the limit when only few Majorana fermions are involved. It is shown that fusion of Majorana fermions may result in universal excitations, which may serve as a direct verification of the Majorana fermions fusion rule. Moreover, oscillatory tunneling between two unpaired Majorana fermions may show up. Our theoretical proposal provides a promising way to test nontrivial properties of Majorana fermions experimentally.

View original: http://arxiv.org/abs/1210.5139