Microwave spectroscopy of Josephson junctions in topological superconductors

Abstract

We consider microwave spectroscopy of Josephon junctions composed of hybridized Majorana states in topological 1-D superconductors. We point out how spectroscopic features of the junction appear in the current phase relation under microwave irradiation. Moreover, we discuss a way to directly probe the nonequilibrium state associated with the 4π periodic Josephson effect. In particular, we show how the microwave driving can be used to switch from a 4π to a 2π Shapiro step in the current voltage relation.

8 pages, 6 figures