Abstract
We consider a voltage-biased Josephson junction between two nanowires hosting Majorana zero modes which occur as topological protected zero-energy excitations at the junction. We show that two Majorana fermions localized at the junction, despite being neutral particles, interact with the electromagnetic field and generate coherent radiation similar to the conventional Josephson radiation. Within a semiclassical analysis of the radiation field, we find that the phase of the radiation gets locked to the superconducting phase difference and that the radiation is emitted at half the Josephson frequency. In order to confirm the coherence of the radiation, we study correlations of the radiation emitted by two spatially separated junctions in a dc-SQUID geometry taking into account decoherence due to spontaneous state-switches as well as due to quasi-particle poisoning.
Highlights
Ever since its discovery, superconductivity has been of great importance for the understanding of quantum coherence
We show that two Majorana fermions localized at the junction, despite being neutral particles, interact with the electromagnetic field and generate coherent radiation similar to the conventional Josephson radiation
Within a semiclassical analysis of the radiation field, we find that the phase of the radiation gets locked to the superconducting phase difference and that the radiation is emitted at half the Josephson frequency
Summary
Superconductivity has been of great importance for the understanding of quantum coherence. Most of the physical phenomena related to superconducting tunnel junctions are governed by the Josephson equations which have their microscopic origin in a coherent transfer of Cooper pairs through the thin barrier These equations predict that microwave radiation, called Josephson radiation, is produced by a voltage biased tunnel junction [1, 2]. With an appropriate tuning of the physical parameters, Majorana zero modes are expected to appear as end states at the chemical potential of the superconductor [8,9,10,11] They are predicted to occur in one-dimensional semiconducting quantum wires in proximity to a conventional s-wave superconductor subject to a moderate magnetic field [12, 13]. The system is closely related to prior work [30,31,32,33] which we will discuss in details below
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