Direct cavity detection of Majorana pairs

Abstract

No experiment could directly test the particle/antiparticle duality of Majorana fermions, so far. However, this property represents a necessary ingredient towards the realization of topological quantum computing schemes. Here, we show how to complete this task by using microwave techniques. The direct coupling between a pair of overlapping Majorana bound states and the electric field from a microwave cavity is extremely difficult to detect due to the self-adjoint character of Majorana fermions which forbids direct energy exchanges with the cavity. We show theoretically how this problem can be circumvented by using photo-assisted tunneling to fermionic reservoirs. The absence of direct microwave transition inside the Majorana pair in spite of the light-Majorana coupling would represent a smoking gun for the Majorana self-adjoint character.

6 pages, 4 figures

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Cited by in corpus (4)

• Topological Zak Phase in Strongly-Coupled LC Circuits
• Magnetic field resilient high kinetic inductance superconducting niobium nitride coplanar waveguide resonators
• Dynamics of a Majorana trijunction in a microwave cavity
• Zero energy states clustering in an elemental nanowire coupled to a superconductor