# Direct cavity detection of Majorana pairs

## TL;DR

This paper proposes a microwave-based method to directly detect Majorana pairs by exploiting photo-assisted tunneling, providing a potential experimental signature of their self-adjoint nature crucial for topological quantum computing.

## Contribution

It introduces a theoretical approach to circumvent the challenge of detecting Majorana fermions' particle/antiparticle duality using microwave techniques and photo-assisted tunneling.

## Key findings

- Proposes a microwave detection scheme for Majorana pairs.
- Identifies the absence of direct microwave transitions as a signature.
- Provides a theoretical framework for experimental verification.

## 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.