High-quality poor man's Majorana bound states from cavity embedding

TL;DR

This paper demonstrates how a cavity can be used to control and enhance the quality of poor man's Majorana bound states in a two-site Kitaev chain, providing a new tuning method and experimental detection signatures.

Contribution

It introduces cavity-mediated control of the sweet spot condition and interaction screening in a two-site Kitaev chain for improved Majorana bound states.

Findings

Cavity frequency and hopping control the sweet spot condition.

Photon-mediated interactions can screen intrinsic interactions.

Experimental signatures in cavity transmission can detect MBS.

Abstract

Poor man's Majorana Bound States (MBS) arise in minimal Kitaev chains when the parameters are fine-tuned to a sweet spot. We consider an interacting two-site Kitaev chain coupled to a single-mode cavity and show that the sweet spot condition can be controlled with the cavity frequency and the hopping between sites. Furthermore, we demonstrate that photon-mediated effective interactions can be used to screen intrinsic interactions, improving the original quality of the MBS. We describe experimental signatures in the cavity transmission to detect their presence and quality. Our work proposes a new way to tune poor man's MBS in a quantum dot array coupled to a cavity.