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Superconducting Qubits

Topological protection of Majorana polaritons in a cavity

arXiv

Authors: Zeno Bacciconi, Gian Marcello Andolina, Christophe Mora

Year

2023

Paper ID

54876

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

Cavity embedding is an emerging paradigm for the control of quantum matter, offering avenues to manipulate electronic states and potentially drive topological phase transitions. In this work, we address the stability of a one-dimensional topological superconducting phase to the vacuum quantum fluctuations brought by a global cavity mode. By employing a quasi-adiabatic analytical approach completed by density matrix renormalization group calculations, we show that the Majorana end modes evolve into composite polaritonic modes while maintaining the topological order intact and robust to disorder. These Majorana polaritons keep their non-abelian exchange properties and protect a twofold exponentially degenerate ground state for an open chain.

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Cavity embedding is an emerging paradigm for the control of quantum matter, offering avenues to manipulate electronic states and potentially drive topological phase transitions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2309.07278 [2] arXiv https://arxiv.org/abs/2309.07278 [3] Publisher https://arxiv.org/abs/2309.07278

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