Topological protection of Majorana polaritons in a cavity

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.

7 pages, 4 figures + supplementary material. Comments are welcome

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• Local vs non-local dynamics in cavity-coupled Rydberg atom arrays
• Cavity-modified quantum electron transport in multi-terminal devices and interferometers
• Quantum-vacuum-protected topological edge polaritons
• Dissipation and non-thermal states in cryogenic cavities
• Chern insulators and topological flat bands in cavity-embedded kagome systems