Topological protection of Majorana polaritons in a cavity

• URL: http://arxiv.org/abs/2309.07278v1
• Date: Wed, 13 Sep 2023 19:49:07 GMT
• Title: Topological protection of Majorana polaritons in a cavity
• Authors: Zeno Bacciconi, Gian Marcello Andolina, Christophe Mora
• Abstract summary: Cavity embedding is an emerging paradigm for the control of quantum matter. We address the stability of a one-dimensional topological superconducting phase to the vacuum quantum fluctuations brought by a global cavity mode.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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