Topological protection of Majorana polaritons in a cavity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911172451631104 |
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| author | Bacciconi, Zeno Andolina, Gian Marcello Mora, Christophe |
| author_facet | Bacciconi, Zeno Andolina, Gian Marcello Mora, Christophe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07278 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological protection of Majorana polaritons in a cavity Bacciconi, Zeno Andolina, Gian Marcello Mora, Christophe Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics 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. |
| title | Topological protection of Majorana polaritons in a cavity |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2309.07278 |