Non-Abelian holonomy of Majorana zero modes coupled to a chaotic quantum dot
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914829689683968 |
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| author | Geier, Max Krøjer, Svend von Oppen, Felix Marcus, Charles M. Flensberg, Karsten Brouwer, Piet W. |
| author_facet | Geier, Max Krøjer, Svend von Oppen, Felix Marcus, Charles M. Flensberg, Karsten Brouwer, Piet W. |
| contents | If a quantum dot is coupled to a topological superconductor via tunneling contacts, each contact hosts a Majorana zero mode in the limit of zero transmission. Close to a resonance and at a finite contact transparency, the resonant level in the quantum dot couples the Majorana modes, but a ground state degeneracy per fermion parity subspace remains if the number of Majorana modes coupled to the dot is five or larger. Upon varying shape-defining gate voltages while remaining close to resonance, a nontrivial evolution within the degenerate ground-state manifold is achieved. We characterize the corresponding non-Abelian holonomy for a quantum dot with chaotic classical dynamics using random matrix theory and discuss measurable signatures of the non-Abelian time-evolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_06754 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Abelian holonomy of Majorana zero modes coupled to a chaotic quantum dot Geier, Max Krøjer, Svend von Oppen, Felix Marcus, Charles M. Flensberg, Karsten Brouwer, Piet W. Mesoscale and Nanoscale Physics If a quantum dot is coupled to a topological superconductor via tunneling contacts, each contact hosts a Majorana zero mode in the limit of zero transmission. Close to a resonance and at a finite contact transparency, the resonant level in the quantum dot couples the Majorana modes, but a ground state degeneracy per fermion parity subspace remains if the number of Majorana modes coupled to the dot is five or larger. Upon varying shape-defining gate voltages while remaining close to resonance, a nontrivial evolution within the degenerate ground-state manifold is achieved. We characterize the corresponding non-Abelian holonomy for a quantum dot with chaotic classical dynamics using random matrix theory and discuss measurable signatures of the non-Abelian time-evolution. |
| title | Non-Abelian holonomy of Majorana zero modes coupled to a chaotic quantum dot |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2304.06754 |