Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909411003334656 |
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| author | Wang, Qiongyao Bai, Jing Xu, Luting Feng, Wei Li, Xin-Qi |
| author_facet | Wang, Qiongyao Bai, Jing Xu, Luting Feng, Wei Li, Xin-Qi |
| contents | We perform simulations for transport and nontrivial fusion of Majorana zero modes in topological superconducting quantum wires. We uncover interesting behaviors of nonadiabatic transition associated with the transport through mini-gate-controlled multiple-segments modulations. Owing to breaking of the initial fermion parity induced by nonadiabatic transitions, a deviation from the statistics of outcomes of nontrivial fusion arises and is analyzed. Moreover, we develop a measurement scheme to infer the amount of fermion parity breaking and nonadiabatic transition probability to excited states, based on the characteristic spectrum of measurement current by a quantum-point-contact detector, by measurement of the charge occupation dynamics in a fusion-outcome-probing quantum dot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10495 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions Wang, Qiongyao Bai, Jing Xu, Luting Feng, Wei Li, Xin-Qi Mesoscale and Nanoscale Physics We perform simulations for transport and nontrivial fusion of Majorana zero modes in topological superconducting quantum wires. We uncover interesting behaviors of nonadiabatic transition associated with the transport through mini-gate-controlled multiple-segments modulations. Owing to breaking of the initial fermion parity induced by nonadiabatic transitions, a deviation from the statistics of outcomes of nontrivial fusion arises and is analyzed. Moreover, we develop a measurement scheme to infer the amount of fermion parity breaking and nonadiabatic transition probability to excited states, based on the characteristic spectrum of measurement current by a quantum-point-contact detector, by measurement of the charge occupation dynamics in a fusion-outcome-probing quantum dot. |
| title | Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2402.10495 |