Shuttling of $\mathbb{Z}_4$ parafermions in an electronic ladder model
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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918489628868608 |
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| author | Osváth, Botond Barcza, Gergely Oroszlány, László |
| author_facet | Osváth, Botond Barcza, Gergely Oroszlány, László |
| contents | Parafermions with non-Abelian statistics have been proposed as a promising platform for quantum computation, potentially enabling a broader set of topologically protected gates than Majorana fermions. The experimental and theoretical exploration of these exotic quasiparticles remains challenging, as their stability is linked to strong electron-electron interactions. A key step toward practical applications is the controlled shuttling of parafermionic modes, which is required for implementing geometric braiding operations. In the present work, we investigate the real-time dynamics of the elementary shuttling process by applying a combination of the density matrix renormalization group and the time-dependent variational principle approaches. We analyze the transport of $\mathbb{Z}_4$ parafermion edge states and assess the corresponding adiabatic speed limit under experimentally relevant conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07887 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Shuttling of $\mathbb{Z}_4$ parafermions in an electronic ladder model Osváth, Botond Barcza, Gergely Oroszlány, László Strongly Correlated Electrons Parafermions with non-Abelian statistics have been proposed as a promising platform for quantum computation, potentially enabling a broader set of topologically protected gates than Majorana fermions. The experimental and theoretical exploration of these exotic quasiparticles remains challenging, as their stability is linked to strong electron-electron interactions. A key step toward practical applications is the controlled shuttling of parafermionic modes, which is required for implementing geometric braiding operations. In the present work, we investigate the real-time dynamics of the elementary shuttling process by applying a combination of the density matrix renormalization group and the time-dependent variational principle approaches. We analyze the transport of $\mathbb{Z}_4$ parafermion edge states and assess the corresponding adiabatic speed limit under experimentally relevant conditions. |
| title | Shuttling of $\mathbb{Z}_4$ parafermions in an electronic ladder model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2605.07887 |