Dynamics and Fusion of Majorana Zero Modes in Quantum-dot based Interacting Kitaev Chains
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914892888408064 |
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| author | Pandey, Bradraj Dagotto, Elbio |
| author_facet | Pandey, Bradraj Dagotto, Elbio |
| contents | Motivated by the recent experimental realization of a minimal Kitaev chain in quantum dot systems, we present our theoretical findings on the dynamics and
fusion of MZMs at or near the $``$sweet spot" $t_h = Δ$ (where the fermionic hopping $t_h$ and superconducting coupling $Δ$ are equal).
We investigated the dynamics and fusion of MZMs using time-dependent real-space local density-of-states methods.
The movement of Majoranas and the detection of fusion channels are crucial for topological quantum computations.
Additionally, we discuss our recent discovery of exotic $``$multi-site" MZMs in $Y$-shaped Kitaev wires,
which is important for the potential braiding of Majoranas in $Y$-junctions formed from arrays of quantum dots.
Finally, we present results on "non-trivial" fusion using canonical Kitaev wires at the sweet spot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20783 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics and Fusion of Majorana Zero Modes in Quantum-dot based Interacting Kitaev Chains Pandey, Bradraj Dagotto, Elbio Superconductivity Motivated by the recent experimental realization of a minimal Kitaev chain in quantum dot systems, we present our theoretical findings on the dynamics and fusion of MZMs at or near the $``$sweet spot" $t_h = Δ$ (where the fermionic hopping $t_h$ and superconducting coupling $Δ$ are equal). We investigated the dynamics and fusion of MZMs using time-dependent real-space local density-of-states methods. The movement of Majoranas and the detection of fusion channels are crucial for topological quantum computations. Additionally, we discuss our recent discovery of exotic $``$multi-site" MZMs in $Y$-shaped Kitaev wires, which is important for the potential braiding of Majoranas in $Y$-junctions formed from arrays of quantum dots. Finally, we present results on "non-trivial" fusion using canonical Kitaev wires at the sweet spot. |
| title | Dynamics and Fusion of Majorana Zero Modes in Quantum-dot based Interacting Kitaev Chains |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2407.20783 |