Out of Equilibrium Majoranas in Interacting Kitaev Chains
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866914962959499264 |
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| author | Pandey, Bradraj Mohanta, Narayan Dagotto, Elbio |
| author_facet | Pandey, Bradraj Mohanta, Narayan Dagotto, Elbio |
| contents | We employ a time-dependent real-space local density-of-states method to study the movement and fusion of Majorana zero modes in the 1D interacting Kitaev model, based on the time evolution of many-body states.
We analyze the dynamics and both fusion channels of Majoranas using time-dependent potentials, either creating {\it Walls} or {\it Wells}. % focusing on the local density-of-states and charge-density of fermions varying with time. For fast moving Majoranas, we unveil non-equilibrium signatures of the ``strong-zero mode'' operator (quasi parity degeneracy in the full spectrum) and its breakdown in the presence of repulsive Coulomb interactions. Focusing on forming a full electron after fusion, we also discuss upper and lower limits on the Majorana speed needed to reduce non-adiabatic effects and to avoid poisoning due to decoherence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_07913 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Out of Equilibrium Majoranas in Interacting Kitaev Chains Pandey, Bradraj Mohanta, Narayan Dagotto, Elbio Superconductivity We employ a time-dependent real-space local density-of-states method to study the movement and fusion of Majorana zero modes in the 1D interacting Kitaev model, based on the time evolution of many-body states. We analyze the dynamics and both fusion channels of Majoranas using time-dependent potentials, either creating {\it Walls} or {\it Wells}. % focusing on the local density-of-states and charge-density of fermions varying with time. For fast moving Majoranas, we unveil non-equilibrium signatures of the ``strong-zero mode'' operator (quasi parity degeneracy in the full spectrum) and its breakdown in the presence of repulsive Coulomb interactions. Focusing on forming a full electron after fusion, we also discuss upper and lower limits on the Majorana speed needed to reduce non-adiabatic effects and to avoid poisoning due to decoherence. |
| title | Out of Equilibrium Majoranas in Interacting Kitaev Chains |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2209.07913 |