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Superconducting Qubits

Landau-Zener transitions for Majorana fermions

arXiv

Authors: Sergei Khlebnikov

Year

2017

Paper ID

24466

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

One-dimensional systems obtained as low-energy limits of hybrid superconductor-topological insulator devices provide means of production, transport, and destruction of Majorana bound states (MBSs) by variations of the magnetic flux. When two or more pairs of MBSs are present in the intermediate state, there is a possibility of a Landau-Zener transition, wherein even a slow variation of the flux leads to production of a quasiparticle pair. We study numerically a version of this process, with four MBSs produced and subsequently destroyed, and find that, quite universally, the probability of quasiparticle production in it is 50%. This implies that the effect may be a limiting factor in applications requiring a high degree of quantum coherence.

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One-dimensional systems obtained as low-energy limits of hybrid superconductor-topological insulator devices provide means of production, transport, and destruction of Majorana...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.05779 [2] arXiv https://arxiv.org/abs/1712.05779 [3] Publisher https://arxiv.org/abs/1712.05779

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